Question

x = 1350 + (25x)/100​

Answer 1

We are given an equation x = 1350 + (25x)/100​

We have to solve the equation to find the value of 'x'

Now, first of all

$\frac{25x}{100}$ can be simplified and written as $\frac{x}{4}$

So, the equation can be rewritten as

$x=1350+\frac{x}{4}$

We will multiply the whole equation by 4

$4=5400+x$

$x=4-5400$

$x=-5396$

The value of 'x' will be -5396.

Answer 2

Given expression:-

$x=\frac{1350+25x}{100}$

We have to simplify the expression for x,

Breaking the fraction,

$x=\frac{1350}{100}+\frac{25x}{100}$

Find the greatest common factor of the numerator and denominator:

$x=\frac{(27\times 50)}{(2\times 50)} +\frac{25x}{100}$

$x=\frac{27}{2}+\frac{1}{4} x$

Subtract both sides by $\frac{1}{4} x$ from both sides,

$=>x-\frac{1}{4}x=\frac{27}{2} +\frac{1}{4} x-\frac{1}{4} x$

$=>\frac{4}{4}+\frac{-1}{4}x=\frac{27}{2} +\frac{1}{4} x-\frac{1}{4} x$

$=>\frac{3}{4}x=\frac{1}{4} x+ \frac{-1}{4} x+\frac{27}{2}$

By simplifying it we get,

$=>\frac{3}{4}x=\frac{1-1}{4}x+\frac{27}{2}$

$=> \frac{3}{4}x=\frac{0}{4}x+\frac{27}{2}$

$=> \frac{3}{4}x=\frac{27}{2}$

Multiply both sides by an inverse fraction $\frac{4}{3}$

$=> \frac{3}{4}x\times\frac{4}{3}=\frac{27}{2}\times \frac{4}{3}$

$=>x=\frac{27}{2} \times \frac{4}{3}$

$=>x=18$

Hence, the value of x is 18.