Question

Hamda and Layla get paid per project.

Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.

Layla is paid a project fee of AED 18 plus AED 14.25 per hour.

Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.

Show your steps

Answer 1

`Company: 43 + 24.75h`

Explanation:

Given

Hamda:

`Project\ Fee = 25`

`Hourly\ Rate = 10.50`

Layla:

`Project\ Fee = 18`

`Hourly\ Rate = 14.25`

Required

Derive an expression for total pay

Represent the number of hours with h.

For Hamda and Layla, their pay for h hours is:

`Pay = Project\ Fee + Hourly\ Rate * h`

For Hamda, we have:

`Hamda : 25 + 10.50 * h`

`Hamda : 25 + 10.50 h`

For Layla, we have:

`Layla: 18 + 14.25 * h`

`Layla: 18 + 14.25 h`

For h hours, the company will pay:

`Company: Hamda + Layla`

`Company: 25 + 10.50h + 18 + 14.25h`

Collect like terms

`Company: 25 + 18 + 10.50h + 14.25h`

`Company: 43 + 24.75h`