Question
A restaurant owner bought 3 1/2 pounds of onions. They also bought 1/2 as many pounds of potatoes as pounds of onions. How many pounds of potatoes did the restaurant owner buy?
Answers
GPT-4o mini
To find out how many pounds of potatoes the restaurant owner bought, we first need to find out how many pounds of potatoes were purchased based on the quantity of onions.
The owner bought \(3 \frac{1}{2}\) pounds of onions. First, we can convert \(3 \frac{1}{2}\) into an improper fraction:
\[
3 \frac{1}{2} = 3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2}
\]
Now, since the owner bought half as many pounds of potatoes as pounds of onions, we need to calculate half of \( \frac{7}{2} \):
\[
\text{Pounds of potatoes} = \frac{1}{2} \times \frac{7}{2} = \frac{7}{4}
\]
Now, we can convert \( \frac{7}{4} \) into a mixed number:
\[
\frac{7}{4} = 1 \frac{3}{4}
\]
Thus, the restaurant owner bought \(1 \frac{3}{4}\) pounds of potatoes.
Therefore, the answer is \(1 \frac{3}{4}\) pounds of potatoes, or equivalently, \(1.75\) pounds if expressed as a decimal.
The owner bought \(3 \frac{1}{2}\) pounds of onions. First, we can convert \(3 \frac{1}{2}\) into an improper fraction:
\[
3 \frac{1}{2} = 3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2}
\]
Now, since the owner bought half as many pounds of potatoes as pounds of onions, we need to calculate half of \( \frac{7}{2} \):
\[
\text{Pounds of potatoes} = \frac{1}{2} \times \frac{7}{2} = \frac{7}{4}
\]
Now, we can convert \( \frac{7}{4} \) into a mixed number:
\[
\frac{7}{4} = 1 \frac{3}{4}
\]
Thus, the restaurant owner bought \(1 \frac{3}{4}\) pounds of potatoes.
Therefore, the answer is \(1 \frac{3}{4}\) pounds of potatoes, or equivalently, \(1.75\) pounds if expressed as a decimal.