Dry concrete can be made by mixing sand, gravel and cement in the ratio 1: 2: 3. If you want 1200 mathrm{~kg} of dry concrete, how much of each will you need? Give your answers in kilograms (kg).

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Accepted Answer

Step:1 ：Let x be the multiplier for the ratio. Then, we have: (1x + 2x + 3x = 1200)Step:2 ：Solve for x: (6x = 1200) which gives us (x = 200)Step:3 ：Find the amount of each component: (sand = 1x = 200 kg), (gravel = 2x = 400 kg), and (cement = 3x = 600 kg)Step:4 ：(boxed{To make 1200 kg of dry concrete, you will need 200 kg of sand, 400 kg of gravel, and 600 kg of cement.})

Answer

Step: 1 ：Let x be the multiplier for the ratio. Then, we have: (1x + 2x + 3x = 1200)Step: 2 ：Solve for x: (6x = 1200) which gives us (x = 200)Step: 3 ：Find the amount of each component: (sand = 1x = 200 kg), (gravel = 2x = 400 kg), and (cement = 3x = 600 kg)Step: 4 ：(boxed{To make 1200 kg of dry concrete, you will need 200 kg of sand, 400 kg of gravel, and 600 kg of cement.})

Dry concrete can be made by mixing sand, gravel and cement in the ratio $1: 2: 3$. If you want $1200 \mathrm{~kg}$ of dry concrete, how much of each will you need? Give your answers in kilograms (kg).

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