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(39623)   (Show Source): You can put this solution on YOUR website!
x, initial amount Silvio had

After sports shop, he had .

After the magazines, he had .

Two dollars left after food:

Solve this for x.
.
.
.

Answer by ikleyn(52833)   (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.?
~~~~~~~~~~~~~~~~~~~

Let M be the money Silvio had before he started shopping.

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

He then spent  =  dollars on 2 magazines.
After that he had  =  dollars.

Then Silvio spent half of that on food, i.e. he spent  =  dollars on food.

After that he had  = .

It is exactly $2, so you have an equation

 = 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.


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