Question

Dana gets paid $10 per hour plus a $10 bonus for the week. Tommy gets paid $9 per hour plus $13 bonus for the week. Set up a system of equations and tell how many hours they would need to work to earn the same amount.

A) 3 hours
B) 40 hours
C) 20 hours
D) 10 hours

Answer 1

A) 3 hours

Explanation:

x = per hour

y = total

Dana:

y = 10x + 10

Tommy:

y = 9x + 13

Combined (Solve for x):

y = 10x + 10

y = 9x + 13 (Multiply by -1)

y = 10x + 10

-y = -9x - 13

0 = x - 3

x = 3