Question
Elizabeth's Restaurant bought 5 pounds of onions. The restaurant bought 4 5/6 times as much potatoes as onions. How many pounds of potatoes did the restaurant buy?
Write your answer as a fraction or as a whole or mixed number.
pounds
Write your answer as a fraction or as a whole or mixed number.
pounds
Answers
GPT-4o mini
To find out how many pounds of potatoes the restaurant bought, we start with the amount of onions purchased, which is 5 pounds. The restaurant bought \( 4 \frac{5}{6} \) times as much potatoes as onions.
First, we need to convert \( 4 \frac{5}{6} \) into an improper fraction:
\[
4 \frac{5}{6} = 4 + \frac{5}{6} = \frac{4 \times 6}{6} + \frac{5}{6} = \frac{24}{6} + \frac{5}{6} = \frac{24 + 5}{6} = \frac{29}{6}
\]
Next, we multiply this value by the weight of the onions:
\[
\text{Pounds of potatoes} = 5 \times \frac{29}{6}
\]
To perform the multiplication, we convert the whole number 5 to a fraction:
\[
5 = \frac{5}{1}
\]
Now we can multiply:
\[
\frac{5}{1} \times \frac{29}{6} = \frac{5 \times 29}{1 \times 6} = \frac{145}{6}
\]
Now, we can convert \( \frac{145}{6} \) into a mixed number. We divide 145 by 6:
145 divided by 6 equals 24 with a remainder of 1, so:
\[
\frac{145}{6} = 24 \frac{1}{6}
\]
Thus, the restaurant bought
\[
\boxed{24 \frac{1}{6}} \text{ pounds of potatoes.}
\]
First, we need to convert \( 4 \frac{5}{6} \) into an improper fraction:
\[
4 \frac{5}{6} = 4 + \frac{5}{6} = \frac{4 \times 6}{6} + \frac{5}{6} = \frac{24}{6} + \frac{5}{6} = \frac{24 + 5}{6} = \frac{29}{6}
\]
Next, we multiply this value by the weight of the onions:
\[
\text{Pounds of potatoes} = 5 \times \frac{29}{6}
\]
To perform the multiplication, we convert the whole number 5 to a fraction:
\[
5 = \frac{5}{1}
\]
Now we can multiply:
\[
\frac{5}{1} \times \frac{29}{6} = \frac{5 \times 29}{1 \times 6} = \frac{145}{6}
\]
Now, we can convert \( \frac{145}{6} \) into a mixed number. We divide 145 by 6:
145 divided by 6 equals 24 with a remainder of 1, so:
\[
\frac{145}{6} = 24 \frac{1}{6}
\]
Thus, the restaurant bought
\[
\boxed{24 \frac{1}{6}} \text{ pounds of potatoes.}
\]