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:
[tex]20 \cdot 4 = 80[/tex]
Kayla has a 80-cup jug.
Each cup holds 2 and 3/4 cups. Convert this mixed number into an improper fraction:
[tex]2 \frac{3}{4}[/tex]
[tex]2 \cdot 4 = 8[/tex]
[tex]8 + 3 = 11[/tex]
[tex]2 \frac{3}{4} = \frac{11}{4}[/tex]
Divide the amount of cups in the jug by the amount of cups that a cup can hold:
[tex]80 \div \frac{11}{4} = \frac{80}{1} \cdot \frac{4}{11} = \frac{320}{11}[/tex]
The jug can fill 320/11 cups.
Simplify this improper fraction by using remainder division:
[tex]320 \div 11 = \boxed{29 \ R1}[/tex]
Kayla can fill 29 cups with her 20-quart jug.
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 = [tex]2\dfrac{3}{4}=\dfrac{11}{4}[/tex]
We need to find the number of cups she can fill.
Number of cups she can fill is given by
[tex]\dfrac{20}{\dfrac{11}{4}}\\\\=\dfrac{20\times 4}{11}\\\\=\dfrac{80}{11}\\\\=7.27\ cups\\\\\approx 7\ cups[/tex]
Hence, there are 7 cups she can fill.
