Question

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.Write an equation to represent the relationship between the number of calories, n, and the number of servings of granola, g. If she eats 2.5 servings of granola, how many calories does she eat? Show your thinking.

Answer 1

The ratio of serving of granola to the calories remain same.

Equate the ratio of serving of granola to the number of calories in two cases.

`\begin{gathered} (5)/(1750)=(g)/(n) \\ n=(1750\cdot g)/(5) \\ n=350g \end{gathered}`

Substitute 2.5 for g in the equation to obtain the value of n.

`\begin{gathered} n=350\cdot2.5 \\ =875 \end{gathered}`

So, number of caloreis in 2.5 serving of granola is 875.