Question

Tobys office had already recycled 7 kilograms this year before starting the new recycling plan, and the new plan will have the office recycling 1 kilogram of paper each week. How many weeks will it take Tobys office to recycle a total of 39 kilograms of paper?

Answer 1

Answer:

32 weeks.

Step-by-step explanation:

Let w represent number of weeks.

We have been given that the new plan will have the office recycling 1 kilogram of paper each week. So kilograms of paper recycled in w weeks would be $1\cdot w=w$.

We are also told that Toby's office had already recycled 7 kilograms. So total kilogram of paper recycled in w weeks would be $w+7$.

Since Toby's office has to recycle a total of 39 kilograms of paper, so we will equate 39 with paper recycled in w weeks as:

$w+7=39$

$w+7-7=39-7$

$w=32$

Therefore, it will take 32 weeks for Toby's office to recycle a total of 39 kilograms of paper.