Question

An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hour over 35. One week's paycheck (before deduction) was for $308.00. How many hours did the employee work

Answer 1

Answer: the employee worked for 41 hours

Explanation:

Let x represent the total number of hours that the employee worked. An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hour over 35. Let y represent the amount earned for x hours. Therefore

y = 7×35 + 10.5(x - 35)

y = 245 + 10.5x - 367.5

One week's paycheck (before deduction) was for $308.00. This means that y = $308.00. Therefore,

308 =245 + 10.5x - 367.5

308 = 10.5x - 122.5

10.5x = 308 + 122.5 = 430.5

x = 430.5/10.5

x = 41