Question

Brad says that if a second number is 125% of the first number,then the first number must be 75% of the second number.Is he correct? Justify your answer.

Answer 1

Given:

A second number is 125% of the first number.

To Find:

Whether the first number is 75% of the second number.

Answer:

The first number is not 75% of the second number. It is actually 80% of the second number.

Step-by-step explanation:

Let the two numbers be denoted by x and y. Given that y is 125% of x. So,

$y=(\frac{125}{100})(x)$

We can simplify this as

$y=(\frac{5}{4})(x)$

Or,

$x=(\frac{4}{5})y=(\frac{80}{100})y$

Thus, we see that the first number is not 75% of the second number. It is actually 80% of the second number.