Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Weighted averages: word problems
One type of granola has
30
%
30 \%
30%
nuts, by mass. A second type of granola has
15
%
15 \%
15%
nuts. What mass of each type needs to be mixed to make
600
g
600 \mathrm{~g}
600
g
of granola that will have
21
%
21 \%
21%
nuts?
Get tutor help
Milk and cream contain different percents of butterfat. How much
2
%
2 \%
2%
milk needs to be mixed with how much
35
%
35 \%
35%
cream to give
20
20
20
L of
15
%
15 \%
15%
cream.
Get tutor help
In
△
N
O
P
\triangle \mathrm{NOP}
△
NOP
, the measure of
∠
P
=
9
0
∘
,
N
P
=
3
,
P
O
=
4
\angle \mathrm{P}=90^{\circ}, \mathrm{NP}=3, \mathrm{PO}=4
∠
P
=
9
0
∘
,
NP
=
3
,
PO
=
4
, and
O
N
=
5
\mathrm{ON}=5
ON
=
5
. What is the value of the sine of
∠
N
\angle \mathrm{N}
∠
N
to the nearest hundredth?
Get tutor help
A factory has a batch of hand sanitizer with
50
%
50\%
50%
alcohol content. How much pure (
100
%
100\%
100%
concentration) alcohol should they include in a
600
mL
600\text{mL}
600
mL
bottle to make a
\newline
68
%
68\%
68%
mixture?
Get tutor help
A circular field has a circumference of
240
km
240\,\text{km}
240
km
,
3
3
3
cyclists start together 1 can cycle
30
30
30
,
40
,
48
km
40 ,48\,\text{km}
40
,
48
km
a day. Round the fields when will they meet again.
Get tutor help
A company has
35
%
35\%
35%
and
3
%
3\%
3%
hydrogen peroxide solutions. They need an
8
L
8\text{L}
8
L
container with a
12
%
12\%
12%
concentration of hydrogen peroxide. How much of the
3
%
3\%
3%
hydrogen peroxide solution should they include in the container?
Get tutor help
A seasoning blend is
4
%
4\%
4%
onion powder, by mass.
\newline
How much pure onion powder should they include in a
72
g
72\,\text{g}
72
g
bottle to make the final blend have
20
%
20\%
20%
onion powder?
\newline
□
g
\square\,\text{g}
□
g
Get tutor help
Shawn is coasting down a
500
c
m
500 \mathrm{~cm}
500
cm
long ramp on his inline skates. The wheels on his inline skates are
32
c
m
32 \mathrm{~cm}
32
cm
in circumference.
\newline
How many rotations does each wheel make while Shawn is coasting down the ramp?
\newline
Round your answer to the nearest rotation.
\newline
□
\square
□
rotations
Get tutor help
A round cake has a diameter of
30
c
m
30 \mathrm{~cm}
30
cm
. Angela places the cake on a circular cake board with a diameter
5
c
m
5 \mathrm{~cm}
5
cm
longer than that of the cake.
\newline
What is the circumference of the cake board?
\newline
Give your answer in terms of
π
\pi
π
.
\newline
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
A circle has a circumference of
153
153
153
.
86
86
86
units.
\newline
What is the radius of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
A circle has a circumference of
3
3
3
.
14
14
14
units.
\newline
What is the diameter of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
A circle has a circumference of
452
452
452
.
16
16
16
units.
\newline
What is the radius of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
A circle has a circumference of
907
907
907
.
46
46
46
units.
\newline
What is the diameter of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
A circle has a circumference of
28
28
28
.
26
26
26
units.
\newline
What is the diameter of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
A circle has a circumference of
615
615
615
.
44
44
44
units.
\newline
What is the radius of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
A farm supply company in Franklin County has developed its own blend of grains for horses. The blend includes oats, which cost
$
9.40
\$9.40
$9.40
per kilogram, and feed corn, which costs
$
3.40
\$3.40
$3.40
per kilogram. Overall, the mixture costs
$
5.80
\$5.80
$5.80
per kilogram. If a worker at the company is mixing up a batch and starts with
130
130
130
kilograms of oats, how many kilograms of corn should he add to make the blend?
\newline
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
\newline
_
_
_
_
\_\_\_\_
____
kilograms
Get tutor help
A boutique owner sells a salt scrub that is made of a tropical oil blend costing
$
7.95
\$7.95
$7.95
per ounce and sea salt costing
$
1.45
\$1.45
$1.45
per ounce. The salt scrub ultimately costs
$
3.40
\$3.40
$3.40
per ounce. In order to make a new batch of the salt scrub, she just ordered
6
6
6
ounces of the tropical oil blend. How many ounces of sea salt will she need to make the salt scrub with the correct proportions?
