At the beginning of the summer Matt swim 12 laps. At the end of the summer he could swim 15 laps. What is the percent increase in the number of laps Mat and swim?

percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.

In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.

percent change = (15 - 12)/(12) * 100

percent change = 3/12 * 100

percent change = 25

Since the percent change is positive, +25, it is a percent increase.

Answer: The percent increase is 25%

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facundo3141592 facundo3141592 · Answer 2 · 2022-04-22T12:55:05+02:00

By solving a little system of equations, we will see that the percent increase is 25%.

What is the percent increase?

Originally, Matt could swim 12 laps, this will be the 100%, so we can write:

12 = 100%

At the end, he can swim 15 laps, so there is an increase of:

15 laps - 12 laps = 3 laps.

We want to see which percentage is 3 laps, so we write:

3 = X

Then we have two equations:

3 = X

12 = 100%

If we take the quotient of the two equations we will get:

3/12 = X/100%

Solving for X, we get:

(3/12)*100% = X = 25%

So we conclude that the number of laps increased in a 25%.

If you want to learn more about percentages, you can read:

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