Question

Maddie's office recycled a total of 12 kilograms of paper over 4 weeks. How many weeks will it take Maddie's office to recycle a total of 15 kilograms of paper? Assume the relationship is directly proportional.

Answer 1

It will take Maddie's office 5 weeks to recycle a total of 15 kilograms of paper.

Step-by-step explanation:

To find the number of weeks it will take Maddie's office to recycle 15 kilograms of paper, we can set up a proportion based on the given information. Since the relationship is directly proportional, we can say that 12 kilograms of paper is equivalent to 4 weeks. Let's set up the proportion:

12 kilograms / 4 weeks = 15 kilograms / x weeks

Cross multiplying, we get:

12x = 4 * 15

Simplifying, we find:

12x = 60

Dividing both sides by 12, we get:

x = 60 / 12

x = 5

Therefore, it will take Maddie's office 5 weeks to recycle a total of 15 kilograms of paper.