Question

Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?

Answer 1

20 hours

Explanation:

Let x = number of hours

Jordan

Allowance = $10

Pay per hour = $7

Total = 10 + 7x

Alex

Allowance = $20

Pay per hour = $6.50

Total = 20 + 6.50x

Equate total of Jordan and Alex earnings

10 + 7x = 20 + 6.50x

Collect like terms

10 - 20 = 6.50x - 7x

-10 = - 0.5x

Divide both sides by - 0.5

x = -10 / -0.5

= 20

x = 20 hours

Jordan and Alex will both work for 20 hours to have the same amount of money in a week