SOLUTION: The school that Carlos goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 senior citizen tickets and 6 student tickets for a t

Algebra ->  Rational-functions -> SOLUTION: The school that Carlos goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 senior citizen tickets and 6 student tickets for a t      Log On


   

Question 1091818: The school that Carlos goes to is selling tickets to a choral performance. On the first day of ticket
sales the school sold 14 senior citizen tickets and 6 student tickets for a total of $180. The school
took in $117 on the second day by selling 12 senior citizen tickets and 1 student ticket. Find the
price of a senior citizen ticket and the price of a student ticket.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the price of a senior ticket
Let +b+ = the price of a student ticket
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(1) +14a+%2B+6b+=+180+
(2) +12a+%2B+b+=+117+
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(1) +7a+%2B+3b+=+90+
Multiply both sides of (2) by +3+ and
subtract (1) from (2)
(2) +36a+%2B+3b+=+351+
(1) +-7a+-+3b+=+-90+
--------------------------
+29a+=+261+
+a+=+9+
and
(1) +7a+%2B+3b+=+90+
(1) +7%2A9+%2B+3b+=+90+
(1) +63+%2B+3b+=+90+
(1) +3b+=+27+
(1) +b+=+9+
-------------------------
I get the same price for either senior or student
$9/ticket. Get another opinion if needed