Question

Angelo and Jimmy went shopping. Angelo has a dollars m. He spent 1/3 of that money on new jeans. Jimmy had j dollars in his wallet. He spent 1/2 of that money to n a new jacket. Jimmy had more money than Angelo. What's an expression that shows the difference between amounts of meant each not had left.

Answer 1

`(1)/(2)j-(2)/(3)m`

Explanation:

-Angelo spent a third of her money on a new jeans. Her balance is thus:

`B_a=m-(1)/(3)m\\\\=(2)/(3)m`

-Jimmy spent half of her amount on a new jacket. His balance is therefore calculated as:

`B_j=j-(1)/(2)j\\\\=(1)/(2)j`

Given that
`j>m`, the difference between the amounts left is expressed as:

`j>m\\\\(1)/(2)j-(2)/(3)m`

Hence, the difference between the amounts left is expressed as
`(1)/(2)j-(2)/(3)m`