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Solve system of equations: Complex word problems

\$48,000

salary per year. In order to qualify for an

85

\%

loan, his monthly PITI payment cannot be more than

28

\%

of his monthly salary. The annual taxes and insurance will be

\$2,352.60

. If the monthly principal and interest payment is

\$6.00

\$1,000

of loan amount, what is the most sales price he can afford?

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is

15:1

. He currently has

40

grams of the spice blend, and he can go buy more if necessary. He wants to make

10

servings, where each serving has

75

grams of rice. Overall, David spends

4.50

dollars on rice.

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What is the price of rice per gram?

₹ 3,690

, whereas an almirah costs

₹ 12,810

more than the cost of the table. Find the total cost of both the table and aimirah.

You currently drive

240

miles in a car that gets

24

miles per gallon of gas. you are considering buying a new fuel-efficient car for

\$

13,000

(after trade-in on your current car) that gets

40

miles per gallon.Insurance premiums for the new and old car are

\$

720

\$

500

per year, respectively. You anticipatespending

\$

1050

per year on repairs for the old car and having no repairs on the new car. Assume gas costs

\$

2.45

per gallon. Over a seven-year period, is it less expensive to keep your old car or buy a new car? By how much?

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A) the new car is

\$3420.08

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B) the old car is

\$3622.80

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C) the new car is

\$3420.08

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D) the old car is

\$3622.80

A given number is a multiple of

7

. It is between

30

60

. It is also a factor of

70

. What is the number?

The total cost of a table and

6

\$ 668

0

\$ 18

. Find the cost of the table.

Catriona earns a salary of

\$87,210

and claims these deductions:

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Travel and entertainment expenses

\$650.25

\newline

Depreciation of home computer

\$314.80

\newline

Membership of a professional association

\$120.50

\newline

a Calculate Catriona's taxable income.

\newline

b Calculate Catriona's income tax payable.

\newline

c What is the amount of Catriona's Medicare levy?

Fabiano wants to score at least

6.5

points in a major chess tournament. He scores

1

point for each game that he wins, and he scores

0.5

points for each game that ends in a draw. Which of the following inequalities represents the number of games Fabiano should win

(W)

(D)

to achieve his goal?

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1

\newline

W+0.5D \leq 6.5

\newline

0.5W+D \geq 6.5

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W+0.5D \geq 6.5

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0.5W+D \leq 6.5

b) Emma's limo service charges

\$ 50

\$ 2.10

per km. Sarah's limo service charges

\$ 42

\$ 2.20

per km. When do they charge the same amount?

16

-ounce bottle of Fresh Water is

\$ 1.76

20

-ounce bottle of Spring Water is

\$ 2.40

. Which statement about the unit prices is true?

\newline

Spring Water has a lower unit price of

\$ 0.11

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Fresh Water has a lower unit price of

\$ 0.11 /

\newline

Spring Water has a lower unit price of

\$ 0.12

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Fresh Water has a lower unit price of

\$ 0.12 /

My grandmother needs to find the best company to deliver a package. Company A charges a fee of

\$ 14

\$ 7

per pound. Company B charges a fee of

\$ 15

\$ 6

per pound. At what weight will the companies charge the same amount and what is the equivalent cost?

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y

7

x

4

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y

6

x

5

The sum of the first

6

terms of a geometric series is

15624

and the common ratio is

5

. What is the first term of the series?

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

and printing costs are approximately

\$ 0.04

per page Printer B costs

\$ 194

. and printing costs are approximately

\$ 0.02

per page. How many pages need to be printed for the cost of the two printers to be the same?

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\_\_\_\_\_

pages need to be printed for the cost of the two printers to be equal.

If the price of a

7

-pound bag of dried black beans is

\$9.80

, which of the following statements is true?

\newline

1

\newline

(A) The price of the dried black beans is

\$1.00

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(B) The price of the dried black beans is

\$1.40

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(C) The price of the dried black beans is

\$2.80

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(D) The price of the dried black beans is

\$68.60