Respuesta :
A container has 17 and 1/2 cups of lemonade.
Asher gives each of his classmates 5/6 of a cup.
He gives away all of the lemonade.
Solution:
There are 17.5 cups of lemonade.
Each classmate receives 5/6 of a cup.
So the number of classmates = Number of cups ÷ proportion of a cup each student receives
Number of classmates = 17.5 ÷ 5/6 = 21 classmates
There are 21 classmates.
Answer:
21 classmates.
Step-by-step explanation:
We have been given that a container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup.
To find the number of classmates that will get lemonade, we will divide total amount of lemonade by amount given to each classmate.
[tex]\text{Classmates that will get lemonade}=17\frac{1}{2}\div\frac{5}{6}[/tex]
Convert mixed fraction into improper fraction:
[tex]17\frac{1}{2}\Rightarrow=\frac{17\times 2+1}{2}=\frac{34+1}{2}=\frac{35}{2}[/tex]
[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\div\frac{5}{6}[/tex]
Convert into multiplication problem by flipping the 2nd fraction:
[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\times\frac{6}{5}[/tex]
[tex]\text{Classmates that will get lemonade}=\frac{7}{1}\times\frac{3}{1}[/tex]
[tex]\text{Classmates that will get lemonade}=7\times3[/tex]
[tex]\text{Classmates that will get lemonade}=21[/tex]
Therefore, Asher gave lemonade to 21 classmates.
