Question

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

Answer 1

Answer:

Denominator = 80

Step-by-step explanation:

Given:

The denominator is 16 greater than the numerator.

If the fraction is equivalent to 80 percent,

Question asked:

What is the denominator of the fraction ?

Solution:

Let numerator be $x$

Then the denominator = $x + 16$ (given)

As the fraction is equivalent to 80%,

$\frac{x}{x+16}$ $= 80\%$

$\frac{x}{x+16} = \frac{80}{100}$

By cross multiplication,

$100\times x = 80(x+16)\\100x = 80x + 1280$

By subtracting both side by $80x$

$100x - 80 x = 1280\\20x = 1280$

By dividing both side by 20

$x = 64$

Thus, numerator = $x$ = 64

Then the denominator = $x + 16$

                                     = 64 + 16 =80