Question

How do you solve `\frac { 19} { x } = \frac { 38} { 100}`?

Answer 1

`x = 50`

Explanation:

`19/x = 38/100`

multiply both sides with `x` to eliminate `x` at `19/x`
`19/x * x = 38/100 * x`
`19= (38 x)/100`

multiply `100` to both sides
`19 * 100 = (38 x)/100 * 100`
`1900 = 38 x`

divide `38` to both sides to isolate `x`
`1900/38 = (38 x)/38`

`50 = x`

Answer 2

Cross-multiply.

Explanation:

Solving implies we determine the value of `x` in this equation.

In order to solve this, an easy way is to "cross-multiply".

Socratic

If we were to apply this to our equation...

`19/x=38/100`

`19(100)=38x`

`1900=38x`

`50=x`

We can check our work by subbing in `x=50` into the original equation.

`19/x=38/100`

`19/50=38/100`

If we simplify the right side of the equal sign.

`19/50=19/50`

They equal each other! This proves that `x=50`.

Hope this helps :)