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.
