Question

How do you solve `\frac { 25} { 100} = \frac { x} { 50}`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(50)` to solve for `x` while keeping the equation balanced:

`color(red)(50) xx 25/100 = color(red)(50) xx x/50`

`color(red)(50) xx 25/(2 xx 50) = cancel(color(red)(50)) xx x/color(red)(cancel(color(black)(50)))`

`cancel(color(red)(50)) xx 25/(2 xx color(red)(cancel(color(black)(50)))) = x`

`25/2 = x`

`x = 25/2`