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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, it weights 10 tons. But when 260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each type of box.

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Let the weights of box of type A be x kg and that of box of type B be y kg.

1 ton = 1000 kg 

∴ 10 tons = 10000 kg 

According to the first condition, 

150x + 100y = 10000 

∴ 3x + 2y = 200 …(i) [Dividing both sides by 50] 

According to the second condition, 

260x + 40y = 10000 

∴ 13x + 2y = 500 …(ii) [Dividing both sides by 20] 

Subtracting equation (i) from (ii), we get

Substituting x = 30 in equation (i), we get

∴ The weights of box of type A is 30 kg and that of box of type B is 55 kg.

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