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?

Respuesta :

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

Answer:

Julie received $134.4 when she cashed her paycheck .

Step-by-step 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 = [tex]\frac{1}{2}(x-40)[/tex]

Remaining =  [tex](x-40)-\frac{1}{2}(x-40)[/tex]

She bought a pair of running shoes for $29.45

So, Remaining =  [tex](x-40)-\frac{1}{2}(x-40)-29.45[/tex]

We are given that She had $17.75 left.

So,  [tex](x-40)-\frac{1}{2}(x-40)-29.45=17.75[/tex]

[tex]x=134.4[/tex]

Hence Julie received $134.4 when she cashed her paycheck .