72729
AssignmentDropdown

Solving Linear Equations: Variable on One Side

Question 72729 • 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
18x + 40(x – 3) = 468
B
40x + 18(x – 3) = 468
C
40x + 18x – 3 = 468
D
58x – 3 = 468

Explanation

Michael collects x dollars from each of the 40 repeat customers, for 40x dollars total. Each of the 18 new subscribers pays $3 less, or x − 3 dollars, so their total is 18(x − 3). Together, these amounts equal $468, giving 40x + 18(x − 3) = 468, which is choice B. Solving gives x = $9, so each new subscriber pays $9 − $3 = $6.

AI-written and checked against the verified answer.

Previous
Next