Question

solve this problem backwards.
Gabriel went to a theme park with some money. He spent half of it on a Harry Potter wand.3/4 to buy a present for his little sister,$8.00 to buy himself a drink. And $2.00 to buy a souvenir How much did he start with?

Answer 1

The last amount he spent was $2.
Before that he spent $8.
That is a total of $10 spent on the last two items.

He started with x amount.
He spent half of x, or 0.5x.
Now he had 0.5x left.
Then he spent 3/4 of what was left.
That means was left with 1/4 of 0.5x.
1/4 of 0.5x = 0.25 * 0.5x = 0.125x

We know from above that the amount of money he had left to spend after the first two purchases was $10.
That means that
0.125x = $10
Solve for x.