Question

Kyle has $25 and gets a job walking Chihuahuas for $2 per hour. Sophia has $4 and walks Rottweilers for $9 per hour. How many hours will they both have to work to have the same amount of money?

Answer 1

3 hours

Explanation:

Let k represent Kyle's balance after h hours. Let s represent Sophia's balance after h hours. Then we have ...

k = 25 +2h

s = 4 +9h

We want to find h so that k=s:

25 +2h = 4 +9h

21 = 7h . . . . . subtract 4+2h

3 = h . . . . . . . divide by 7

If both work 3 hours, they will have the same amount of money.