SOLUTION: On Saturday Silvio went shopping. He spent half of his money and 5$ more in the sports shop. He then spent half of what he had left on 2 magazines. After spending half of his rema

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Question 1078918: On Saturday Silvio went shopping. He spent half of his money and 5$ more in the sports shop. He then spent half of what he had left on 2 magazines. After spending half of his remaining money on food, he had 2$ left. How much did he have when he started shopping.?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x, initial amount Silvio had

After sports shop, he had x-x%2F2-5=x%2F2-5.

After the magazines, he had %281%2F2%29%28x%2F2-5%29.

Two dollars left after food:
%281%2F2%29%281%2F2%29%28x%2F2-5%29=2
Solve this for x.
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Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.
On Saturday Silvio went shopping. He spent half of his money and 5$ more in the sports shop.
He then spent half of what he had left on 2 magazines.
After spending half of his remaining money on food, he had 2$ left.
How much did he have when he started shopping.?
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Let M be the money Silvio had before he started shopping.

In the sport shop he spent M%2F2+%2B5 dollars.
Hence, after the sport shop he had {{M - (M/2+5)}}} = M%2F2-5 dollars.

He then spent %281%2F2%29%2A%28M%2F2-5%29 = M%2F4-5%2F2 dollars on 2 magazines.
After that he had %28M%2F2-5%29+-+%28M%2F4-5%2F2%29 = M%2F4+-+5%2F2 dollars.

Then Silvio spent half of that on food, i.e. he spent %281%2F2%29%2A%28M%2F4-5%2F2%29 = M%2F8+-+5%2F4 dollars on food.

After that he had %28M%2F4-5%2F2%29+-+%28M%2F8-5%2F4%29 = M%2F8+-+5%2F4.

It is exactly $2, so you have an equation

M%2F8-5%2F4 = 2.

---->  Multiply by 8 both sides. You will get

M - 10 = 16.

Hence, M = 10 + 16 = 26 dollars.


Answer.  Silvio had $26 before he started shopping.