A box of cereal states that there are 87 calories in a three fourths
​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 4 cups of the​ cereal?

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

### 1. **Finding the unit rate (calories per cup):**

The box of cereal provides 87 calories for \( \frac{3}{4} \) of a cup. To find the calories per full cup (the unit rate), we set up a proportion:

\[
\text{Calories per cup} = \frac{87 \text{ calories}}{\frac{3}{4} \text{ cups}}
\]

To simplify, divide 87 by \( \frac{3}{4} \), which is equivalent to multiplying 87 by the reciprocal of \( \frac{3}{4} \) (which is \( \frac{4}{3} \)):

\[
\text{Calories per cup} = 87 \times \frac{4}{3} = \frac{348}{3} = 116 \text{ calories per cup}
\]

### 2. **Calculating the number of calories in 4 cups:**

Now that we know the unit rate (116 calories per cup), we can calculate the calories in 4 cups:

\[
\text{Calories in 4 cups} = 116 \times 4 = 464 \text{ calories}
\]

### Final answers:
- The unit rate is **116 calories per cup**.
- There are **464 calories in 4 cups** of the cereal.

Do you need more details on any part of the solution?

Here are 5 related questions:
1. How would you calculate calories for \( \frac{1}{2} \) cup?
2. If you ate 2 cups, how many calories would you consume?
3. What would the unit rate be if 3 cups had 290 calories?
4. If the cereal serving size changes, how does that affect the unit rate?
5. How can you express this problem using ratios?

**Tip:** When dividing by a fraction, multiply by its reciprocal to simplify the calculation.

A box of cereal states that there are 87 calories in a three-fourths cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?

Learn how to calculate the unit rate for calories per cup of cereal from a 3/4-cup serving size. This step-by-step solution shows how to find the number of calories in one cup and in 4 cups using proportional reasoning. Suitable for students in Grades 6-8.

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