AnswersAZ-Intermediate Algebra A MA311Solving Linear Equations: Variable on One SideQuestion 4
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Solving Linear Equations: Variable on One Side

Question 4 • AZ-Intermediate Algebra A (MA311)

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

Answer
A
5n – 300 = 1,500
B
5n – 300 = 1,500
C
5n + 300 = 1,500
D
5n + 300 = 1,500
E
5n – 200 + 100n = 1,500
F
5n – 200 + 100n = 1,500
G
5n – 100 – 200n = 1,500
H
5n – 100 – 200n = 1,500

Explanation

The team earns $5 for each of n students, so its revenue is 5n dollars. The fixed costs are $200 + $100 = $300, and profit is revenue minus costs. Setting the profit equal to $1,500 gives 5n − 300 = 1,500, which is choice A (choice B shows the same equation).

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