Question

Last week, a chocolate shop sold 9 1/4 ounces of white chocolate. It sold 3 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 many ounces of milk chocolate the shop sold, we first need to calculate how much chocolate it sold in total.

The shop sold \( 9 \frac{1}{4} \) ounces of white chocolate. We can convert this mixed number into an improper fraction for easier calculations.

\[
9 \frac{1}{4} = \frac{9 \times 4 + 1}{4} = \frac{36 + 1}{4} = \frac{37}{4}
\]

Next, since the shop sold 3 times as much milk chocolate as white chocolate, we will multiply the amount of white chocolate by 3:

\[
\text{Milk chocolate sold} = 3 \times \left(\frac{37}{4}\right) = \frac{3 \times 37}{4} = \frac{111}{4}
\]

Now, we can convert \( \frac{111}{4} \) back into a mixed number. We perform the division:

\[
111 \div 4 = 27 \quad \text{(whole number)}
\]
The remainder is:
\[
111 - (4 \times 27) = 111 - 108 = 3
\]
So, we have:
\[
\frac{111}{4} = 27 \frac{3}{4}
\]

Thus, the shop sold

\[
\boxed{27 \frac{3}{4}} \text{ ounces of milk chocolate.}
\]