Question

One week, Genesis earned $367.40 at her job when she worked for 22 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $584.50?

Answer 1

Explanation:

Givens

• time = 22 hours
• wage = 367.40
• time2 = ?
• desired wage2 = 584.50

Comment

This is a proportion. A proportion is 2 equal ratios. If you know 3 parts of a proportion, you can solve for the 4th.

Equation

wage/time = wage2/time2 Substitute values.

Solution

367.40 /22 = 584,50 /x Cross multiply

367.40x = 22 *584.50 Simplify the right

367.40x = 12859 Divide both sides by 367.40

x = 12859/367.40

x = 35

Answer

Genesis will have to work 35 hours.