SOLUTION: Amy's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 10 senior citizen tickets and 1 student ticket for a total of $54. The school to

Question 1109593: Amy's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 10 senior citizen tickets and 1 student ticket for a total of $54. The school took in $74 on the second day by selling 1 senior citizen ticket and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x=senior and y=student
10x+y=54
x+5y=74
-10x-50y=-740
-49y=-686
y=$14 student
x=$4 senior

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the price of a senior ticket
Let = the price of a student ticket
-------------------------------------------
(1)
(2)
--------------------------
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
----------------------------

and
(1)
(1)
(1)
----------------------------
A senior ticket costs $4
A student ticket costs $14
----------------------------
check:
(2)
(2)
(2)
(2)
OK

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