Question

Joey is deciding which family to babysit for. Family A pays him $40 one time and plus $8 per hour. Family B pays him $20 one time and $14 per hour. After how many hours will he make the same amount of money?

Answer 1

To find out after how many hours Joey will make the same amount of money, we can set up an equation. Let's represent the number of hours as "h".

For Family A: Joey earns $40 + $8/hour * h = $40 + 8h dollars.
For Family B: Joey earns $20 + $14/hour * h = $20 + 14h dollars.

To find the point where he makes the same amount of money, we can set up the equation:

$40 + 8h = $20 + 14h

Now we can solve for "h":

40 - 20 = 14h - 8h
20 = 6h
h = 20/6

After simplifying, we find that Joey will make the same amount of money after approximately 3.3 hours.