Question

on a shopping trip, peter spent 1/3 of his money for a jacket and $5 for a hat. If peter still had half of his money left, how much did he have originally?

Answer 1

Let x represent the money he originally had

`(1)/(2)`x =
`(1)/(3)`x + 5

`(1)/(2)`x -
`(1)/(3)`x = 5

`(3)/(6)`x -
`(2)/(6)`x = 5

`(1)/(6)`x = 5

x = 30

Answer: $30