Georgia works part-time at a daycare while she is going to college. She earned $160 last week. Georgia worked 12 more hours than the amount she is paid per hour. What is Georgia's hourly pay rate.

Question

Mathematics

Atticus Merritt

12 October, 16:25

Georgia works part-time at a daycare while she is going to college. She earned $160 last week. Georgia worked 12 more hours than the amount she is paid per hour. What is Georgia's hourly pay rate.

+3

Answers (1)

Know the Answer?

Bosley · Answer 1

B. $8

Step-by-step explanation:

Given:

Total payment, T = $160

Hourly rates = $t/hour

= total payment/total time worked

The question said, "worked 12 more hours than the amount she is paid per hour".

Total time worked = (12 + t) hour

Therefore, Hourly rates of payment, t = 160 / (12 + t)

t^2 + 12t - 160 = 0

Solving the above quadratic equation,

t = - 20 and 8

t = $8