Applying Systems Of Linear Equations Worksheet With Answers

Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 4

6-5 Applying Systems of Linear Equations

Denzell sold 25 pizzas and 36 subs.

15. CCSS MODELING The break-even point is the point at which income equals expenses. Ridgemont High School

is paying $13,200 for the writing and research of their yearbook plus a printing fee of $25 per book. If they sell the

books for $40 each, how many will they have to sell to break even? Explain.

SOLUTION:

Let b represent the number of books they have to sell and p represent the break-even point.

13,200 + 25b = p ; 40b = p

Solve through substitution.

Now, substitute 880 for b in either equation to find the value of p .

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.

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

Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 4