\newline
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
\newline
_
_
_
_
\_\_\_\_
____
ounces
\newline
Get tutor help
Latrell works for a company that manufactures liquid dyes for clothing. He currently wants to mix up some
38
%
38\%
38%
-concentrated pink dye. He has
54
54
54
liters of
26
%
26\%
26%
-concentrated pink dye, as well as plenty of
46
%
46\%
46%
-concentrated pink dye. How many liters of the
46
%
46\%
46%
-concentrated pink dye will Latrell need to add to the
26
%
26\%
26%
-concentrated pink dye to make a batch with a concentration of
38
%
38\%
38%
?
\newline
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
\newline
_
_
_
_
\_\_\_\_
____
liters
Get tutor help
For a college chemistry experiment, students need to prepare a solution containing ethylene glycol. They are each given
20
20
20
fluid ounces of a solution containing
2
%
2\%
2%
ethylene glycol, to which they will add another solution that contains
12
%
12\%
12%
ethylene glycol. How much of the
12
%
12\%
12%
solution should they add to obtain a
5
%
5\%
5%
ethylene glycol solution?
\newline
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
\newline
\newline
_
_
_
_
\_\_\_\_
____
fluid ounces
\newline
Get tutor help
A teaching assistant at a university needs
28
%
28\%
28%
acid solution for her class's lab experiment. There isn't any of this concentration in stock, but the lab has
50
50
50
liters of
22
%
22\%
22%
acid solution, as well as a lot of
32
%
32\%
32%
acid solution. How much of the
32
%
32\%
32%
acid solution should the teaching assistant add to the
22
%
22\%
22%
acid solution to obtain a solution with the desired concentration?
\newline
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
\newline
____ liters
Get tutor help
Two friends are making lemonade to sell at their lemonade stand. First, they make
4
liters
4\,\text{liters}
4
liters
of lemonade containing
31
%
31\%
31%
lemon juice, but that doesn't taste quite right to them. They decide to add some store-bought lemonade that is
26
%
26\%
26%
lemon juice until they have a mixture that is
27
%
27\%
27%
lemon juice. How much of the store-bought lemonade should they add?
\newline
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
\newline
\newline
____ liters
\newline
Get tutor help
A landscaping company mixes its own proprietary blend of topsoil that costs
$
29.15
\$29.15
$29.15
per ton to make. The blend contains soil that costs
$
27.65
\$27.65
$27.65
per ton and organic compost that costs
$
42.65
\$42.65
$42.65
per ton. If the company already has
18
18
18
tons of soil on hand, how many tons of compost do they need to mix in?
\newline
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
\newline
_
_
_
_
\_\_\_\_
____
tons
Get tutor help
16
16
16
An area to be landscaped is a sector with a radius of
19
19
19
metres and an angle at the centre of
14
5
∘
145^{\circ}
14
5
∘
. The area is to be covered with turf at
$
12.50
\$ 12.50
$12.50
per square metre and then top-dressed with soil at
$
2.30
\$ 2.30
$2.30
per square metre. Find the total cost of the landscaping to the nearest dollar.
Get tutor help
Fawzia goes out to lunch. The bill, before tax and tip, was
$
15.55
\$15.55
$15.55
. A sales tax of
5
%
5\%
5%
was added on. Fawzia tipped
13
%
13\%
13%
on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.
Get tutor help
An amount of money is shared between Kofi and Ama in the ratio
3
3
3
:
5
5
5
. If Ama received GH¢
4
4
4
,
650
650
650
.
00
00
00
, what is Kofi's share?
\newline
A. GH¢
930.00
930.00
930.00
\newline
B. GH¢
1550.00
1550.00
1550.00
Get tutor help
Three people who work full-time are to work together on a prooject, but their total time on the project is to be equivalent to that of only one person working fuIl-time. If one of the people is budgeted for one-half of his time to the project and a second person for one- third of her time, what part of the third worker's time should be budgeted to this project?
\newline
13.3
%
13.3\%
13.3%
\newline
35.2
%
35.2\%
35.2%
\newline
16.7
%
16.7\%
16.7%
\newline
18.7
%
18.7\%
18.7%
Get tutor help
A local grocer wants to mix candied pecans, priced at
$
14.00
\$14.00
$14.00
pound(lb), and candied cashews, priced at
$
10.00
\$10.00
$10.00
pound(lb). How many pounds of candied cashews must he mix with
8
8
8
lbs of candied pecans to make a mixture that costs
$
12.50
\$12.50
$12.50
lbs? (Round the answer to the nearest tenth of a pound.)
