Subjects algebra

Calories Per Cup

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1. **State the problem:** We are given that a 3/4-cup serving of cereal contains 90 calories. We need to find the unit rate of calories per cup and then find how many calories are in 2 cups. 2. **Find the unit rate (calories per cup):** The unit rate is calories divided by cups. We use the formula: $$\text{Unit rate} = \frac{\text{Calories}}{\text{Cups}}$$ Given 90 calories in $\frac{3}{4}$ cups, the unit rate is: $$\frac{90}{\frac{3}{4}} = 90 \times \frac{4}{3}$$ 3. **Calculate the unit rate:** $$90 \times \frac{4}{3} = \frac{90 \times 4}{3} = \frac{360}{3} = 120$$ So, the unit rate is 120 calories per cup. 4. **Find calories in 2 cups:** Multiply the unit rate by 2: $$120 \times 2 = 240$$ 5. **Final answers:** - Unit rate: 120 calories per cup - Calories in 2 cups: 240 calories