Posted by **larry** on Tuesday, August 23, 2011 at 9:32pm.

David and Marie had $300 altogether. After David spent 2/5 of his money and Marie spent $20, they each had the same amount of money. How much money did Marie have at first?

- math -
**Reiny**, Tuesday, August 23, 2011 at 11:20pm
david --- x

Marie --- 300-x

David spent 2/5 of his money, so his has (3/5)x left

marie spent $20, so she has 300-x - 20 left

(3/5)x = 300-x-20

times 5

3x = 1400 - 5x

8x = 1400

x = 175, so

David had $175 and

Marie had 300-175 or $125

check:

David has 175 , he spends 2/5 of that or 70 , so he has 105 dollars left

Marie has 300-175 or 125 dollars, she spends 20, leaving her also with 105

Yeahhh!

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