Question

Spencer made strawberry jam and raspberry jam. He made enough strawberry jam to fill 2 jars. If he made 4 1/3 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?

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

jars

Answer 1

First, we need to determine how much strawberry jam Spencer made. He filled 2 jars with strawberry jam.

Next, we calculate how much raspberry jam he made. Since he made \(4 \frac{1}{3}\) times as much raspberry jam as strawberry jam, we first convert \(4 \frac{1}{3}\) to an improper fraction.

To convert \(4 \frac{1}{3}\):
\[
4 \frac{1}{3} = \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3}
\]

Now, we calculate the amount of raspberry jam:
\[
\text{Amount of raspberry jam} = \frac{13}{3} \times 2 \text{ jars} = \frac{13 \times 2}{3} = \frac{26}{3} \text{ jars}
\]

Finally, we need to express \(\frac{26}{3}\) as a mixed number. To convert \(\frac{26}{3}\) to a mixed number:

1. Divide \(26\) by \(3\):
- \(26 \div 3 = 8\) with a remainder of \(2\).
2. Thus, we have:
- \(8\) whole parts and a remainder of \(2\).

Combining this, we get:
\[
\frac{26}{3} = 8 \frac{2}{3}
\]

Thus, the raspberry jam will fill:
\[
\boxed{8 \frac{2}{3}} \text{ jars.}
\]