Question 1026404: I need help with this problem, Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets. If both people paid the same price per ticket, what was the price of an adult ticket?
Answer by ikleyn(53751)   (Show Source):
You can put this solution on YOUR website! .
I need help with this problem, Santo paid $16.25 to buy 5 children tickets and 1 adult ticket.
Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets.
If both people paid the same price per ticket, what was the price of an adult ticket?
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5*c + 1*a = 1625, (1) (Santo paid)
4*c + 3*a = 2400. (2) (Hulda paid)
where "c" is for children ticket price and "a" is for the adult ticket price.
Now, from (1) express a = 1625 - 5c, and substitute it into (2). You will get
4c + 3*(1625 -5c) = 2400.
Simplify and solve for c:
4c + 4875 - 15c = 2400,
-11c = 2400 - 4875,
-11c = -2475,
c =  = 225.
So the children ticket is 225 cents = $2.25.
The adult ticket is (from (1)) a = 1625 - 5*c = 1625 - 5*225 = 500 cents = $5.
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