Applying Systems Of Linear Equations Worksheet With Answers

Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 5

6-5 Applying Systems of Linear Equations

The school needs to sell 880 books to break even. If they sell this number, then their income and expenses both equal

$35,200.

16. PAINTBALL Clara and her friends are planning a trip to a paintball park. Find the cost of lunch and the cost of

each paintball. What would be the cost for 400 paintballs and lunch?

SOLUTION:

Let l represent the cost of lunch and p represent the cost of each paintball.

500p + l =25; 200p + l = 16

Solve through elimination by subtraction.

Now, substitute 0.3 for p in either equation to find the value of l.

The cost of 400 paintballs and lunch would be:

The cost of the lunch is $10 and the cost of each paintball is $0.03. The cost of 400 paintballs and lunch would be

$22.

18. BOOKS The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If

Connie spends $26 for 8 books, how many hardcover books did she buy?

SOLUTION:

Let h represent the number of hardcover books and p represent the number of paperback books Connie bought.

4h + 2p = 26; h + p = 8

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Page 5

Solve through substitution.

First, solve for p in equation 2.

Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 5