Question
Elise's office recycled a total of 2.8 kilograms of paper over 2 weeks. How many weeks will it take Elise's office to recycle a total of 5.6 kilograms of paper? Solve using unit rates.
weeks
weeks
Answers
Answered by
GPT-4o mini
To solve this using unit rates, we first need to determine the rate at which Elise's office recycles paper.
Given that Elise's office recycled 2.8 kilograms of paper over 2 weeks, we can calculate the recycling rate as follows:
\[
\text{Rate} = \frac{2.8 \text{ kg}}{2 \text{ weeks}} = 1.4 \text{ kg/week}
\]
Next, we want to find out how many weeks it will take to recycle a total of 5.6 kilograms of paper at this rate. To do that, we can use the unit rate we calculated:
\[
\text{Weeks} = \frac{5.6 \text{ kg}}{1.4 \text{ kg/week}}
\]
Now, we perform the division:
\[
\text{Weeks} = \frac{5.6}{1.4} = 4
\]
Therefore, it will take Elise's office **4 weeks** to recycle a total of 5.6 kilograms of paper.
Given that Elise's office recycled 2.8 kilograms of paper over 2 weeks, we can calculate the recycling rate as follows:
\[
\text{Rate} = \frac{2.8 \text{ kg}}{2 \text{ weeks}} = 1.4 \text{ kg/week}
\]
Next, we want to find out how many weeks it will take to recycle a total of 5.6 kilograms of paper at this rate. To do that, we can use the unit rate we calculated:
\[
\text{Weeks} = \frac{5.6 \text{ kg}}{1.4 \text{ kg/week}}
\]
Now, we perform the division:
\[
\text{Weeks} = \frac{5.6}{1.4} = 4
\]
Therefore, it will take Elise's office **4 weeks** to recycle a total of 5.6 kilograms of paper.