Question

A box of cashews, peanuts, and almonds contains 144 nuts. For every 2 cashews, there are 3 peanuts and 7 almonds. How many more peanuts are there than cashews?

Answer 1

4x + 3x + 5x= 156

12x= 156

x= 13

4x = 4 times 13= 52 Cashews

3x= 3 times 13= 39 Peanuts

52-32= 13

Answer 2

To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...

Total nuts=144

The ratio of cashews to peanuts to almonds can be shown as:

cashews:peanuts:almonds
2:3:7

Now lets add up the numbers in the ratio.

2+3+7=12

So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds. 

Now lets divide the total number of nuts (144) by the sum of the ratio (12).

144/12=12

Now we can solve for the number of every type of nut in the bag... 

Cashews=12*2=24nuts

Peanuts=12*3=36nuts

Almonds=12*7=84nuts

Now we can answer the problem:

Peanuts-cashews=
36-24=12 nuts

Answer: There are 12 more peanuts than cashews.