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A jar contains 5-gram bolts and 10-gram bolts. The contents of the jarweigh 2.35 kg. If there are 300 bolts together, how many are there of each kind

Susy003

by Susy003 at September 12, 2010

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Set this up as a system of equations:x = 5 gram bolts,   y = 10 gram bolts   x   +    y   =  300 5x   + 10y =  2.35 kg.*Change 2.35 kg to grams2.35 kg = 2,350 gramsx  +  y  =  3005x  +  10y  = 2,350 gramsx = (-y + 300)now substitute into the second equation5 ( -y + 300 ) + 10y = 2,350 grams-5y + 1500 + 10y = 2,3505y = 2,350 - 15005y = 850y = 850 / 5y = 170 This means there are 170  ten-gram boltsIf you have 300 bolts all together then there must be 130 five-gram bolts.10grams (170)  +  5grams (130) = 2,350 grams

Steve231 Steve231 September 12, 2010

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