Answer:
8/27 cups
Step-by-step explanation:
Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:
If 9/4 cups of trail mix need 2/3 cups of peanuts, 1 cup of trail mix need X cups of peanuts:
9/4 cups of trail mix -> 2/3 cups of peanuts
1 cup of trail mix -> X cups of peanuts
9/4 / 1 = 2/3 / X
9/4 = 2/(3*X)
3*X*9 = 4*2
27*X = 8
X = 8/27 cups