Given:
Total Yogurt = [tex]8\dfrac{1}{4}[/tex] cups
Yogurt required for each smoothie = [tex]\dfrac{11}{16}[/tex] cup
To find:
The number of smoothies that Paisley can make with the yogurt.
Solution:
We know that,
[tex]\text{Number of smoothies}=\dfrac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}[/tex]
Substituting the given values, we get
[tex]\text{Number of smoothies}=\dfrac{8\dfrac{1}{4}}{\dfrac{11}{16}}[/tex]
[tex]\text{Number of smoothies}=8\dfrac{1}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=\dfrac{32+1}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=\dfrac{33}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=3\times 4[/tex]
[tex]\text{Number of smoothies}=12[/tex]
Therefore, the number of smoothies is 12.
