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A middle school had a school spirit day. In one class, the ratio of students who wore school colors to the number of students who didn't was 8 to 5. Ten students didn't wear school colors.

What is the total number of students in the class?

Answer :

Final answer:

The ratio of students wearing school colors to those not wearing them was 8 to 5. Ten students didn't wear school colors, so using a proportion, we find that 16 students wore school colors.

Explanation:

The question involves a ratio problem where the class had a ratio of 8 students wearing school colors to every 5 students not wearing them. Given that ten students didn't wear school colors, we need to find out how many did. We can write the ratio as 8:5, which means for every 8 students wearing school colors, there are 5 students not wearing them.

To solve this, we set up a proportion where 8/5 equals the number of students who wore school colors divided by 10 (the number of students who did not wear school colors). The proportion would look like this:

8/5 = x/10,

where x represents the number of students who wore school colors. Multiplying both sides of the equation by 10 gives us:

8 ×2 = x,

Therefore, x = 16, meaning 16 students wore school colors to the spirit day.

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