Work input/output, efficient probelm, just need someone to check my work

[KatieLynn]

Work input/output, efficient probelm, just need someone to check my work :)

Homework Statement

Because there is very little friction, the lever is an extremely efficient simple machine. Using a 90% efficient lever, what input work is required to lift an 18kg mass through a distance of 0.5m?

Homework Equations

(Fout/Fin)/(Din/Dout)

The Attempt at a Solution

(Fout/Fin)/(Din/Dout)
(176.6N/Fin)/(Din/.5m)=.9

so you get (Fin)(Din)=98.1 which FD is work so 98.1J is the answer correct?

 

[Galileo's Ghost]

Well, I do not quite understand (Fout/Fin)/(Din/Dout) as being an "equation". There is no = sign!

That said, when I work the problem, my answer matches yours. I think you mean to write (Fout/Fin) = (Din/Dout), which is legitimate!