72730
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Solving Linear Equations: Variable on One Side

Question 72730 • AZ-Intermediate Algebra A (MA311)

This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he charged the new subscribers $3 less than the repeat customers. | If x represents the amount Michael collects from each repeat customer, which equation models this problem? | What is the fee Michael charges each new subscriber?

Answer
A
$4
B
$5
C
$6
D
$7

Explanation

Each of the 40 repeat customers pays x dollars, and each of the 18 new subscribers pays x − 3 dollars. So the total is 40x + 18(x − 3) = 468. Solving gives 58x − 54 = 468, so x = 9; new subscribers pay 9 − 3 = $6, choice C.

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