Question

Hannah and Zach together earn $950 for an

advertising drop. They earn equal hourly rates
of pay. If Hannah worked for 10 hours and
Zach for 9 hours, how much
did Zach earn?

Answer 1

$450

Explanation:

First, write out an equation. We know that Hannah and Zach together earnes $950 and they get payed in equal hourly rates, so for now, in this step of solving the problem, we will be adding the number of hours each person worked together.

Hannah worked 10 hrs and Zach worked 9 hrs, so add 10+9 to get 19 hrs worked in all between the two of them.

Let "x" represent the amount of money made each hour, and form your equation.

Your equation would be:
`19x=950`

Then, just solve for "x". Divide both sides by 19.

`(19x)/(19)=(950)/(19)\\x=50`

The "x=50" means that Hannah and Zach each earn $50 per hour.

Now, the question asks us to find the amount of money that Zach made. So, multiply 50 by only the number of hours Zach worked, which is 9.

`50*9=450`

That means that Zach made a total of $450.