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? Show your work.

Answer 1

Part a) The system of equations is

`y=9.50x+100`

`y=7.00x+320`

Part b)
`88\ hours`

Explanation:

Part a) Find the system of equations

Let

x-----> the number of hours

y----> amount of money in their saving accounts

we know that

Malik's equation

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

Linda's equation

`y=7.00x+320` ------> equation B

Part b) Determine when Malik and Linda will have an equal amount of money in their accounts after working the same number of hours

equate equation A and equation B and solve for x

`9.50x+100=7.00x+320`

`9.50x+7.00x=320-100`

`2.50x=220`

`x=220/2.50=88\ hours`