SOLUTION: At carowinds you purchased 4 adult tickets and 3 children tickets for $480. Your best friend purchased 2 adult tickets and 1 child ticket for $210. How much does each adult ticket

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Question 912157: At carowinds you purchased 4 adult tickets and 3 children tickets for $480. Your best friend purchased 2 adult tickets and 1 child ticket for $210. How much does each adult ticket cost? How much does the child cost each?

Found 2 solutions by JulietG, ewatrrr:
Answer by JulietG(1812) (Show Source):
You can put this solution on YOUR website!
4A + 3C = 480
2A + 1C = 210
C = 210 - 2A
Replace that value of C into the first equation.
4A + 3(210-2A)= 480
4A + 630 - 6A = 480
-2A + 630 = 480
630 = 480 + 2A
150 = 2A
75 = A

If the adult ticket is 75, then the child ticket is
210 - 150 = 60
Check:
4 adult tickets and 3 children tickets for $480: (4*75) + (3*60) = 300+180=480
2 adult tickets and 1 child ticket for $210: (2*75) + (1*60) = 150+60 = 210

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
4a + 3c = 480
-2(2a + 1c) = 210
c = $60, cost of children ticket
a = $75