Mike is making a mixture for an upcoming camp trip. He makes the mixture by combining 1/3 of a cup of cashews and 1/4 cups of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?

16 cups of cashews

12 cups of almonds

Step-by-step explanation:

Let's say x is the cups of cashews and y is the cups of almonds.

We can write two equations:

x / y = (1/3) / (1/4) = 4/3

x + y = 28

Solve the system of equations using substitution.

x = 4/3 y

4/3 y + y = 28

7/3 y = 28

y = 12

x = 16