Question

Malik earns $9.50 per hr. At his job. He deposits everything he earns into his savings account. He currently has $100 in his account. Linda earns $7 per hr. She deposits everything into her savings account. She currently has $320 in her 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 amount of hours. How many hours will it take for Malik and Linda to have an equal amount of money in their account? Show work

Answer 1

`88\ hours`

Explanation:

Let

x------> the number of hours

y----> amount in the saving account

we know that

Malik

`y=9.50x+100` -----> linear equation A

Linda

`y=7x+320` -----> linear equation B

To find how many hours will it take for Malik and Linda to have an equal amount of money in their account, equate equation A and equation B

`9.50x+100=7x+320`

solve for x

`9.50x-7x=320-100`

`2.50x=220`

`x=88\ hours`