For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller? 15 and 20

Respuesta :

The answer for the first question is 33.33%.
Reason: The second number (20) is larger than the first number (15) by 5 and 5 is 33.33% the first number.
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The answer for the second question is 25%, also.
Reason: The first number (15) is smaller than the second number (20) by 5 and it is 25 percent of the second number.
:)

By using a rule of 3, we will see that:

  • The second number is 33.33% larger than the first one.
  • The first number is 25% smaller than the second one.

How to find the percentages?

In the first case, we want to know by what percent of the first number is the second larger.

Then the 100% will be taken as the first number, so we have the relation:

100% = 15

And the other number will represent a percentage X, so we write:

X = 20

By taking the quotient of these two equations, we get:

X/(100%) = 20/15

Solving this for X, we get:

X = (20/15)*100% = 133.33%

We can conclude that the second number is 33.33% larger than the first number.

For the second part, we take 20 as our 100%, and we do the same thing:

X = (15/20)*100% = 75%

Then 15 is (100% - 75% = 25%) 25% smaller than 20.

As you can see the percentages are different. Why does this happen? because in each case the 100% represents a different number.

Finally, we can conclude that:

  • The second number is 33.33% larger than the first one.
  • The first number is 25% smaller than the second one.

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

https://brainly.com/question/843074