Question

A child is playing games with empty soda cups. There are three sizes: small, medium, and large. After some experimentation

she discovered she was able to measure out 160 ounces in the following ways:
1) 2 small, 2 medium, 4 large
2) 2 small, 6 medium, 1 large
3) 5 small, 1 medium, 3 large
Determine the size of the cups.​

Answer 1

The small cup has a capacity of 20 ounces, the medium cup has a capacity of 10 ounces, and the large cup has a capacity of 30 ounces.

Step-by-step explanation:

The child is playing games with empty soda cups of three different sizes: small, medium, and large. To determine the sizes of the cups, we need to solve the given equations:

2 small + 2 medium + 4 large = 160 ounces

2 small + 6 medium + 1 large = 160 ounces

5 small + 1 medium + 3 large = 160 ounces

Simplifying each equation, we find that:

The small cup has a capacity of 20 ounces, the medium cup has a capacity of 10 ounces, and the large cup has a capacity of 30 ounces.