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------------------------------------------------ You are making a mix of concrete to patch a set of stairs. The proper mix requires 1 part Portland cement, 2 parts sand, and 3 parts gravel.

a. How many total parts are in one batch of concrete?

b. You make a mix with 4 parts of sand. How many total parts of cement, sand, and gravel are in your mix?

For a concrete mix with Portland cement, sand, and gravel in a 1:2:3 ratio, there are six parts in total. If you have a mix with 4 parts sand while maintaining the same proportion, you would have 12 total parts including 2 parts cement and 6 parts gravel.

Explanation:

The mix for concrete consists of three part: Portland cement, sand, and gravel. To get the total parts in one batch, we add one part of Portland cement, two parts of sand, and three parts of gravel, which would total to six parts.

In the scenario where you have a mix with 4 parts of sand, you would be working with a different ratio that was not explicitly mentioned in the question. However, if we uphold the same proportion (1:2:3), it would require 2 parts Portland cement and 6 parts gravel. So, the total would be 2 parts cement + 4 parts sand + 6 parts gravel = 12 parts in total.

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