Question 1160513
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.