How do you solve #\frac { 35} { 33} = \frac { 140} { x }#?

Question

419 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-25T22:48:01

See a solution process below:

First, rewrite the expression using cross products or cross multiplication:

enter image source here

#35/33 = 140/x -> 35 * x = 33 * 140 -> 35x = 4620#

Now, divide each side of the equation by #color(red)(35)# to solve for #x# while keeping the equation balanced:

#(35x)/color(red)(35) = 4620/color(red)(35)#

#(color(red)(cancel(color(black)(35)))x)/cancel(color(red)(35)) = 132#

#x = 132#