Question

This week Michel 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 Michel collects from each customer , which equation models this problem ?

Answer 1

`58x-54=468`

Explanation:

Number of repeat customers = 40

Amount charged from each of the repeat customers = $ x

So,

amount charged from 40 customers = $ 40 x

Number of new customers = 18

As Michel charged each of the new subscribers $3 less than the amount charged from each of the repeat customers,

amount charged from each of the new customers = $ (x - 3)

So,

amount charged from 18 new customers = $ 18(x - 3)

Total amount charged from repeat and new customers =
`\$[(40x)+18(x-3)]=\$40x+18x-54=\$58x-54`

As Michel collected $468 for delivering newspapers,

`58x-54=468`