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According to the food label on a box cookies, each boxhas servings and each serving contains 4 cookies. The weight of th box of cookies is \( \frac{1}{2} \) kilograms. What is the weight of each cookie?

Ask by Hill Allan. in the United States
Jan 25,2025

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Answer

Each cookie weighs 12.5 grams.

Solution

It appears there might be a missing detail in your question regarding the number of servings per box. However, I'll proceed by making a common assumption to provide a clear solution. Let's assume that each box contains **10 servings**. Here's how you can calculate the weight of each cookie: 1. **Total Weight of the Box:** \[ \text{Total weight} = \frac{1}{2} \text{ kilograms} = 500 \text{ grams} \] 2. **Number of Cookies in the Box:** - **Servings per Box:** 10 servings - **Cookies per Serving:** 4 cookies \[ \text{Total number of cookies} = 10 \text{ servings} \times 4 \text{ cookies/serving} = 40 \text{ cookies} \] 3. **Weight of Each Cookie:** \[ \text{Weight per cookie} = \frac{\text{Total weight}}{\text{Total number of cookies}} = \frac{500 \text{ grams}}{40 \text{ cookies}} = 12.5 \text{ grams per cookie} \] **Conclusion:** Each cookie weighs **12.5 grams**. *If the number of servings per box is different from 10, you can adjust the calculation accordingly by replacing the number of servings in step 2.*

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To find the weight of each cookie, first determine the total number of cookies in the box. If there are \( x \) servings and each serving contains 4 cookies, then the total number of cookies is \( 4x \). Next, you know that the total weight of the box is \( \frac{1}{2} \) kilograms, which is equivalent to 500 grams. To find the weight of each cookie, divide the total weight of the box by the total number of cookies: \[ \text{Weight of each cookie} = \frac{\text{Total weight of box}}{\text{Total number of cookies}} = \frac{500}{4x} \text{ grams} \] So the weight of each cookie will depend on the number of servings \( x \). To get more specific, if you know the number of servings, you can complete the calculation. For example, if \( x = 10 \) servings, the calculation would be: \[ \text{Weight of each cookie} = \frac{500 \text{ grams}}{4 \times 10} = \frac{500}{40} = 12.5 \text{ grams} \]

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