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The school that Alex goes to is selling tickets to a Dance performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. 

 Jan 26, 2018
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Let the price of senior citizen ticket = S

Let the price of a child's ticket = C

 

3S + C = 38.....................................(1)

3S + 2C = 52, solve for C, S...........(2)   subtract (1) from (2)

C = $14 - price of 1 child's ticket

Sub this in (1)

3S + 14 = 38    subtract 14 from both sides

3S = 24            Divide both sides by 3

S = $8 - price of a senior citizen's ticket.

 Jan 26, 2018

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