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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

The student council at Belleville High School is raising money by selling hot apple cider and hot chocolate at this week's games. They sold

16

apple ciders and

74

hot chocolates at the football game, raising a total of

\$180

\$138

at the soccer game by selling

42

apple ciders and

27

hot chocolates. How much is the student council selling each drink for?

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The student council is selling apple cider for

\$

_____ and hot chocolate for

\$

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

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Jackie and her friend Isabelle are each baking apple pies and tarts for a bake sale, using the same recipes. Jackie baked

6

4

apple tarts, using a total of

72

apples. Isabelle made

7

9

apple tarts, which used

110

apples. How many apples does each dessert require?

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An apple pie uses

\_

apples and an apple tart requires

\_

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

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Samantha and her friend Mabel are each baking apple pies and tarts for a bake sale, using the same recipes. Samantha baked

7

8

apple tarts, using a total of

88

apples. Mabel made

1

8

apple tarts, which used

40

apples. How many apples does each dessert require?

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An apple pie uses

\_

apples and an apple tart requires

\_

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

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At the Middletown Ice Cream Parlor, one group of friends ordered

5

small servings of ice cream and

5

large servings of ice cream for

\$30

. Another group of friends ordered

2

small servings of ice cream and

5

large servings of ice cream for

\$24

. How much does the ice cream cost?

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The ice cream costs

\$\_\_\_\_

for a small serving and

\$\_\_\_\_

for a large serving.

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

\newline

There are two trails near Isaiah's house that he runs regularly, a short loop and a long loop. Last week, he ran

2

short loops and

1

long loop, for a total of

17

kilometers. This week, he ran

5

short loops and

1

long loop, covering a total of

29

kilometers. What is the length of each loop?

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The short loop has a length of _____ kilometers, and the long loop has a length of _____ kilometers.

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

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

69

boxes of truffles and

89

boxes of peanut brittle, raising a total of

\$454

. This year, they sold

73

boxes of truffles and

99

boxes of peanut brittle, from which they raised

\$490

. How much does the band earn from each item?

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\$\_

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

The cheerleaders from Centerville High School are doing a giftwrapping fundraiser at a clothing store. Yesterday, they wrapped

36

small clothing boxes and

17

large clothing boxes, using a total of

441

feet of wrapping paper. The day before, they wrapped

33

small clothing boxes and

38

large clothing boxes, using a total of

606

feet of gift wrap. How much paper does it take to wrap each size of box?

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Each small box uses _____ feet of paper and each large one uses _____ feet.

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

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At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in the candle holders. On the east side, he replaced candles in

6

small candle holders and

5

large candle holders, using a total of

64

candles. On the west side, he replaced the candles in

22

small candle holders and

20

large candle holders, for a total of

248

candles. How many candles does each candle holder hold?

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Each small candleholder holds

\_

candles, and each large one holds

\_

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

\newline

Karen has a home-based business making corsages and boutonnieres for school dances. Last year, she sold

34

39

boutonnieres, which brought in a total of

\$1,669

. This year, she sold

39

36

boutonnieres, for a total of

\$1,731

. How much does each item sell for?

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A corsage sells for

\$

_____, and a boutonniere sells for

\$

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

\newline

An administrative assistant is making some copies. She made

47

one-sided copies and

26

two-sided copies for the V.P. of Marketing, which took a total of

177

seconds. Next, she made

25

one-sided copies and

26

two-sided copies for the Director of Sales, which took

155

seconds. How long does it take to make each type of copy?

\newline

\_

seconds to make a one-sided copy and

\_

seconds to make a two-sided copy.

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

\newline

At the Castroville Ice Cream Parlor, one group of friends ordered

1

small serving of ice cream and

3

large servings of ice cream for

20

. Another group of friends ordered

1

small serving of ice cream and

4

large servings of ice cream for

26

. How much does the ice cream cost?

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The ice cream costs `\$`_____ for a small serving and `\$`_____ for a large serving.

Solve using elimination.

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x + 6y = -15

\newline

-2x + 6y = 12

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(\_,\_)