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Alex spend 3/4 of his money. He gave 1/4 of the remainder to his sister. He had $120 left. How much did have in the beginning?

Alex spend 3/4 of his money. He gave 1/4 of the remainder to his sister. He had $120 left-example-1
User DSM
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1 Answer

5 votes
x = amount of money he had in the beginning

Because he spent 3/7, he has 4/7 left.

(4/7x)

We have to take 1/4 off THIS value. He has 3/4 of this value left.

(4/7x)1/4

Now, lets set it up as an equation

(4/7x)1/4 = 120

Multiply both sides by 4

4/7x = 480

Multiply both sides by 7/4

x = 480 * 7/4
x = 840

Hope his helped!
User Colin Steel
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7.9k points