Question

Rachel had a 21-ounce strawberry shake that has 739 calories. How many calories are there in a32-ounce shake?

Short answer

32-ounce shake will have 1126.09 calories.

Step-by-step solution

Step 1. Given information 

21-ounce strawberry shake has 739-calories.

Step 2. Solution

Let x-calories in a 32-ounce shake.

if a 21-ounce strawberry shake has 739-calories, how many calories will be there in31-ounce shake?

Translate into a proportion.

$\frac{ounce}{calories}=\frac{ounce}{calories}$

$\frac{21}{739}=\frac{32}{x}$

Multiply both sides by LCD, $739x$

$$\begin{gathered} \left(739x\right)\left(\frac{21}{739}\right)=\left(739x\right)\left(\frac{32}{x}\right) \\ 21x=739\times 32 \\ x=\frac{23648}{21} \\ x=1126.09 \end{gathered}$$