Question

A box of cashews, peanuts, and almonds contains 156 nuts. For every 4 cashews, there are 3 peanuts and 5 almonds. How many more cashews are there than peanuts?
There are _______ more  cashews than peanuts.

Answer 1

So,

4x + 3x + 5x= 156

12x= 156

x= 13

4x = 4 times 13= 52 Cashews

3x= 3 times 13= 39 Peanuts

52-32= 13

Hope this Helps!!!

Answer 2

$4x+3x+5x=156\\ 12x=156\\ x=13\\\\ 4x=4\cdot13=52 \leftarrow \hbox{ cashews}\\ 3x=3\cdot13=39 \leftarrow \hbox{ peanuts}\\\\ 52-39=\boxed{13}$