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Sophie Ruth is eating a $50$ -gram chocolate bar which contains $30\%$ cocoa. How many grams of cocoa are in the chocolate?

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Percents of numbers: word problems

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Q. Sophie Ruth is eating a

50

-gram chocolate bar which contains

30\%

cocoa. How many grams of cocoa are in the chocolate?

Convert to Decimal: Write $30\%$ as a decimal. $30\% = \frac{30}{100} = 0.30$
Identify Expression for Cocoa: We know: $\newline$ • Total weight of the chocolate bar: $50$ grams $\newline$ • $30\%$ is equivalent to $0.30$ $\newline$ Identify the expression for the amount of cocoa in grams. $\newline$ Percent $\times$ Whole = Part $\newline$ Percent of cocoa $\times$ Total weight of the chocolate bar = Weight of cocoa in grams $\newline$ $0.30 \times 50$ represents the weight of cocoa in grams.
Calculate Weight of Cocoa: We found: Weight of cocoa = $0.30 \times 50$ . Simplify $0.30 \times 50$ . $0.30 \times 50 = 15$ There are $15$ grams of cocoa in the chocolate bar.

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