Question

Eric has 1 5/9 cups of yogurt to make smoothies.Each smoothie uses 1/3 of a cup of yogurt.What is the maximum number of smoothies that Erica can make with the yogurt

Answer 1

Maximum number of smoothies that Erica can make with the yogurt is 5

Solution:

Given that Eric has
`1(5)/(9)` cups of yogurt to make smoothie

Each smoothie uses
`(1)/(3)` of a cup of yogurt

To find: maximum number of smoothies that Erica can make with the yogurt

Let 'n' be the number of smoothies that Erica can make with the available yogurt

number of smoothies that Erica can make with the yogurt is calculated by divinding the total available cups of yogurt by cups of yogurt needed for one smoothie

Therefore we get:

`$n=\frac{\text { total available cups of yogurt }}{\text { cups of yogurt needed for one smoothie }}$`

total available cups of yogurt =
`1(5)/(9) = (9 * 1 +5)/(9) = (14)/(9)`

cups of yogurt needed for one smoothie =
`(1)/(3)`

Substituting the values in above formula we get,

`\begin{aligned}&n=((14)/(9))/((1)/(3))\\\\&n=(14)/(9) * (3)/(1)=(14)/(3)=4.66 \approx 5\end{aligned}`

Thus maximum number of smoothies that Erica can make with the yogurt is 5