Question

Maura and Stacy are collecting clothes for a clothing drive. Stacy collected 1/2 as many clothes as Maura did. If Maura collected 2 1/5 bags of clothes, how many bags of clothes did Stacy collect?

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

1 answer

To find out how many bags of clothes Stacy collected, we first need to determine how many bags Maura collected.

Maura collected \( 2 \frac{1}{5} \) bags of clothes. We can convert this mixed number into an improper fraction:

\[ 2 \frac{1}{5} = 2 + \frac{1}{5} = \frac{10}{5} + \frac{1}{5} = \frac{11}{5} \]

Now that we know Maura collected \( \frac{11}{5} \) bags of clothes, we can calculate how many bags Stacy collected. We know that Stacy collected \( \frac{1}{2} \) as many clothes as Maura did.

To calculate how many bags Stacy collected, we multiply Maura's amount by \( \frac{1}{2} \):

\[ \text{Stacy's bags} = \frac{1}{2} \times \frac{11}{5} = \frac{11}{10} \]

Now, we can express \( \frac{11}{10} \) as a mixed number:

\[ \frac{11}{10} = 1 \frac{1}{10} \]

Therefore, Stacy collected \( 1 \frac{1}{10} \) bags of clothes.

In summary, Stacy collected \(\boxed{1 \frac{1}{10}}\) bags of clothes.