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

Respuesta :

Answer:

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

Step-by-step 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;

[tex]x=2y[/tex]

Also given:

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

Hence;

[tex]4x+4y =771\\[/tex]

Now Substituting value of [tex]x=2y[/tex] in above equation we get;

[tex]4(2y)+4y=771\\8y+4y=771\\12y =771\\y=\frac{771}{12} = 64.25 \ kg[/tex]

Hence Load of 1 Sticks is 64.25 kg

Now we will substitute value of y in equation [tex]x=2y[/tex] we get;

[tex]x= 2 \times 64.25 = 128.5 \ kg[/tex]

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 = [tex]x+3y = 128.5 +3\times64.25 =128.5 + 192.75 = 321.25\ kg[/tex]

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