Adult tickets for a play cost $25 each and children's tickets cost $15 each. The total receipts were $7200 and the total attendance was 400. How many adults and how many children attended?

Question

jonnyvonny · Answer

$25 for each adult and $15 for child, totaling a value we don't know.
We know that adults and children came, the amount, unknown. $$25a+15c=y \left|  \right| a+c=400$$
Did they give us the total amount of money made?

anonymous · Answer

yes i just edited the question, sorry.

jonnyvonny · Answer

np

jonnyvonny · Answer

In which case:$$25a+15c=7,200$$$$a+c=400$$
We can solve this using 1 or 2 ways; elimination or substitution, which do you want to do?

anonymous · Answer

I will try elimination, hold on...

anonymous · Answer

so the answer is: (120,280), or there were 120 adults and 280 children.

jonnyvonny · Answer

I got that as well. Good job :)...you know, of course, if we're both wrong then sheet >.>

anonymous · Answer

haha that would suck... should i write  the answer the way I just wrote it or is there a better way to write it?

jonnyvonny · Answer

Write it out; don't use points. "280 children and 120 adults" works.

anonymous · Answer

okay, thank you!