A box of cereal states that there are 99 calories in a three fourths
3
4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups3 cups of the​ cereal?

To solve this, we'll break the problem down into two parts:

### 1. **Finding the unit rate (calories per cup):**
We know there are 99 calories in a \( \frac{3}{4} \)-cup serving. To find the calories per cup (unit rate), we need to divide the number of calories by \( \frac{3}{4} \) cups.

\[
\text{Calories per cup} = \frac{99 \text{ calories}}{\frac{3}{4} \text{ cups}} = 99 \times \frac{4}{3} = 132 \text{ calories per cup}
\]

### 2. **Finding the calories in 3 cups:**
Now that we know there are 132 calories per cup, we can find the number of calories in 3 cups by multiplying the unit rate by 3:

\[
\text{Calories in 3 cups} = 132 \times 3 = 396 \text{ calories}
\]

### Final answers:
- The unit rate is **132 calories per cup**.
- There are **396 calories in 3 cups** of the cereal.

Would you like more details, or do you have any questions?

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Here are 5 related questions for practice:

1. If there are 150 calories in 1 cup of cereal, how many calories are in 2.5 cups?
2. If a different cereal has 80 calories per \( \frac{1}{2} \)-cup serving, what is the unit rate of calories per cup?
3. How many servings of \( \frac{3}{4} \) cups are there in a 6-cup box of cereal?
4. If you consume 396 calories in 3 cups of cereal, how many calories are in 1.5 cups?
5. If you mix 2 different cereals, one with 99 calories per \( \frac{3}{4} \) cup and another with 110 calories per cup, what would be the combined calorie count of 1 cup of each cereal?

**Tip:** When dividing by a fraction, multiply by its reciprocal.

A box of cereal states that there are 99 calories in a three fourths 3/4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?

Learn how to calculate the unit rate of calories per cup and find the total calories in 3 cups of cereal. This problem involves dividing fractions and calculating ratios. Suitable for students in Grades 6-8.

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