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

Answer: There are 7 cups she can fill.

Explanation:

Since we have given that

Number of quart jug of lemonade = 20

Number of quarts each cup holds =
`2(3)/(4)=(11)/(4)`

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

Number of cups she can fill is given by

`(20)/((11)/(4))\\\\=(20* 4)/(11)\\\\=(80)/(11)\\\\=7.27\ cups\\\\\approx 7\ cups`

Hence, there are 7 cups she can fill.

Answer 2

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 (3)/(4)`

`2 \cdot 4 = 8`

`8 + 3 = 11`

`2 (3)/(4) = (11)/(4)`

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

`80 / (11)/(4) = (80)/(1) \cdot (4)/(11) = (320)/(11)`

The jug can fill 320/11 cups.

Simplify this improper fraction by using remainder division:

`320 / 11 = \boxed{29 \ R1}`

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