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 weighs 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.

Question

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 weighs 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.

Filo · Accepted Answer

Let, weight of box A be x and B be y. Now, 150x + 100y = 10×1000 ----(1) And 260x + 40y = 10× 1000  ---(2)  Now , (2) × 10 - (1)      = (2500-150)x =10⁴× 9       38.29 kg      And y = 42.46 kg

Question Text	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 weighs $10$ 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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