Get tutor help
How many pounds of candy that sells for
$
3.25
\$3.25
$3.25
per
l
b
lb
l
b
must be mixed with candy that sells for
$
2.75
\$2.75
$2.75
per
l
b
lb
l
b
to obtain
20
20
20
l
b
lb
l
b
of a mixture that should sell for
$
3.15
\$3.15
$3.15
per
l
b
lb
l
b
?
Get tutor help
A factory has a batch of hand sanitizer with
50
%
50\%
50%
alcohol content. How much pure
(
100
%
(100\%
(
100%
concentration) alcohol should they include in a
600
mL
600\text{mL}
600
mL
bottle to make a
68
%
68\%
68%
mixture?
\newline
mL
\text{mL}
mL
Get tutor help
You need to infuse
500
ml
500\,\text{ml}
500
ml
of NS over
8
hours
8\,\text{hours}
8
hours
. What will you set your IV pump to deliver in
ml/hr
\text{ml/hr}
ml/hr
?
\newline
A.
61
ml/hr
61\,\text{ml/hr}
61
ml/hr
\newline
B.
63
ml/hr
63\,\text{ml/hr}
63
ml/hr
\newline
C.
65
ml/hr
65\,\text{ml/hr}
65
ml/hr
\newline
D.
75
ml/hr
75\,\text{ml/hr}
75
ml/hr
Get tutor help
A bouncy ball is dropped such that the height of its first bounce is
6
6
6
.
75
75
75
feet and each successive bounce is
74
%
74 \%
74%
of the previous bounce's height. What would be the height of the
6
6
6
th bounce of the ball? Round to the nearest tenth (if necessary).
\newline
Answer:
□
\square
□
feet
Get tutor help
The chef has
3636
3636
3636
pounds of strip loin steak. The amount of weight lost from the trim on each pound is
35
%
35\%
35%
, and
75
%
75\%
75%
more of the steak's weight is lost after cooking it. How many pounds of trimmed, cooked strip loin will the chef have left to serve to the customers?
Get tutor help
Dorris is trying to decide between two laser printers. Both have similar features and warranties so price is the determining factor. Printer A costs
$
159
\$159
$159
and printing costs are approximately
$
0.004
\$0.004
$0.004
per page Printer B costs
$
129
\$129
$129
and printing costs are approximately
$
0.02
\$0.02
$0.02
per page. How many pages need to be printed for the cost of the two printers to be the same?
Get tutor help
Taylor is working two summer jobs, making
$
7
\$ 7
$7
per hour washing cars and making
$
16
\$ 16
$16
per hour tutoring. In a given week, she can work a maximum of
17
17
17
total hours and must earn no less than
$
200
\$ 200
$200
. If Taylor worked
2
2
2
hours washing cars, determine the maximum number of whole hours tutoring that she can work and still meet her requirements.
\newline
Answer:
Get tutor help
An online furniture store sells chairs for
$
200
\$ 200
$200
each and tables for
$
600
\$ 600
$600
each. Every day, the store can ship a maximum of
32
32
32
pieces of furniture and must sell a minimum of
$
12000
\$ 12000
$12000
worth of chairs and tables. If
15
15
15
chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements.
\newline
Answer:
Get tutor help
A circle has a circumference of
113
113
113
.
04
04
04
units.
\newline
What is the diameter of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
Suppose the diameter of a circle is
16
16
16
units. What is its circumference?
\newline
Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
A circle has a circumference of
1
,
017.36
1,017.36
1
,
017.36
units.
\newline
What is the radius of the circle? Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
Suppose the diameter of a circle is
4
4
4
units. What is its circumference?
\newline
Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
To take a taxi, it costs
$
3.00
\$ 3.00
$3.00
plus an additional
$
2.00
\$ 2.00
$2.00
per mile traveled. You spent exactly
$
20
\$ 20
$20
on a taxi, which includes the
$
1
\$ 1
$1
tip you left.
\newline
How many miles did you travel?
\newline
miles
Get tutor help
A factory has a batch of hand sanitizer with
50
%
50 \%
50%
alcohol content.
\newline
How much pure
(
100
%
(100 \%
(
100%
concentration) alcohol should they include in a
600
m
L
600 \mathrm{~mL}
600
mL
bottle to make a
68
%
68 \%
68%
mixture?
\newline
m
L
\mathrm{mL}
mL
Get tutor help
Ujarak has
100
m
L
100 \mathrm{~mL}
100
mL
of a strong toothpaste with a
1.1
%
1.1 \%
1.1%
concentration of sodium fluoride. They have a weaker toothpaste with a
0.3
%
0.3 \%
0.3%
concentration of sodium fluoride.
