Question

A container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup. He gives away all of the lemonade. How many classmates does Asher give lemonade to? Explain each st e by using first,next and last method

Answer 1

21 classmates.

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.

`\text{Classmates that will get lemonade}=17(1)/(2)/(5)/(6)`

Convert mixed fraction into improper fraction:

`17(1)/(2)\Rightarrow=(17* 2+1)/(2)=(34+1)/(2)=(35)/(2)`

`\text{Classmates that will get lemonade}=(35)/(2)/(5)/(6)`

Convert into multiplication problem by flipping the 2nd fraction:

`\text{Classmates that will get lemonade}=(35)/(2)*(6)/(5)`

`\text{Classmates that will get lemonade}=(7)/(1)*(3)/(1)`

`\text{Classmates that will get lemonade}=7*3`

`\text{Classmates that will get lemonade}=21`

Therefore, Asher gave lemonade to 21 classmates.

Answer 2

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.