1 cubic meter of concrete has a wight of 2400 kg. 15% of the concrete is water. The rest of the ingredients are cerment, sand and stone. The weights are in a ratio of 1:2:5. Work out the weight of cement, sand and stone in the 1 cubic meter of concrete
Help me please i have a test coming up

Respuesta :

Answer:

Step-by-step explanation:

2400 × 0.15 = 360

2400 - 360 = 2040

2040 × 1/8 = 255 kg of Cement

2040 × 2/8 = 510 kg of Sand

2040 × 5/8 = 1275 kg of Stone

To check if it is right

255 + 510 + 1275 = 2040 kg

1 cubic meter of concrete the weight of water is 360 Kg, the weight of cement is 255 Kg, the weight of sand is 510 Kg and the weight of stone is 1275 Kg and this can be determine by forming the linear equation in one variable.

Given :

  • 1 cubic meter of concrete has a wight of 2400 kg.
  • 15% of the concrete is water.
  • The rest of the ingredients are cement, sand and stone. The weights are in a ratio of 1:2:5.

The weight of the water in the concrete will be:

[tex]= 2400\times \dfrac{15}{100}[/tex]

= 360 Kg

Let x be the weight in Kg. Then the combine weight of stone, cement and sand will be:

[tex]8x = 2400 - 360[/tex]

8x = 2040

x = 255 Kg

Then the weight of the cement will be = 255 Kg.

The weight of the sand will be = [tex]\rm 255\times 2 = 510\; Kg[/tex].

The weight of the stone will be = [tex]\rm 255\times 5 = 1275\; Kg[/tex].

For more information, refer the link given below:

https://brainly.com/question/21835898