John's office recycled a total of 42 kilograms of paper over 3 weeks. After 4 weeks, how many kilograms of paper will John's office have recycled? Assume the relationship is directly proportional.
kilograms
To find the number of kilograms of paper John's office will have recycled after 4 weeks, we can set up a proportion.
Let the number of kilograms of paper John's office will have recycled after 4 weeks be x.
We can set up the following proportion: 42 kg / 3 weeks = x kg / 4 weeks.
Cross-multiplying, we get 3*x = 42*4.
Simplifying, we get 3x = 168.
Dividing both sides by 3, we get x = 56.
Therefore, John's office will have recycled 56 kilograms of paper after 4 weeks.