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Marie spent $75 of her paycheck on clothes. She then spent 2/5 of the remaining money on books. Next, she put half of the money that was left into her savings account and spent the remaining $60 on groceries. How much was Marie’s paycheck?

Enter your answer in the box: $

$275

Step-by-step explanation:

So she put $60 into savings

X is the amount of her paycheck...

after buying the clothes she had X-75

She spend (2/5)(x-75)  on books

The amount deposited into saving and spent on groceries totals 120.

So

X = 75 + (2/5)(x-75) + 120

X = (2/5)(X-75) + 195

X = (2/5)X - 30 + 195

X = (2/5)X + 165

(3/5)X = 165

X = 165*5/3 = 5*55 = 275

Starts with 275

spent 75 on clothes, which makes it 200.

2/5 of 200 is 80, which makes it 120.

60 deposited into savings and 60 on groceries

Her paycheck was 275