Question

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

Answer 1

Alright, lets get started.

Suppose Alice has total money = x

Alice spent $\frac{5}{11}$ of her money on a backpack.

Means Alice spent money on her bagpack = $\frac{5}{11}x$

So, remaining money she had = $x - \frac{5}{11} x$

Making common denominator

$\frac{11}{11} x - \frac{5}{11} x$

$\frac{6}{11} x$

As per given question, she had $ 42 left means

$\frac{6}{11} x = 42$

Cross multiplying

$6x = 42*11$

$6x = 462$

$x = 77$

Means total money Alice had = $ 77

She spend $\frac{5}{11}$ on her bagpack means

$77 * \frac{5}{11}$

$7*5$

$ 35

Means Alice spent $ 35 on her bagpack. : Answer

Hope it will help :)

Answer 2

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