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".

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 :)