Question

A los odio bricks is twice as heavy as a los odio sticks.The total weight of 4 loads of bricks and 4 loads of sticks is 771 kilograms. What is the total weight of 1 load of bricks and 3 loads of sticks

Answer 1

The total weight of 1 load of bricks and 3 loads of sticks is 321.25 kg.

Explanation:

Let load of bricks be x

Let load of sticks be y

Load of bricks is twice heavy as load of sticks.

Hence we can say that;

`x=2y`

Also given:

The total weight of 4 loads of bricks and 4 loads of sticks is 771 kilograms

Hence;

`4x+4y =771\\`

Now Substituting value of
`x=2y` in above equation we get;

`4(2y)+4y=771\\8y+4y=771\\12y =771\\y=(771)/(12) = 64.25 \ kg`

Hence Load of 1 Sticks is 64.25 kg

Now we will substitute value of y in equation
`x=2y` we get;

`x= 2 * 64.25 = 128.5 \ kg`

Hence load of 1 bricks is 128.5 kg

Now we need to find the total weight of 1 load of brick and 3 load of stick

Total weight =
`x+3y = 128.5 +3*64.25 =128.5 + 192.75 = 321.25\ kg`

Hence the total weight of 1 load of bricks and 3 loads of sticks is 321.25 kg.