Question

Desmond had a savings account. He gave one half of his savings to a charity. He gave 1/4 of his savings to his sister. He then had $20. Left how much did he have before he started giving his money away?

Answer 1

I think he had $100.

Answer 2

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Let m represent the amount of money Desmond started out with.

His outgoes were (1/2)m + (1/4)m, or (3/4)m.

Then m - (3/4)m = $20, which works out to (1/4)M = $20.

Multiplying both sides by 4, to remove fractions and solve for m, we get:

(4)(1/4)m = $80. Then m = $80. Desmond started out with $80.