Mathematics: Acontainer 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

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Acontainer has 17 1/2 cups of lemonade. asher gives

tahmidtaj150

11.03.2022

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.

$\text{Classmates that will get lemonade}=17\frac{1}{2}\div\frac{5}{6}$

Convert mixed fraction into improper fraction:

$17\frac{1}{2}\Rightarrow=\frac{17\times 2+1}{2}=\frac{34+1}{2}=\frac{35}{2}$

$\text{Classmates that will get lemonade}=\frac{35}{2}\div\frac{5}{6}$

Convert into multiplication problem by flipping the 2nd fraction:

$\text{Classmates that will get lemonade}=\frac{35}{2}\times\frac{6}{5}$

$\text{Classmates that will get lemonade}=\frac{7}{1}\times\frac{3}{1}$

$\text{Classmates that will get lemonade}=7\times3$

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

Therefore, Asher gave lemonade to 21 classmates.

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