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We are given that there are 96 calories in a \( \frac{3}{4} \)-cup serving, and we need to find two things:

1. The unit rate of calories per cup.
2. The number of calories in 3 cups of cereal.

### Step 1: Find the unit rate (calories per cup)
The given information is that 96 calories are present in \( \frac{3}{4} \) of a cup. To find the calories per cup, we divide the total calories by the fraction of the cup:

\[
\text{Calories per cup} = \frac{96}{\frac{3}{4}} = 96 \times \frac{4}{3} = \frac{384}{3} = 128
\]

Thus, the unit rate is **128 calories per cup**.

### Step 2: Find the calories in 3 cups
Now that we know there are 128 calories in one cup, we can simply multiply this by 3 to find the calories in 3 cups:

\[
\text{Calories in 3 cups} = 128 \times 3 = 384
\]

So, there are **384 calories** in 3 cups of the cereal.

Would you like more details or have any questions?

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Here are 5 related questions to explore further:
1. How would you calculate the calories in half a cup of the cereal?
2. If the serving size was \( \frac{2}{3} \)-cup instead of \( \frac{3}{4} \)-cup, how would the unit rate change?
3. How many cups of cereal contain 256 calories?
4. If you ate \( 1 \frac{1}{2} \) cups of the cereal, how many calories would that be?
5. How does the number of calories scale with different cup measurements?

**Tip:** When dividing by a fraction, remember that it's the same as multiplying by the reciprocal of the fraction.

A box of cereal states that there are 96 calories in a 3/4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?

Calculate the unit rate for calories per cup based on a cereal box stating 96 calories in a 3/4-cup serving. Learn how to find calories per cup and total calories in 3 cups, involving fraction division and multiplication.

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