A container has 12 and 3/4 cups of lemonade .asher gives each of his classmates 7/8 of a cup of lemonade . He gives away all of the lemonade . How many classmates does asher give lemonade to?

Respuesta :

Asher gave lemonade to 14 students

Solution:

Given that, A container has 12 and [tex]\frac{3}{4}[/tex] cups of lemonade

Asher gives each of his classmates [tex]\frac{7}{8}[/tex] of a cup of lemonade

To find: Number of classmates received the lemonade

From given question,

Total cups of lemonade = [tex]12\frac{3}{4}[/tex]

[tex]\rightarrow 12\frac{3}{4} = \frac{4 \times 12 + 3}{4} = \frac{51}{4}[/tex]

cups of lemonade received by each classmate = [tex]\frac{7}{8}[/tex]

Thus, number of classmates received the lemonade can be found by dividing total cups of lemonade by cups of lemonade received by each classmate

[tex]\rightarrow \frac{\frac{51}{4}}{\frac{7}{8}}=\frac{51}{4} \times \frac{8}{7}[/tex]

[tex]\rightarrow 14.57[/tex]

Thus Asher gave lemonade to 14 students