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

$\frac{1}{2}$x = $\frac{1}{3}$x + 5

$\frac{1}{2}$x - $\frac{1}{3}$x = 5

$\frac{3}{6}$x - $\frac{2}{6}$x = 5

$\frac{1}{6}$x = 5

x = 30

Answer: $30