Question

Malik earns $9.50 per hour at his job. He deposits everything he earns into his savings account. He currently has $100 in his savings account. Linda earns $7.00 per hour at her job. She deposits everything she earns into her savings account. She currently has $320 in her savings account.

Write a system of equations that can be used to determine when Malik and Linda will have an equal amount of money in their accounts after working the same number of hours.

How many work hours will it take for Malik and Linda to have an equal amount of money in their accounts?

Answer 1

It will take Malik 23.157 additional hours of work to save total of $320 into his savings. Which is $220 of what he needs to match Linda.

Malik will work total 23.157 + 10.526hrs = 33.683 to save $320

Linda will work 45.714 hrs to save $320.

Explanation:

Linda - $320 / 7hr rate = 45.714 hours worked to earn this amount.

Find out how many hours Malik worked to save $100 first.

$100 current savings divided by his hourly rate of $9.50 = 10.526 hours worked.

To find out how many hours Malik must work to have $320 in his account, we subtract what he has now $100 from what he needs $220 to match with Linda's $320. Next find how many hours it will take for Malik to save $220.

To get this take $220 / 9.5 hr rate which is what he gets paid per hour to get 23.157.