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 completely fill with lemonade?

A) 10
B) 12
C) 13
D) 15

Answer 1

(1/4)c = 10/3

c = 40/3 = 13 1/3 cups

The correct answer is C.

Answer 2

To determine the maximum number of cups Quinten can fill with 3 1/3 quarts of lemonade, when each cup holds 1/4 quart, first convert 3 1/3 quarts to cups. Since 1 quart equals 4 cups, 3 1/3 quarts is equivalent to 13.333... cups, meaning Quinten can completely fill 13 cups.

Step-by-step explanation:

The question asks for the maximum number of cups Quinten can completely fill with 3 1/3 quarts of lemonade, given that each cup holds 1/4 of a quart. To find the answer, we convert the amount of lemonade Quinten made to cups by using the conversion between quarts and cups.

First, convert 3 1/3 quarts to a pure decimal form:

• 3 1/3 quarts = 3 + 1/3 quarts
• 3 1/3 quarts = 3 + (1÷4) quarts
• 3 1/3 quarts = 3 + 0.333... quarts
• 3 1/3 quarts = 3.333... quarts

Next, we calculate the number of cups:

• Since 1 quart = 4 cups, then 3.333... quarts = 3.333... × 4 cups
• 3.333... quarts = 13.333... cups

Quinten can only completely fill a whole number of cups, so he can fill a maximum of 13 cups with his lemonade.

The correct answer is C) 13.