A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be exchanged for 2 small action figures. The boy wants 4 times as many small action figures as large action figures. Based on this information, can the boy get 80 small action figures?

Question

ghostgate · Answer

So we know he has 380 tickets overall and needs 5 for one large action figure and 7 for 2 small action figures. As for the amount he wants, he wants 4 times as many small ones than large ones. Due to how we know the solution of if he can get 80 small action figures, simply put, that would be 80 / 4 = 20. So that means 80 small and 20 large. Now we need to figure out how many tickets that is.
80 / 2 = 40 x 7 = 280 tickets. 20 x 5 = 100 tickets. That equals exactly 380 tickets. So the answer is yes, he can get 80 small action figures.

anonymous · Answer

@Ghostgate A. No, because he would not have enough tickets for 20 large action figures
B. Yes, because he would still have enough tickets for 320 large action figures
C. No, because he would not have enough tickets for 320 large action figures
D. Yes, because he would still have enough tickets for 20 large action figures

anonymous · Answer

I chose D

ghostgate · Answer

Yeah I would agree with you for choosing D, I would choose it myself.

anonymous · Answer

Thanks for the help. @Ghostgate

ghostgate · Answer

No problem! ;) - I'm glad I could help!