Question

A large cup holds 8 ounces more then a small cup. 2 large cups and 4 small cups hold 64 ounces. How much does a large cup hold?

Answer 1

16 ounces

Explanation:

We know

A large cup holds 8 ounces more than a small cup.

2 large cups and 4 small cups hold 64 ounces.

How much does a large cup hold?

We first have to find the value of the small cup. Let's assume that the capacity of the small cup is x ounces.

We have the equation:

2(x + 8) + 4x = 64

2x + 16 + 4x = 64

6x + 16 = 64

6x = 48

x = 8 ounces

So, the small cup can hold 8 ounces. Now we substitute 8 in for x and find the large cup.

8 + 8 = 16 ounces

So, the large cup can hold 16 ounces.