Question

Jada earns $7 per hour mowing her neighbors’ lawns. Andre gets paid $5 per hour for the first hour of babysitting and $8 per hour for any additional hour he babysits. What is the number of hours they both can work so that they get paid the same amount?

Answer 1

3 hours

Explanation:

Let

x ----> the number of hours

y ----> the amount earned in dollars

we know that

Jada

`y=7x` ----> equation A

Andre

`y=5+(x-1)8` ----> equation B

equate equation A and equation B

`7x=5+(x-1)8`

solve for x

`7x=5+8x-8\\8x-7x=3\\x=3\ h`

Verify

For x=3 hours

Jada

`y=7x` ---->
`y=7(3)=\$21`

Andre

`y=5+(x-1)8` ---->
`y=5+(3-1)8=\$21`