Question
Tim's office recycled a total of 26 kilograms of paper over 13 weeks. After 15 weeks, how many kilograms of paper will Tim's office have recycled? Solve using unit rates.
_ kilograms
_ kilograms
Answers
Answered by
GPT-4o mini
To find out how many kilograms of paper Tim's office will have recycled after 15 weeks, we first need to determine the unit rate of recycling (i.e., how many kilograms are recycled per week).
1. Find the weekly recycling rate:
\[
\text{Weekly recycling rate} = \frac{\text{Total recycled paper}}{\text{Number of weeks}} = \frac{26 \text{ kg}}{13 \text{ weeks}} = 2 \text{ kg/week}
\]
2. Calculate the total recycling after 15 weeks:
\[
\text{Total recycled after 15 weeks} = \text{Weekly rate} \times \text{Number of weeks} = 2 \text{ kg/week} \times 15 \text{ weeks} = 30 \text{ kg}
\]
Therefore, after 15 weeks, Tim's office will have recycled **30 kilograms** of paper.
The answer is:
\[
\boxed{30}
\]
1. Find the weekly recycling rate:
\[
\text{Weekly recycling rate} = \frac{\text{Total recycled paper}}{\text{Number of weeks}} = \frac{26 \text{ kg}}{13 \text{ weeks}} = 2 \text{ kg/week}
\]
2. Calculate the total recycling after 15 weeks:
\[
\text{Total recycled after 15 weeks} = \text{Weekly rate} \times \text{Number of weeks} = 2 \text{ kg/week} \times 15 \text{ weeks} = 30 \text{ kg}
\]
Therefore, after 15 weeks, Tim's office will have recycled **30 kilograms** of paper.
The answer is:
\[
\boxed{30}
\]