Alright, lets get started.
Suppose Alice has total money = x
Alice spent [tex] \frac{5}{11} [/tex] of her money on a backpack.
Means Alice spent money on her bagpack = [tex] \frac{5}{11}x [/tex]
So, remaining money she had = [tex] x - \frac{5}{11} x [/tex]
Making common denominator
[tex] \frac{11}{11} x - \frac{5}{11} x [/tex]
[tex] \frac{6}{11} x [/tex]
As per given question, she had $ 42 left means
[tex] \frac{6}{11} x = 42 [/tex]
Cross multiplying
[tex] 6x = 42*11 [/tex]
[tex] 6x = 462 [/tex]
[tex] x = 77 [/tex]
Means total money Alice had = $ 77
She spend [tex] \frac{5}{11} [/tex] on her bagpack means
[tex] 77 * \frac{5}{11} [/tex]
[tex] 7*5 [/tex]
$ 35
Means Alice spent $ 35 on her bagpack. : Answer
Hope it will help :)