\newline
What volume, in milliliters, of the weaker toothpaste would Ujarak need to add to the strong toothpaste to create a blend with a
0.8
%
0.8 \%
0.8%
concentration of sodium fluoride?
\newline
m
L
\mathrm{mL}
mL
Get tutor help
Katlego mixed a paint hue that is
40
%
40 \%
40%
red and
60
%
60 \%
60%
yellow. She has
3
m
L
3 \mathrm{~mL}
3
mL
of the mix.
\newline
What volume, in milliliters, of pure yellow paint should Katlego add to have a hue that is
70
%
70 \%
70%
yellow?
\newline
m
L
\mathrm{mL}
mL
Get tutor help
A seasoning blend is
4
%
4 \%
4%
onion powder, by mass.
\newline
How much pure onion powder should they include in a
72
g
72 \mathrm{~g}
72
g
bottle to make the final blend have
20
%
20 \%
20%
onion powder?
\newline
g
Get tutor help
There is a
30
%
30 \%
30%
concentration of cobalt chloride in
90
g
90 \mathrm{~g}
90
g
of a water and cobalt chloride solution.
\newline
What mass, in grams, of water has to evaporate to have a
40
%
40 \%
40%
concentration of cobalt chloride?
\newline
g
Get tutor help
A company has
35
%
35 \%
35%
and
3
%
3 \%
3%
hydrogen peroxide solutions. They need an
8
L
8 \mathrm{~L}
8
L
container with a
12
%
12 \%
12%
concentration of hydrogen peroxide.
\newline
How much of the
3
%
3 \%
3%
hydrogen peroxide solution should they include in the container?
\newline
L
Get tutor help
The bacteria in a Petri dish culture are self-duplicating at a rapid pace.
\newline
The relationship between the elapsed time
t
t
t
, in minutes, and the number of bacteria,
B
(
t
)
B(t)
B
(
t
)
, in the Petri dish is modeled by the following function.
\newline
B
(
t
)
=
10
⋅
2
t
12
B(t)=10 \cdot 2^{\frac{t}{12}}
B
(
t
)
=
10
⋅
2
12
t
\newline
How many bacteria will make up the culture after
120
120
120
minutes?
\newline
Round your answer, if necessary, to the nearest hundredth.
\newline
bacteria
Get tutor help
Olivia has taken an initial dose of a prescription medication.
\newline
The relationship between the elapsed time
t
t
t
, in hours, since she took the first dose, and the amount of medication
M
(
t
)
M(t)
M
(
t
)
, in milligrams (
m
g
\mathrm{mg}
mg
), remaining in her bloodstream is modeled by the following function.
\newline
M
(
t
)
=
50
⋅
e
−
0.75
t
M(t)=50 \cdot e^{-0.75 t}
M
(
t
)
=
50
⋅
e
−
0.75
t
\newline
How many milligrams of the medication will be remaining in Olivia's bloodstream after
6
6
6
hours? Round your answer, if necessary, to the nearest hundredth.
\newline
m
g
\mathrm{mg}
mg
Get tutor help
Katya is a ranger at a nature reserve in Siberia, Russia, where she studies the changes in the reserve's bear population over time.
\newline
The relationship between the elapsed time
t
t
t
, in years, since the beginning of the study and the bear population
B
(
t
)
B(t)
B
(
t
)
, on the reserve is modeled by the following function.
\newline
B
(
t
)
=
5000
⋅
2
−
0.05
t
B(t)=5000 \cdot 2^{-0.05 t}
B
(
t
)
=
5000
⋅
2
−
0.05
t
\newline
In how many years will the reserve's bear population be
2000
2000
2000
? Round your answer, if necessary, to the nearest hundredth.
\newline
years
Get tutor help
A large brine tank containing a solution of salt and water is being diluted with fresh water.
\newline
The relationship between the elapsed time,
t
t
t
, in hours, after the dilution begins, and the concentration of salt in the tank,
S
(
t
)
S(t)
S
(
t
)
, in grams per liter
(
g
/
l
)
(\mathrm{g} / \mathrm{l})
(
g
/
l
)
, is modeled by the following function.
\newline
S
(
t
)
=
500
⋅
e
−
0.25
t
S(t)=500 \cdot e^{-0.25 t}
S
(
t
)
=
500
⋅
e
−
0.25
t
\newline
What will the concentration of salt be after
10
10
10
hours?
\newline
Round your answer, if necessary, to the nearest hundredth.
\newline
g/
1
1
1
Get tutor help
1
2
Next
