Answer:
Weight of large box = 18.5 Kg
Weight of small box = 13 Kg
Step-by-step explanation:
Let the weight of large box be X kg
Let the weight of small box be Y kg
So weight of 8 large boxes = 8X
weight of 3 small box be = 3Y
According to question
8 large boxes and 3 small boxes has a total weight of 187
mathematically it can be represented as
8X + 3 Y = 187
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Second condition
weight of 2 large boxes = 2X
weight of 5 small box be = 5Y
According to question
2 large boxes and 5 small boxes has a total weight of 102 kilograms
mathematically it can be represented as
2X + 5Y = 102
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we have two equation
8X + 3 Y = 187 -------------------A
2X + 5Y = 102 -------------------B
multiplying equation B with 4 on both side of equation we have
4*(2X + 5Y) = 4*102
=> 8X + 20Y = 408 -------------------C
Now subtracting equation A and C on both sides we have
8X + 3 Y - (8X + 20Y ) = 187 -408
8X - 8X + 3 Y - 20Y = -221
-17Y = -221
=> Y = -221/-17 = 13
Now substituting value of Y in equation B we have
2X + 5*13 = 102
=> 2X + 65 = 102
=> X = (102-65)/2 = 18.5
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Weight of large box = 18.5 Kg
Weight of small box = 13 Kg
