Question
Alonzo made 18 paper bags last week. This was 9/6 of the number paper bags that Ruth made how many paper bags did Ruth make.
Answers
GPT-4o mini
Let \( x \) be the number of paper bags that Ruth made. According to the problem, Alonzo made 18 paper bags, which is expressed as \( \frac{9}{6} \) of what Ruth made. Therefore, we can formulate the equation:
\[
18 = \frac{9}{6} x
\]
To eliminate the fraction, we can multiply both sides of the equation by \( \frac{6}{9} \):
\[
x = 18 \cdot \frac{6}{9}
\]
Calculating \( \frac{6}{9} \) gives us \( \frac{2}{3} \). So we have:
\[
x = 18 \cdot \frac{2}{3}
\]
Now, performing the multiplication:
\[
x = 12
\]
Thus, Ruth made \(\boxed{12}\) paper bags.
\[
18 = \frac{9}{6} x
\]
To eliminate the fraction, we can multiply both sides of the equation by \( \frac{6}{9} \):
\[
x = 18 \cdot \frac{6}{9}
\]
Calculating \( \frac{6}{9} \) gives us \( \frac{2}{3} \). So we have:
\[
x = 18 \cdot \frac{2}{3}
\]
Now, performing the multiplication:
\[
x = 12
\]
Thus, Ruth made \(\boxed{12}\) paper bags.