Question

Two types of boxes a,b are to be placed ina truck having capacity of 10 tons. When 150 boxed of type a and 100 boxes of type a are loaded in the truck it can still accomodate 40 boxes of type b so that it is fully loaded . Find the weight ofeach typr of boxes

Answer 1

HEY DEAR ... ✌

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Let the weight of box 'a' = x kg 
And the weight of box 'b' = y kg 

A/C to question,
150 boxes of type 'a' and 100 boxes of type 'b' are loaded in the truck and it weighs 10tons. 
∴ 150x + 100y = 10 × 1000 [ ∵1 tone = 1000 Kg ] 
⇒150x + 100y = 10000
⇒3x + 2y = 200 -------(1)

Again, A/C to question, 260 boxes of type 'a' and 40 boxes of type 'b' are loaded and it weighs completely 10tons.
∴ 260x + 40y = 10000
⇒13x + 2y = 500 --------(2)

Solve equations (1) and (2), 
Subtracting equation (1) from equation (2) 
(13x + 2y) - (3x + 2y) = 500 - 200
⇒10x = 300 
⇒x = 30 , put it in equation (1) 
2y = 200 - 3 × 30 = 200 - 90 = 110
⇒y = 55

Hence , weight of box 'a' = 30 Kg
weight of box 'b' = 55Kg

HOPE , IT HELPS ... ✌