A box of cereal states that there are 75 calories in a three fourths ​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups of the​ cereal?

Respuesta :

Answer:

The unit rate is 100 calories per cup.

And there are 300 calories in 3 cups of the​ cereal.

Step-by-step explanation:

Given:

A box of cereal states that there are 75 calories in a three fourths ​-cup serving.

Now, to find the unit rate for calories per​ cup. And calories in 3 cups of the​ cereal.

So, we use unitary method to get the unit rate and calories in 3 cups of the​ cereal:

In [tex]\frac{3}{4}[/tex] cup of serving there are calories = 75.

So, in 1 cup of serving there are calories = [tex]75\div \frac{3}{4}[/tex] [tex]= \frac{300}{3} =100.[/tex]

Thus, in 3 cups of serving there are calories = [tex]100 \times 3[/tex] [tex]=300.[/tex]

Therefore, the unit rate is 100 calories per cup.

And there are 300 calories in 3 cups of the​ cereal.

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