SOLUTION: Erica gets $0.60 an hour for ordinary time and $0.90 an hour for overtime if she gets $32.40 for 50 hours a week how many hours overtime

Question 1160513: Erica gets $0.60 an hour for ordinary time and $0.90 an hour for overtime if she gets $32.40 for 50 hours a week how many hours overtime
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
she gets .60 an hour for regular time and .90 an hour for overtime.
she gets 32.40 for 50 hours.
let x = the number of regular hours andlet y = the number of oertime hours.
you get:
x + y = 50
.60x + .90y = 32.40
multiply both sides of the first equation by .6 and leave the second equation as is to get:
.60x + .60y = 30
.60x + .90y = 32.40
subtract the first equation from the second to get:
.30y = 2.40
solve for y to get:
y = 2.40 / .30 = 8
since x + y = 50, then x = 42.
looks like she worked 42 hours regular time and 8 hours overtime.
.6 * 42 + .9 * 8 = 32.40, so these numbers look correct.
your solution is that she worked 8 hours overtime.

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

Erica gets $0.60 an hour for ordinary time and $0.90 an hour for overtime if she gets $32.40 for 50 hours a week how many hours overtime

Let amount of overtime hours be T
Then amount of regular-time hours = 50 - T
We then get: .9T + .6(50 - T) = 32.4
.9T + 30 - .6T = 32.4
.3T = 2.4
Amount of overtime hours, or
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