How do you solve the equation #n times 500=5000#?

2 Answers
Jim G.
Oct 22, 2016

#n=10#

Explanation:

We have the equation.

#nxx500=5000rArr500n=5000#

To solve for n, divide both sides by 500.

#(cancel(500) n)/cancel(500)=5000/500#

#rArrn=10" is the solution"#

Tony B
Oct 22, 2016

n=10

Explanation:

#color(blue)("Using shortcut method")#

Move the 500 to the other side of the = and change it to divide

#n=5000/500#

#n=(cancel(5000)^10)/(cancel(500)^1) larr" canceling out"#

#n=10#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Using first principles method")#

Divide both sides by 500

#(nxx500)/500=5000/500#

But #10xx500=5000# so we have

#(nxx500)/500=(10xx500)/500#

This is the same as

#nxx500/500=10xx500/500#

But #500/500=1#

#nxx1=10xx1#

#n=10#

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