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

2 Answers
Sep 8, 2017

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

Sep 8, 2017

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".

SocraticSocratic

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 :)