SOLUTION: 700 tickets for 13330, $25 for adults, $15 for students. How many of each ticket was sold. How to I get a formula for that

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Question 296786: 700 tickets for 13330, $25 for adults, $15 for students. How many of each ticket was sold. How to I get a formula for that
Answer by blwinbbbles(106) (Show Source):
You can put this solution on YOUR website!
Start with your equations...let x be adult and y be student
If there were 700 tickets sold then equation 1 is x+y=700
and there was $13330 sold so equation 2 is 25x+15y=13330
1) x+y=700 you can rearrange this..subtract y from both sides so
that x=700-y
2) 25x+15y=13330
since we know that x=700-y we can sub that into equation 2
25(700-y)+15y = 13330
17500-25y+15y = 13330
17500-10y=13330 subtract 17500 from both sides
-10y= -4170 divide both sides by -10
y=417 so now you can go back and use y=417 in equation 1.
x+417=700 subtract 417 from both sides
x=283
so they sold 283 adult tickets and 417 student tickets
Hope this helps