Question

Last week, a chocolate shop sold 1 5/6 ounces of white chocolate. It sold 3 5/6 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?

Write your answer as a fraction or as a whole or mixed number.

ounces

Answer 1

To find out how much milk chocolate the shop sold, we start with the amount of white chocolate sold, which is \( 1 \frac{5}{6} \) ounces.

First, we convert \( 1 \frac{5}{6} \) to an improper fraction:
\[
1 \frac{5}{6} = \frac{1 \times 6 + 5}{6} = \frac{6 + 5}{6} = \frac{11}{6}
\]

The shop sold \( 3 \frac{5}{6} \) times as much milk chocolate as white chocolate. We also need to convert \( 3 \frac{5}{6} \) to an improper fraction:
\[
3 \frac{5}{6} = \frac{3 \times 6 + 5}{6} = \frac{18 + 5}{6} = \frac{23}{6}
\]

Next, we calculate the amount of milk chocolate sold by multiplying the amount of white chocolate by \( 3 \frac{5}{6} \):
\[
\text{Milk chocolate sold} = \frac{23}{6} \times \frac{11}{6}
\]

We perform the multiplication:
\[
\text{Milk chocolate sold} = \frac{23 \times 11}{6 \times 6} = \frac{253}{36}
\]

To convert \( \frac{253}{36} \) to a mixed number, we divide the numerator by the denominator:
\[
253 \div 36 = 7 \quad \text{(with a remainder of 1)}
\]

This goes as follows:
- \( 36 \times 7 = 252 \)
- \( 253 - 252 = 1 \)

Therefore, we have:
\[
\frac{253}{36} = 7 \frac{1}{36}
\]

Thus, the amount of milk chocolate sold by the shop is:
\[
\boxed{7 \frac{1}{36}} \text{ ounces}
\]