Jake and amber worm at McDonald's they each earn $8 per hour jake works three more hours then amber if jake and amber made a total of $120 how many hours did jake work?

Respuesta :

Answer:

9 hours

Step-by-step explanation:

Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked

8x + 8y = 120

y = 3 + x

Substitute the second equation into the first

8x + 8(3+x) = 120

Distribute

8x + 24 + 8x = 120

Combine like-terms

16x + 24 = 120

Subtract 24 on both sides

16x = 96

Divide 16 on both sides

x = 6 (hours Amber worked)

Plug in this x-value into on of the two equations. I will use the second

y = 3 + 6

y = 9