Alex worked 32 hours at the normal rate and 4 hours at time-and-a-half, earning a total of $909.20. Find her normal rate of pay per hour

Answer 1

32X+4(3X/2)=$909.20

32X+6X=$909.20

38X=$909.20

X=$909.20/38 = $23.926...About or almost $24 per hour is the normal rate About 7 cents per hour less than $24

32($24)+4(3)($24)/2 = $768+$144 = $912

7 cents per hour for 32 hours is $2.24

time and a half would be 3(7)/2 or 10.5 cents per hour for 4 hours is $.42 or 42 cents

$2.24 + $.42 = $2.66 Subtract $912 minus $2.66 = $909.33 which is very close to $909.20

Just 13 cents off. Normal rate of $23.93 is best approximation for 2 decimal places

Although the employer cheated the employee out of 13 cents