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reduced by 6. Find the traction.(5) Two types of boxes A, B are to be placed in a truck having capacity of 10 tons.When 150 boxes of type A and 100 boxes of type B are loaded in the truck, itweighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can stillaccommodate 40 boxes of type B, so that it is fully loaded. Find the weight of eachtype of box.deme distance hy hns and somn hu anani |
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Answer» let the of weight of each A types box = x and the mass of each B types of box = y according to question, case--(1) 150 boxes of type A and 100 boxes of type B weighs =10 tons => 150x + 100y = 10 => 15x + 10y = 1--------(1) case--(1) 260 boxes of type A and 40 boxes of type B weighs = 10 tons=> 260x + 40y = 10=> 26x + 4y = 1-----(2)from--(1) and--(2)multiply by (2) in--(1) and by (2)in --(2) 30x + 20y = 2130x + 20y = 5(-)____(-)____(-)—————————-100x = -3=> x = 3/100tons [ put in--(1)]we get,15(3/100) + 10y = 1=> 9/20 + 10y = 1=> (9 + 200y)/20 = 1=> 9 + 200y = 20=> 200y = 11=> y = 11/200tonsweight of each A type of box = 3/100 × 1000kg=> 30kgAND,the weight of each B type of box = 11/200 × 1000kg=> 11×5 = 55kg A=33kg B=58kg is the right answer |
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