Question

two types of box a,b are to be placed in a truck having capacity of 10 tons when 150 boxes of type A and 10p boxes of type B are loaded in the trucks it weighs 10 tons. But when 260 boxes of type A loaded in the trucks it is still accommodate 40 box of type B so that is fully loaded find the weight of each type of box ​

Answer 1

Hi , sisu

$\: \:$

Let us assume ,

weight of each type A box = x tons

weight of each type B box = y tons

according to the problem given ,

150 boxes of typeA and 100 boxes of type B

boxes Weighs 10 tons

15x + 100y = 10

15x + 10y = 1 ----( 1 )

260 boxes of type A and 40 boxed of type B

boxes Weighs = 10 tons

260x + 40y = 10

26x + 4y = 1 ---( 2 )

multiply equation ( 1 ) with 2 and equation

( 2 ) with 5 , we get

30x + 20y = 2 ----( 3 )

130x + 20y = 5 ----( 4 )

subtract equation ( 3 ) from equation ( 4 ),

we get

100x = 3

x = 3/100 tons

put x value in equation ( 3 ) we get ,

y = 11/200 tons

Therefore ,

weight of each type A box = x

x = 3/100 tons

x = ( 3/100 ) × 1000 kg

x = 30 kg

weight of each type B box = y

y =[11/200 ] tons

y = ( 11/200 ) × 1000 kg

y = 55 kg