Asked by Brianna sapp
Yesterday, Lily's Snack Shack went through 7 bottles of ketchup. If they used 2/3 as much mustard as ketchup, how many bottles of mustard did they go through?
Write your answer as a fraction or as a whole or mixed number.
Write your answer as a fraction or as a whole or mixed number.
Answers
Answered by
GPT-4o mini
Lily's Snack Shack used 7 bottles of ketchup. According to the problem, they used \(\frac{2}{3}\) as much mustard as ketchup.
To find the amount of mustard used, we need to calculate:
\[
\text{Mustard used} = \frac{2}{3} \times \text{Ketchup used} = \frac{2}{3} \times 7
\]
Now, we multiply:
\[
\frac{2}{3} \times 7 = \frac{2 \times 7}{3} = \frac{14}{3}
\]
The fraction \(\frac{14}{3}\) can also be expressed as a mixed number. To convert this fraction:
1. Divide 14 by 3, which equals 4 with a remainder of 2.
2. Therefore, \(\frac{14}{3}\) can be expressed as \(4\) with a remainder of \(\frac{2}{3}\).
Thus, as a mixed number, it is:
\[
4 \frac{2}{3}
\]
In conclusion, Lily's Snack Shack went through \(\frac{14}{3}\) bottles of mustard, which can also be written as:
\[
\boxed{\frac{14}{3}} \text{ or } 4 \frac{2}{3}
\]
To find the amount of mustard used, we need to calculate:
\[
\text{Mustard used} = \frac{2}{3} \times \text{Ketchup used} = \frac{2}{3} \times 7
\]
Now, we multiply:
\[
\frac{2}{3} \times 7 = \frac{2 \times 7}{3} = \frac{14}{3}
\]
The fraction \(\frac{14}{3}\) can also be expressed as a mixed number. To convert this fraction:
1. Divide 14 by 3, which equals 4 with a remainder of 2.
2. Therefore, \(\frac{14}{3}\) can be expressed as \(4\) with a remainder of \(\frac{2}{3}\).
Thus, as a mixed number, it is:
\[
4 \frac{2}{3}
\]
In conclusion, Lily's Snack Shack went through \(\frac{14}{3}\) bottles of mustard, which can also be written as:
\[
\boxed{\frac{14}{3}} \text{ or } 4 \frac{2}{3}
\]