Rachel's chocolate bar is 47% cocoa. If the weight of the chocolate bar is 81 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Answer 1

To find out how many grams of cocoa are in Rachel's chocolate bar, you can use the percentage of cocoa and the total weight of the chocolate bar.

1. Calculate the amount of cocoa: \[ \text{Cocoa content} = \text{total weight} \times \left(\frac{\text{percentage of cocoa}}{100}\right) \] In this case, the total weight of the chocolate bar is 81 grams and the percentage of cocoa is 47%.

2. Plug in the values: \[ \text{Cocoa content} = 81 \times \left(\frac{47}{100}\right) \] \[ \text{Cocoa content} = 81 \times 0.47 \]

3. Perform the calculation: \[ \text{Cocoa content} = 38.07 \]

4. Round to the nearest tenth: \[ \text{Cocoa content} \approx 38.1 \text{ grams} \]

Therefore, the chocolate bar contains approximately 38.1 grams of cocoa.