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5. Each batch of cupcake mix requires \( \frac{1}{3} \) of a cup of milk. According to the recipe, the batch can make 12 small cupcakes or 8 large cupcakes. If Emma makes a batch of large cupcakes, how much milk is used for each cupcake

Ask by Lambert Griffiths. in the United States
Jan 25,2025

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Answer

Each large cupcake uses \(\frac{1}{24}\) cup of milk.

Solution

To determine how much milk Emma uses for each large cupcake, follow these steps: 1. **Total Milk per Batch:** Each batch requires \(\frac{1}{3}\) of a cup of milk. 2. **Number of Large Cupcakes per Batch:** A batch makes 8 large cupcakes. 3. **Milk Used per Large Cupcake:** To find the milk used for each large cupcake, divide the total milk by the number of large cupcakes: \[ \text{Milk per large cupcake} = \frac{\frac{1}{3} \text{ cup}}{8} = \frac{1}{24} \text{ cup} \] **Answer:** Each large cupcake uses \(\frac{1}{24}\) of a cup of milk.

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The Deep Dive

When Emma makes a batch of large cupcakes, she uses \( \frac{1}{3} \) of a cup of milk for a total of 8 large cupcakes. To find out how much milk is used for each large cupcake, you simply divide the total milk by the number of cupcakes: \[ \frac{1/3 \text{ cup}}{8} = \frac{1}{3} \times \frac{1}{8} = \frac{1}{24} \text{ cup of milk per large cupcake.} \] So, each large cupcake gets \( \frac{1}{24} \) of a cup of milk! Baking is not just about following recipes; it’s also about experimenting! If you're feeling adventurous, try swapping out milk for alternatives like almond milk or coconut milk for a fun twist. You might surprise yourself with a whole new flavor profile! Also, be cautious about overmixing your batter. While it's tempting to mix until smooth, too much mixing can lead to dense cupcakes! Mix until ingredients are just combined for that soft and fluffy texture we all crave. Happy baking!

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