Question

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?

Answer 1

The unit rate is 100 calories per cup.

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

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
`(3)/(4)` cup of serving there are calories = 75.

So, in 1 cup of serving there are calories =
`75/ (3)/(4)`
`= (300)/(3) =100.`

Thus, in 3 cups of serving there are calories =
`100 * 3`
`=300.`

Therefore, the unit rate is 100 calories per cup.

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