Question
A strong mortar is made from sand and cement in the ratio of 3:1
How many cement is needed to mix 90kg of sand
How many cement is needed to mix 90kg of sand
Answers
Answered by
GPT-4o mini
To determine the amount of cement needed to mix with 90 kg of sand in a 3:1 ratio (sand to cement), we first need to find the total parts in the ratio.
In a 3:1 ratio:
- Sand = 3 parts
- Cement = 1 part
This gives us a total of \(3 + 1 = 4\) parts.
Now, we can find out how much one part is in terms of weight. Since 90 kg of sand represents the 3 parts:
\[
1 \text{ part} = \frac{90 \text{ kg}}{3} = 30 \text{ kg}
\]
Now, since cement is 1 part, the weight of cement required is:
\[
Cement = 1 \text{ part} = 30 \text{ kg}
\]
Therefore, 30 kg of cement is needed to mix with 90 kg of sand.
In a 3:1 ratio:
- Sand = 3 parts
- Cement = 1 part
This gives us a total of \(3 + 1 = 4\) parts.
Now, we can find out how much one part is in terms of weight. Since 90 kg of sand represents the 3 parts:
\[
1 \text{ part} = \frac{90 \text{ kg}}{3} = 30 \text{ kg}
\]
Now, since cement is 1 part, the weight of cement required is:
\[
Cement = 1 \text{ part} = 30 \text{ kg}
\]
Therefore, 30 kg of cement is needed to mix with 90 kg of sand.
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