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?
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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: \[ \text{Weight of each cookie} = \frac{500 \text{ grams}}{4 \times 10} = \frac{500}{40} = 12.5 \text{ grams} \]