Question

Tim's office recycled a total of 54 kilograms of paper over 18 weeks. How many weeks will it take Tim's office to recycle a total of 69 kilograms of paper? Solve using unit rates.

a) 21 weeks
b) 24 weeks
c) 27 weeks
d) 30 weeks

Answer 1

It will take Tim's office 23 weeks to recycle a total of 69 kilograms of paper.

Step-by-step explanation:

To solve this problem, we can set up a proportion to find the unit rate for recycling paper. We know that Tim's office recycled a total of 54 kilograms over 18 weeks. So, the unit rate is 54 kilograms/18 weeks, which simplifies to 3 kilograms/week.

To find out how many weeks it will take to recycle 69 kilograms, we can set up another proportion: 3 kilograms/week = 69 kilograms/x weeks. Cross-multiplying and solving for x gives x = 69/3, which is equal to 23.

Therefore, it will take Tim's office 23 weeks to recycle a total of 69 kilograms of paper.