In a ratio of 3:2, if the total number of parts is 10, how much does each part represent?

To determine how much each part represents in a ratio of 3:2 with a total of 10 parts, first, you need to add the components of the ratio together. Here, 3 (from the first part of the ratio) and 2 (from the second part) add up to 5. This means that there are a total of 5 parts in the ratio.

Next, to find out how many parts each component of the ratio corresponds to when the total is 10, divide the total number of parts by the number of parts represented in the ratio:

Total parts = 10

Total ratio parts = 3 + 2 = 5

Now, you divide the total parts (10) by the total ratio parts (5):

10 ÷ 5 = 2.

This means each part in the ratio corresponds to a value of 2. Thus, in the given ratio of 3:2, each part represents 2, which aligns with the answer provided. This logical breakdown shows how to convert a ratio into actual quantities based on a given total.