A box of cereal states that there are 

7575 

calories in a 

three fourths34​-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 need to determine the unit rate of calories per cup and then calculate the calories in 3 cups of cereal.

1. **Find the Unit Rate (Calories per Cup):**

   We know that:
   - \( 7575 \) calories are in a \( \frac{3}{4} \) cup serving.

   To find the calories per 1 cup, we can set up a proportion:
   \[
   \frac{7575 \text{ calories}}{\frac{3}{4} \text{ cup}} = x \text{ calories per cup}
   \]

   Solving for \( x \) by dividing \( 7575 \) by \( \frac{3}{4} \):
   \[
   x = 7575 \div \frac{3}{4} = 7575 \times \frac{4}{3}
   \]
   \[
   x = \frac{7575 \times 4}{3} = \frac{30300}{3} = 10100 \text{ calories per cup}
   \]

   So, the unit rate is **10100 calories per cup**.

2. **Calculate the Calories in 3 Cups:**

   Now that we know there are 10100 calories per cup, we can find the calories in 3 cups:
   \[
   3 \text{ cups} \times 10100 \text{ calories per cup} = 30300 \text{ calories}
   \]

   Therefore, **there are 30300 calories in 3 cups of cereal**.

Would you like a further breakdown or have any questions?

### Related Questions:
1. What if there were 5000 calories in a 1/2-cup serving? What would be the calories per cup?
2. How many calories would be in 1.5 cups of cereal with the same unit rate?
3. What if the box listed 8000 calories per cup? How many calories would be in 3/4 cup?
4. How can we calculate calories per gram if we know the weight of a 3/4 cup serving?
5. What if a different cereal had a unit rate of 8500 calories per cup?

#### Tip:
In unit rate problems, divide by the fraction to "scale up" from a part to a whole unit.

A box of cereal states that there are 7575 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?

Find the unit rate for calories per cup when given 7575 calories in a 3/4-cup serving. Step-by-step, this problem demonstrates calculating calories per cup and how to determine total calories for 3 cups. Ideal for Grades 6-8 learning about ratios and proportions.

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