SOLUTION: John's school is selling tickets to a play. On the first day of ticket sales the school sold 10 senior citizen tickets
and 3 student tickets for a total of $57. The school took in
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Question 1007826: John's school is selling tickets to a play. On the first day of ticket sales the school sold 10 senior citizen tickets
and 3 student tickets for a total of $57. The school took in $114 on the second day by selling 5 senior citizen
tickets and 11 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Found 2 solutions by fractalier, tiffany222:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let the prices of senior and student tickets be x and y. Then we have
10x + 3y = 57 and
5x + 11y = 114
Now multiply this second equation by two and subtract from the first and we get
10x + 3y = 57
-(10x + 22y = 228)
---------------------
-19y = - 171
y = 9 dollar student tickets
Substituting back into the first equation gives
10x + 3(9) = 57
10x + 27 = 57
10x = 30
x = 3 dollar senior tix
Answer by tiffany222(56) (Show Source): You can put this solution on YOUR website!
Let price of senior citizen tickets be x
Let price of student tickets be y
10x + 3y = 57
5x + 11y = 114
Multiply second equation by 2:
10x + 3y = 57
10x + 22y = 228
Subtract equations to eliminate x:
-19y = -171
y = 9
Substitute y to get x:
10x + 3y = 57
10x + 3(9) = 57
10x + 27 = 57
10x = 30
x = 3
Final Answer:
Senior Citizen Ticket = $3
Student Ticket = $9
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