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

Answer:

3 hours

Step-by-step 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

$y=5+(x-1)8$  ----> $y=5+(3-1)8=\ 21$