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The school that Perry goes to is selling tickets to a spring musical. On the first day of ticket sales, the school sold 3 senior citizen tickets and 7 student tickets for a total of $134.00. The school took in $92.00 on the second day by selling 3 senior citizen tickets and 4 student tickets. Find the price of each type of ticket.

Guest Aug 24, 2018

Best Answer 

 #1
avatar+350 
+2

From these two sentences, we can get two equations: \(3s + 7t = 134\) and \(3s + 4t = 92\). In order to solve this, we can use elimination, to get rid of one of the variables. If we subtract the second equation from the first, we can get \(3t = 42\), which simplifies to \(t = 14\). Now that we know that the student tickets cost $14, we can plug that into either the first or second equation. Both will give the same answer. Let's just use the first equation. From here we can get \(3s + 7(14) = 134\), which we can solve and get \(s = 12\). So the senior tickets cost $12.

 

- Daisy

dierdurst  Aug 24, 2018
 #1
avatar+350 
+2
Best Answer

From these two sentences, we can get two equations: \(3s + 7t = 134\) and \(3s + 4t = 92\). In order to solve this, we can use elimination, to get rid of one of the variables. If we subtract the second equation from the first, we can get \(3t = 42\), which simplifies to \(t = 14\). Now that we know that the student tickets cost $14, we can plug that into either the first or second equation. Both will give the same answer. Let's just use the first equation. From here we can get \(3s + 7(14) = 134\), which we can solve and get \(s = 12\). So the senior tickets cost $12.

 

- Daisy

dierdurst  Aug 24, 2018

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