Questions: Jose's chocolate bar is 53% cocoa. If the weight of the chocolate bar is 96 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Solution Steps

To find the amount of cocoa in Jose's chocolate bar, we need to calculate 53% of the total weight of the chocolate bar. This can be done by multiplying the weight of the chocolate bar by 0.53 and then rounding the result to the nearest tenth.

The chocolate bar is \(53\%\) cocoa. To find the amount of cocoa in grams, we need to calculate \(53\%\) of the total weight of the chocolate bar.

The total weight of the chocolate bar is \(96\) grams. We calculate the weight of cocoa by multiplying the total weight by the percentage of cocoa: \[ \text{cocoa\_weight} = \left(\frac{53}{100}\right) \times 96 \]

\[ \text{cocoa\_weight} = 0.53 \times 96 = 50.88 \text{ grams} \]

We round \(50.88\) grams to the nearest tenth: \[ \text{cocoa\_weight\_rounded} = 50.9 \text{ grams} \]

Final Answer