Pete sold tickets for his theater company's performance. Tickets for the performance were sold for $25, $35, or $50. He sold a total of 40 tickets for $1,670. He sold twice as many $35 tickets as $25 tickets. How many $25 tickets did Pete sell?

Question

anonymous · Answer

I'm unsure what the system of equations would be....?

anonymous · Answer

Err I don't know but I know he sold 6 $25 12 $35 and 22 $50.

anonymous · Answer

How'd you get that???

anonymous · Answer

a=tickets of 25
b=tickets of 35
c= tickets of 50
2a=b
2a+a+c=40 so ->3a+c=40
25a+35b+50c=1670-> 25a+70a+50c=1670-> 95a+50c=16700
maybe this helps? I really just guessed. My friend had this prob a while ago and I remembered the answer. Sorry I couldn't help more.

anonymous · Answer

That makes sense. I think I get it, so it's okay, you actually helped a lot :D Thank you!!

anonymous · Answer

no problem sorry again