Question

Paisley has 8\tfrac{1}{4}8 4 1 ​ cups of yogurt to make smoothies. Each smoothie uses \tfrac{11}{16} 16 11 ​ cup of yogurt. How many smoothies can Paisley make with the yogurt?

Answer 1

Given:

Total Yogurt =
`8(1)/(4)` cups

Yogurt required for each smoothie =
`(11)/(16)` cup

To find:

The number of smoothies that Paisley can make with the yogurt.

Solution:

We know that,

`\text{Number of smoothies}=\frac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}`

Substituting the given values, we get

`\text{Number of smoothies}=(8(1)/(4))/((11)/(16))`

`\text{Number of smoothies}=8(1)/(4)* (16)/(11)`

`\text{Number of smoothies}=(32+1)/(4)* (16)/(11)`

`\text{Number of smoothies}=(33)/(4)* (16)/(11)`

`\text{Number of smoothies}=3* 4`

`\text{Number of smoothies}=12`

Therefore, the number of smoothies is 12.