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Erin's office had already recycled 1 kilogram 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 Erin's office to recycle a total of 10 kilograms of paper?

Answer :

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Answer:

Erin's office will have recycled a total of 10 kg of paper in 9 weeks.

Step-by-step explanation:

First write out the formula for the total weight of paper recycled, and then solve this equation for time:

AmtRecycled(t) =  1 kg + (1 kg/wk)(t)

In this problem, AmtRecycled(t) = 10 kg, and so the following is true:

    10 kg              = 1 kg + (1 kg/wk)(t)

Then    9 kg = (1 kg/wk)(t)

and so:

   9 kg

------------- = 9 wk

1 kg/wk

Erin's office will have recycled a total of 10 kg of paper in 9 weeks.

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