Question

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 1

40x + 18(x - 3) = 468
40x + 18x - 54 = 468
58x = 522
x = 522/58
x = 9 <=== what he charges for repeat customers

x - 3 = 9 - 3 = 6 <=== what he charges new subscribers

Answer 2

$6

Explanation:

Let x be the amount Michael collects from each repeat customer

Since we are given that he charged the new subscribers $3 less than the repeat customers.

So, amount collects from each new customer = x-3

Since he had 40 repeated customers

So, the amount Michael collects from 40 repeat customer = $40x

Since he has 18 new customers

So, amount Michael collects from 18 new customer =$18(x-3)

We are also given that his week, Michael collected $468 for delivering newspapers.

So, the equation becomes :

⇒
`40x+18(x-3) =468`

⇒
`40x+18x-54=468`

⇒
`58x=468+54`

⇒
`58x=522`

⇒
`x=(522)/(58)`

⇒
`x=9`

Michael charges for each new subscriber = x-3 = 9-3 =6

Thus Michael charges $6 for each new subscriber