Question

Felicity earns $10 an hour for the first 40 hours she works each week. For every hour she works over 40, she earns $15. How many hours did she work in a week if she made $505?

Answer 1

if she worked 40 hours, then how much money did she earn

Answer 2

400?

Answer 3

wait im multiply by 15 right?

Answer 4

150 then?

Answer 5

good, then let's say that x is the number of hours over 40 (eg: x = 2 represents 42 hours)

so she will earn that $400 and an additional 15x dollars due to overtime pay

in total, she has earned 400 + 15x dollars

set this equal to 505 to get


400 + 15x = 505


now solve for x

Answer 6

7?

Answer 7

perfect

Answer 8

so because x represents # of overtime hours, this means that she worked 7 overtime hours

Answer 9

therefore, she worked 40+7 = 47 hours

Answer 10

ohh okay i get it!! thanks so much!!

Answer 11

that's great, yw