While painting, Sam notices that 1/2 cup of paint covers 1/3 of a sign. What is the amount of paint needed to cover the entire sign?

A: 2/3 cup

B: 5/6 cup

C: 1 cup

D: 3/2 cups

To answer, determine the amount of paint that is needed in order to cover the whole of the sign. If we use the ratio and proportion and letting x be the unknown amount. The equation would be,

1/2 / 1/3 = x / 1

The value of x from the equation is equal to 1.5. Thus, the answer is letter D. 3/2 cups.