Question

kayla has a 20-quart jug of lemonade that she is pouring into cups for her daughter's soccer team practice. If Each cup holds 2 3/4 cups, how many cups can she fill?

Answer 1

Convert quarts into cups so we have a constant unit for the question.

There are 4 cups in a quart. Multiply the amount of quarts by the amount of cups in a quart:

$20 \cdot 4 = 80$

Kayla has a 80-cup jug.

Each cup holds 2 and 3/4 cups. Convert this mixed number into an improper fraction:

$2 \frac{3}{4}$

$2 \cdot 4 = 8$

$8 + 3 = 11$

$2 \frac{3}{4} = \frac{11}{4}$

Divide the amount of cups in the jug by the amount of cups that a cup can hold:

$80 \div \frac{11}{4} = \frac{80}{1} \cdot \frac{4}{11} = \frac{320}{11}$

The jug can fill 320/11 cups.

Simplify this improper fraction by using remainder division:

$320 \div 11 = \boxed{29 \ R1}$

Kayla can fill 29 cups with her 20-quart jug.

Answer 2

Answer: There are 7 cups she can fill.

Step-by-step explanation:

Since we have given that

Number of quart jug of lemonade = 20

Number of quarts each cup holds = $2\dfrac{3}{4}=\dfrac{11}{4}$

We need to find the number of cups she can fill.

Number of cups she can fill is given by

$\dfrac{20}{\dfrac{11}{4}}\\\\=\dfrac{20\times 4}{11}\\\\=\dfrac{80}{11}\\\\=7.27\ cups\\\\\approx 7\ cups$

Hence, there are 7 cups she can fill.