SOLUTION: Two types of tickets are sold for a concert. Adult tickets each cost $20, while child tickets each cost $10. A total of 150 tickets are sold, bringing in a total of $2,470. How man

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Question 270054: Two types of tickets are sold for a concert. Adult tickets each cost $20, while child tickets each cost $10. A total of 150 tickets are sold, bringing in a total of $2,470. How many adult tickets were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a = number of adult tickets sold
c = number of children's tickets sold
given:
(1) a+%2B+c+=+150
(2) 20a+%2B+10c+=+2470
----------------------
Subtract (1) from (2)
(2) 2a+%2B+c+=+247
(1) -a+-+c+=+-150
a+=+97
97 adult tickets were sold
check answer:
and from (1),
97+%2B+c+=+150
c+=+150+-+97
c+=+53
and
(2) 20a+%2B+10c+=+2470
20%2A97+%2B+10%2A53+=+2470
1940+%2B+530+=+2470
2470+=+2470
OK