Question

Quinten made 3 1/3 quarts of lemonade. Each cup holds 1/4 of a quart. What is the maximum number of cups Quinten can fill with lemonade?

a) 10 cups
b) 8 cups
c) 12 cups
d) 9 cups

Answer 1

To determine the maximum number of cups that Quinten can fill with his 3 1/3 quarts of lemonade, we convert quarts to cups using the conversion factor of 4 cups per quart. This results in 13 cups.

Step-by-step explanation:

Quinten made 3 1/3 quarts of lemonade and each cup holds 1/4 of a quart. To find out the maximum number of cups Quinten can fill, we need to perform a unit conversion from quarts to cups. Since 1 quart is equal to 4 cups, we will multiply the total quarts by this conversion factor.

First, convert 3 1/3 quarts into an improper fraction:

3 1/3 = (3 × 3 + 1) / 3 = 10/3 quarts

Now, multiply by the conversion factor (4 cups per 1 quart):

10/3 quarts × 4 cups/quart = (10 × 4) / 3 cups = 40/3 cups

Since we cannot have a fraction of a cup, we take the integer part of the result, which is 13 cups. Therefore, Quinten can fill a maximum of 13 cups with lemonade.