Question

Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?

Answer 1

77.20 i think i did it in my head and with a caluclator

Answer 2

Julie received $134.4 when she cashed her paycheck .

Explanation:

Let the amount of paycheck be x

She paid $10 to her brother

She then spent $30 on fuel for her car

So, She left with amount = x-40

Now She spent half of the remaining money on a new tent for camping

Spent on camping =
`(1)/(2)(x-40)`

Remaining =
`(x-40)-(1)/(2)(x-40)`

She bought a pair of running shoes for $29.45

So, Remaining =
`(x-40)-(1)/(2)(x-40)-29.45`

We are given that She had $17.75 left.

So,
`(x-40)-(1)/(2)(x-40)-29.45=17.75`

`x=134.4`

Hence Julie received $134.4 when she cashed her paycheck .