Question

Carol has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies that Carl can make with the yogurt?

Answer 1

Answer: The answer is 4.

Step-by-step explanation: Given that -

The number of cups of yogurt that Carol has to make smoothies is given by

`c_y=1(5)/(8)=(13)/(8),`

and the number of cups of yogurt that each smoothies uses is given by

`c_s=(1)/(3).`

Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have

`n* c_s\leq c_y\\\\\\\Rightarrow n* (1)/(3)\leq (13)/(8)\\\\\\\Rightarrow n\leq(39)/(8)\\\\\\\Rightarrow n\leq 4(7)/(8)\\\\\\\Rightarrow n=4.`

Thus, the maximum number of smoothies is 4.