A box of cereal states that there are 90 calories in a 3 4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 2 cups of the​ cereal?

Respuesta :

Answer:

Calories per cup = 120 calories

Calories in 2 cups = 240 calories

Step-by-step explanation:

Given that:

Number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving = 90 calories

To find:

Unit rate for calories per cup = ?

Number of calories in 2 cups of cereal = ?

Solution:

Here we are given the number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving.

To find the calories in one cup, we need to divide 90 calories with [tex]\frac{3}{4}[/tex].

So, unit rate for calories per cup can be given as:

[tex]\dfrac{90}{\frac{3}4}\\\Rightarrow \dfrac{90}{3}\times 4\\\Rightarrow \bold{120 \ calories}[/tex]

To find the calories in 2 cups of cereal, we need to multiply the unit rate for calories per cup with 2.

So, calories in 2 cups of cereal = [tex]120 \times 2[/tex] = 240 calories

Therefore, the answer is:

Calories per cup = 120 calories

Calories in 2 cups = 240 calories

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