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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?

Respuesta :

calculista

Answer:

3 hours

Step-by-step explanation:

Let

x ----> the number of hours

y ----> the amount earned in dollars

we know that

Jada

[tex]y=7x[/tex] ----> equation A

Andre

[tex]y=5+(x-1)8[/tex] ----> equation B

equate equation A and equation B

[tex]7x=5+(x-1)8[/tex]

solve for x

[tex]7x=5+8x-8\\8x-7x=3\\x=3\ h[/tex]

Verify

For x=3 hours

Jada

[tex]y=7x[/tex] ----> [tex]y=7(3)=\$21[/tex]

Andre

[tex]y=5+(x-1)8[/tex]  ----> [tex]y=5+(3-1)8=\$21[/tex]

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