Problema Solution
Helen earns $6 per hour at her job but if she works 35 hours in a week she is paid 1 1/2 times her regular wage for the overtime hours worked. One week her gross pay was $291. How many overtime hours did she work that week?
Answer provided by our tutors
let
x = the number of regular hours that Helena works per week
y = the number of overtime hours
she works 35 hours in a week
x + y = 35
her gross pay was $291 and 1 1/2 = 3/2
6*x + 6*(3/2)y = 291
by solving the system of equations
x + y = 35
6*x + 6*(3/2)y = 291
we find
x = 8 hr
y = 27 hr
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she worked 27 overtime hours that week.