High School

Len makes some concrete by mixing cement, sand, and gravel in the ratio 1:4:3. If he uses 8 bags of sand, how many bags of cement and gravel will he use?

Answer :

Final answer:

The ratios of cement, sand, and gravel are 1:4:3 respectively. If Len uses 8 bags of sand, he would use 2 bags of cement and 6 bags of gravel to maintain the same ratio.

Explanation:

The subject of this problem is ratios, which are a way of comparing quantities. In this case, Len is making concrete using cement, sand, and gravel in the ratio of 1:4:3. This means that for every 1 bag of cement, he uses 4 bags of sand, and 3 bags of gravel.

If Len uses 8 bags of sand, we can find out how many bags of cement and gravel he would use. Because the sand to cement ratio is 4:1, we would divide the number of sand bags by 4 to find out the number of cement bags. Therefore, Len would use 8 ÷ 4 = 2 bags of cement.

Similarly, because the sand to gravel ratio is 4:3, we would multiply the number of sand bags by 3/4 to find out the number of gravel bags. Therefore, Len would use 8 * (3/4) = 6 bags of gravel.

So, if Len uses 8 bags of sand, he would use 2 bags of cement and 6 bags of gravel to make concrete.

Learn more about Ratios here:

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