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Malia's office recycled a total of 36 kilograms of paper over 12 weeks. How many weeks will it take Malia's office to recycle a total of 84 kilograms of paper? Solve using unit rates.

Question

Malia's office recycled a total of 36 kilograms of paper over 12 weeks. How many weeks will it take Malia's office to recycle a total of 84 kilograms of paper? Solve using unit rates.

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Solution

Step 1: First, we need to find out how much paper is recycled in one week. We do this by dividing the total amount of paper recycled by the total number of weeks. In this case, that's 36 kilograms divided by 12 weeks, which equals 3 kilograms per week.

Step 2: Next, we need to find out how many weeks it will take to recycle 84 kilograms of paper. We do this by dividing the total amount of paper to be recycled by the amount of paper that can be recycled in one week. In this case, that's 84 kilograms divided by 3 kilograms per week, which equals 28 weeks.

So, it will take Malia's office 28 weeks to recycle a total of 84 kilograms of paper.

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