Question

Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.

Answer 1

Duration = 6 hours

Explanation:

Given

`Regina: 6.50h + 16`

`Phil: 3(2.5h + 5)`

`Joseph: 7.50h + 10`

Required

When will Ragina and Joseph earn equal amounts

To solve this:

`Regina = Joseph` must be true

This gives:

`6.50h + 16 = 7.50h + 10`

Collect Like Terms

`7.50h - 6.50h = 16 - 10`

`h = 6`

Hence, number of hours is 6