Steve and Joy want to make some money over spring break. Their mother tells Joy that she will get a starting bonus of $7 and then $4 an hour. Steve will get a slightly different deal. He will get $12 to start, but only $3 an hour. When will Joy and Steve earn the same amount of money for the same amount of hours worked? How much did they both earn at that time?

Respuesta :

The equation
Joy's money = 7 + 4x
Steve's money = 12 + 3x

Find the same amount of hours
Joy's money = Steve money
7 + 4x = 12 + 3x
4x - 3x = 12 - 7
x = 5
They will earn the same amount of money if they work for 5 hours.

Find how much money
money = 7 + 4x
money = 7 + 4(5)
money = 27
They get the same amount of $27