Okay smart people, I need math help. A game retailer makes $31,845. New games are $55 and Used games are $10. They sell 4 times as many New games as they do Used games. How many of each game do they sell? I'm told this involves fractions and conversions. I just can't seem to wrap my head around it. I keep going back to splitting up 31,845 4:1, but that gives me 638 used and 463 new. That's not right because the new games should be 4 times higher than used. I hate math! Hellllllllllp! In fact, I don't even need the answer, just how to set up the problem...

X= 4Y+Z X=31845 31845/5= Unit answer Crap that doesnt work (4)55Y+(1)10Z=31845 I think I've got it now. 31845/5 = 6369 <--- Since you have five units in all, Divide by five, and you get however much money Used copies made. 6369*4= 25476 <---- Since there are four times as many copies of the New game than there are used copies, This is how much the New Copies Made I think..... That's not right either. My solution doesn't work because it assumes the Price/Unit is the same both ways. If this was three years ago, I would have had it right the first time.

revenue=R=31845 R=55x + 10y X= new games Y= used games X=4Y R=55(4y)+10y 31845= 220y+10y 31845= 230y y=138.45 x=553.8 To check the answer 553.8*55+10*138.45=31843.5 Obviously, you can't sell half a game, so by rounding the numbers to 139 and 553 you get effectively the solution.

I had almost every iteration of that. I just couldn't put them together in a way that made sense. Thank you! Thanks everyone!