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 = $8\dfrac{1}{4}$ cups

Yogurt required for each smoothie = $\dfrac{11}{16}$ cup

To find:

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

Solution:

We know that,

$\text{Number of smoothies}=\dfrac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}$

Substituting the given values, we get

$\text{Number of smoothies}=\dfrac{8\dfrac{1}{4}}{\dfrac{11}{16}}$

$\text{Number of smoothies}=8\dfrac{1}{4}\times \dfrac{16}{11}$

$\text{Number of smoothies}=\dfrac{32+1}{4}\times \dfrac{16}{11}$

$\text{Number of smoothies}=\dfrac{33}{4}\times \dfrac{16}{11}$

$\text{Number of smoothies}=3\times 4$

$\text{Number of smoothies}=12$

Therefore, the number of smoothies is 12.