How do you solve #\frac { x } { 900} = \frac { 35} { 15}#?

3 Answers
Dec 1, 2017

Answer:

#x= 2100#

Explanation:

First cross multiply to have a linear equation:

#15x = 900*35#
#15x= 31500#

To isolate #x#, divide by 15:

#x = 31500/15#

#x= 2100#

Dec 1, 2017

Answer:

The easiest way to do this is to cross multiply and set the equation up like

#15x=900*35#

Explanation:

Think of it like you're multiplying #15# to both sides, which gets rid of the fraction on the right side (because #15/15=1#). This also works for the left side when you multiply each side by #900#.

After you get

#15x=31500#

simplify it by dividing each side by #15# to get

#x=2100#

Dec 2, 2017

Answer:

#x=2100#

Explanation:

In #" "x/900 = 35/15" "# you need to isolate #x#

Multiply both sides by #900# to cancel the fraction with #x#

#(color(blue)(900xx)x)/900 = (color(blue)(900xx)35)/15#

#(cancel900xxx)/cancel900 = (cancel900^60xx35)/cancel15" "larr# simplify

#x = 2100#

In this case I would not use cross-multiplying because it changes a #1x# term into a #15x# term, which then has to be divided by #15#