Applying Systems Of Linear Equations Worksheet With Answers - Lesson 6-5 Page 3

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6-5 Applying Systems of Linear Equations
The solution is
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12.  FINANCIAL LITERACY  For a Future Teachers of America fundraiser, Denzell sold food as shown in the table.
He sold 11 more subs than pizzas and earned a total of $233. Write and solve a system of equations to represent this
situation. Then describe what the solution means.
SOLUTION:  
Let s represent the number of subs sold and p represent the number of pizzas sold.
3s + 5p = 233; s = p + 11
Solve through substitution.
 
 
Now, substitute 25 for p in either equation to find the value of s.
 
 
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.
 
 
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Page 3
Now, substitute 880 for b in either equation to find the value of p .
 

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