Question

A person earns $187.42 before deductions for 3 days work. What is the hourly rate of pay? (Assume an 8 hour day)

$ /hour?

Answer 1

$7.80 an hour if I am correct.

Answer 2

The hourly rate of pay is $7.81/hour

Explanation:

We can use proportion to solve this problem, but first we need to find the total number of hours she works in 3 days.

From the question, she works 8 hours per day, this implies that in 3 days, she works 8 × 3 = 24 hours

Using proportion;

Let x represent the rate of pay per hour

$187.42 = 24 hours

x = 1 hour

Cross- multiply

24×x = $187.42 × 1

24 x = $187.42

Divide both-side of the equation by 24

`(24x)/(24)` =
`(187.42)/(24)`

( On the left-hand side of the equation, 24 at the numerator will cancel-out 24 at the denominator leaving us with just x while at the right-hand side of the equation 187.42 will be divided by 24)

x = $7.81

Therefore, the hourly rate of pay is $7.81/hour