Question

The are 30 students on the cheerleading squad. The membership went up by 10%. How many more students joined the squad? Please explain

Answer 1

Answer:

3 students joined the squad

Step-by-step explanation:

10% is 10/100 = 1/10

10% of 30 = (1/10)×30 = 30/10 = 3

When we say, "the membership went up by 10%", we mean that the increase in membership is equal to 10% of the original membership. That is, the increase is 10% of 30, or 3 members.

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The words "per cent" literally mean "per hundred" or "divided by one hundred." The symbol "%" means "/100" and can be considered to be a shorthand way to write "/100". (Likewise, the symbol "‰" means "/1000".)

So, 10% = 10/100, ten hundredths. As a decimal, you know ten hundredths is 0.10. These various representations all have the same value.

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In math problems, the word "of" often means "times." That is, it is an indication of multiplication.

"10% of 30" means "0.10×30", for example.

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When dealing with percentage changes, the change is always in relation to some original amount. It is important to identify what original amount is being talked about when talking about percentage changes.

Here, the original amount is the number of students on the squad before any changes took place. That number is 30 students. Then, the change is the percentage of (times) the original amount, so 10% of 30 students.