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Old STEP questions, struggling with solution

Hey there!

I'm struggling with the solution posted for math STEP II 2013 Q1. It is a fairly easy question, I understand the context and the solution, except for this one part.

I won't be able to do the formatting well enough, so here is the link to the 2013 step paper:
http://www.admissionstestingservice.org/for-test-takers/step/preparing-for-step/

Also, here is the link to the solution posted on this forum:
http://www.thestudentroom.co.uk/showpost.php?p=43277797&postcount=27
(I didn't want to revive this ageold thread)

Specifically, what bugs me is the assumption in the solution that
q / c > (gq + c) / (gp + c)

With that assumption in this case, the whole question makes a lot of sense, but I seem to be unable to derive it.

Sorry to keep referring to these ressources and not explaining the core of the problem myself - I just think that the question does a better job at that than I could do here.

.I also hope this is not a doublepost, but I don't think it worked the first time I posted.

..Thanks so much!

Reply 1

sweeneyrod