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Question:

shawn123
shawn123
Student
Community / Jr. College

If there are 270 million Americans,how many tons of aluminum need to be recycled each year if each can weighs 1/16 pound, and one ton = 2000 pounds?

Assume everyone in the united states consumes one soft drink in an aluminum can every two days.

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Posted by shawn123 on Tuesday September 22, 2009 at 8:40 AM and tagged with math, word problem.


Answers:

  1. kjcdb8er
    kjcdb8er Teacher

    eNotes Editor

    There are 365 days in a year. A person drinks a soft dring on 182.5 of those days. So each person contributes 182.5*(1/16) lbs of aluminum to the total, or 11.4 lbs.

    Therefore, 270 million Americans create 11.4*270 million = 3080 million lbs of aluminum each year.

    3080 million lbs * (1 ton / 2000 lbs) = 1.54 million anual tons of aluminum to be recycled.

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    Posted by kjcdb8er on Tuesday September 22, 2009 at 8:58 AM

  2. krishna-agrawala
    krishna-agrawala Teacher
    Graduate School

    eNotes Editor

    We assume there are 365 day in a year.

    Therefore total number of cans of sot drinks consumed by 270 million Americans in one year which needs to be recycled:

    = (Population)*(Number of days in a year/2) = 270,000,000*365/2

    Weight to one cans in pounds is 1/16

    Assuming one ton = 2000 pounds the weight of one can in tons = (1/16)/2000 = 1/32000

    Therefore weight of 270,000,000*265/2 cans = (270,000,000*365/2)*(1/32000) = (270,000*365)/64 = 1539843.75

    Answer: 1539843.75tons of aluminum needs to be recycled every year.

     

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    Posted by krishna-agrawala on Tuesday September 22, 2009 at 9:00 AM

  3. neela
    neela Teacher
    Graduate School

    eNotes Editor

    At the rate of  a soft drink per two days per head the number of soft drink units required for 270 millions a day = 270*10^6/2 = 135*10^6 units.

    At the rate of 1/16 pound per unit , the total aluminium  per day = 135*10^6)(1/16) pounds=8437500 pounds =8437500/2000 tons4218.75 tons

    Therefore, the aluminium required for 365 days or a year=4218.75*365=1539843.75 tons, which is therequired recycling quantity.

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    Posted by neela on Tuesday September 22, 2009 at 9:23 AM