Question

Alice spent 5/11 of her money on a backpack. She had $42 left. How much was her backpack?

Answer 1

The answer is 68 because I done this before and got it correct.

Answer 2

Alright, lets get started.

Suppose Alice has total money = x

Alice spent
`(5)/(11)` of her money on a backpack.

Means Alice spent money on her bagpack =
`(5)/(11)x`

So, remaining money she had =
`x - (5)/(11) x`

Making common denominator

`(11)/(11) x - (5)/(11) x`

`(6)/(11) x`

As per given question, she had $ 42 left means

`(6)/(11) x = 42`

Cross multiplying

`6x = 42*11`

`6x = 462`

`x = 77`

Means total money Alice had = $ 77

She spend
`(5)/(11)` on her bagpack means

`77 * (5)/(11)`

`7*5`

$ 35

Means Alice spent $ 35 on her bagpack. : Answer

Hope it will help :)