Average attendance at a school’s basketball games increased from 1,000 to 1,500 last year. One student said that represented a 150% increase. Explain the student’s mistake. What is the actual percent increase?

Answer:

50%

Step-by-step explanation:

Since 1,000 is 100% of the attendance, 500 is half of 1,000 meaning it's 50%.

I think the student added 50% and 100%, they could have also divided 1,500 by 10.

The actual percent increase would be equal to 50 percent.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means). Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]

We have been given that the Average attendance at a school’s basketball games increased from 1,000 to 1,500 last year. a student said that represented a 150% increase.

Since 1,000 is 100% of the attendance, 500 is half of 1,000 which means that it's 50%.

The student added 50% and 100%, they could have also divided;

1,500 by 10

Therefore, the actual percent increase would be equal to 50 percent.

Learn more about percent here:

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