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the sum of bobs weight and twice peters is 361 pounds. contrariwise, the sum of peters and twice bobs is 362 pounds. how much does each weigh?

majlinda001

by majlinda001 at June 14, 2010

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b + 2p = 3612b + p = 3622 (361-2p) + p = 362722 - 3p = 3623p = 360p = 120b + 240 = 361b = 121Bob weighs 121 lbs, Peter weighs 120 lbs.

yankeekid yankeekid June 14, 2010

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Bob is B and Peter is PB + 2P = 361 and P + 2B = 362therefore we substitute (doesnt matter which one we use) we will use B for times sakeB = 361-2Pso we substitute  the (361-2P) in the other equation for Bso: P + 2(361 - 2p) = 362P +722 - 4p = 362362 = 3PP = 120now substitute P as 120 in the first equation to find BB + 2(120) = 361B = 361-240B = 121So, B = 122 and P = 120

Omar112 Omar112 June 14, 2010

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