Resources

Resources

Solve a system of equations using elimination

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

A coffee shop is having a sale on prepackaged coffee and tea. Yesterday they sold

16

packages of coffee and

13

packages of tea, for which customers paid a total of

\$235

. The day before,

33

packages of coffee and

13

packages of tea was sold, which brought in a total of

\$388

. How much does each package cost?

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Per package, coffee costs

\$\_

\$\_

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

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A caterer is making cookie trays for upcoming holiday parties. This morning, she made

4

small trays and

1

large tray, which contain a total of

103

cookies. In the afternoon, she made

4

small trays and

2

large trays, which contain a total of

158

cookies. How many cookies do the different sized trays contain?

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The small tray contains

\_

cookies and the large one contains

\_

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

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Yesterday a chef used

40

10

chocolate souffles and

10

lemon meringue pies. The day before, he made

2

chocolate souffles and

6

lemon meringue pies, which used

16

eggs. How many eggs does each dessert require?

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A chocolate souffle requires

\_

eggs and a lemon meringue pie requires

\_

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

Two friends visited a taffy shop. Tanvi bought

5

kilograms of strawberry taffy and

5

kilograms of banana taffy for

\$65

. Next, Albert bought

5

kilograms of strawberry taffy and

1

kilogram of banana taffy for

\$41

. How much does the candy cost?

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A kilogram of strawberry taffy costs

\$

_____, and a kilogram of banana taffy costs

\$

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

Two friends visited a taffy shop. Rachel bought

2

kilograms of strawberry taffy and

5

kilograms of banana taffy for

\$43

. Next, Devon bought

1

kilogram of strawberry taffy and

1

kilogram of banana taffy for

\$11

. How much does the candy cost?

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A kilogram of strawberry taffy costs

\$

_____, and a kilogram of banana taffy costs

\$

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

Band students at Silvergrove High School sell candy every year as a fundraiser. Last year, they sold

86

boxes of truffles and

87

boxes of peanut brittle, raising a total of

\$519

. This year, they sold

62

boxes of truffles and

74

boxes of peanut brittle, from which they raised

\$408

. How much does the band earn from each item?

\newline

\$\_

from each box of truffles and

\$\_

from each box of peanut brittle.

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

Mrs. Chapman sometimes makes her melon salad for special events. When she made it a couple months ago, she used

1

kilogram of honeydew melon and

2

kilograms of watermelon, which cost her

\$9

. Today, she used

2

kilograms of honeydew melon and

1

kilogram of watermelon, spending a total of

\$9

on the melons. Assuming that the prices of the melons haven't changed, how much does a kilogram of each type of melon cost?

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Honeydew melon costs

\$

_____ per kilogram and watermelon costs

\$

_____ per kilogram.

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

A charitable organization in Newport is hosting a black tie benefit. Yesterday, the organization sold

92

regular tickets and

94

VIP tickets, raising

\$21,408

92

regular tickets and

93

VIP tickets were sold, bringing in a total of

\$21,238

. How much do the different ticket types cost?

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A regular ticket costs

\$

_____, and a VIP ticket costs

\$

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

Two coworkers picked up some writing instruments at the office supply store. Abdul selected

6

boxes of pencils and

8

boxes of ballpoint pens, paying

\$28

. Next, Ezra spent

\$22

5

boxes of pencils and

6

boxes of ballpoint pens. How much does a box of each cost?

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A box of pencils costs

\$

_____, and a box of pens costs

\$

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

A clothing store is donating socks to various charities. The store gave

5

regular packs and

5

value packs to a homeless shelter, which contained a total of

420

pairs of socks. For foster children, the store donated

5

regular packs and

6

value packs, which equaled

456

pairs. How many pairs of socks are in each pack?

\newline

\_

pairs of socks in each regular pack and

\_

pairs in each value pack.

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

One Friday night, two large groups of people called Booneville Taxi Service. The first group requested

2

2

minivans, which can seat a total of

18

people. The second group asked for

3

2

minivans, which can seat a total of

22

people. How many passengers can each type of taxi seat?

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A sedan can seat _____ people, and a minivan can seat _____ people.

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

The receivers for the Seaside University football team are practicing running different routes on the field. They have to run a specific distance so that the quarterback knows exactly where to throw the ball. Damon ran

18

post routes and

29

slant routes, which meant he ran a total of

473

yards. Porter ran

28

post routes and

29

slant routes, which equaled a total of

623

yards. How long is each route?

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A post route is

\_

yards long and a slant route is

\_

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

\newline

An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled

9

small baskets and

5

large baskets, using a total of

180

pieces of fruit. Using wire baskets, the employee assembled

2

small baskets and

8

large baskets, using a total of

164

pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?

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The small baskets each include

\_

pieces and the large ones each include

\_

Solve using elimination:

\newline

\begin{cases} 2x - 3y = -19 \ -x + y = 8 \end{cases}

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