SOLUTION: Mr.Williams is buying tickets for the school musical.Adult tickets cost $3.00 more than student tickets.He buys 7 student tickets and 6 adult tickets,and spends a total of $83.00.W

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mr.Williams is buying tickets for the school musical.Adult tickets cost $3.00 more than student tickets.He buys 7 student tickets and 6 adult tickets,and spends a total of $83.00.W      Log On


   

Question 1148941: Mr.Williams is buying tickets for the school musical.Adult tickets cost $3.00 more than student tickets.He buys 7 student tickets and 6 adult tickets,and spends a total of $83.00.What is the price of one adult ticket?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the cost of a student ticket
Let +b+ = the cost of an adult ticket
--------------------------------------------
(1) +b+=+a+%2B+3+
(2) +7a+%2B+6b+=+83+
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(2) +7a+%2B+6%2A%28+a+%2B+3+%29+=+83+
(2) +7a+%2B+6a+%2B+18+=+83+
(2) +13a+=+65++
(2) +a+=+5+
and
(1) +b+=+a+%2B+3+
(1) +b+=+8+
-------------------
One adult ticket costs $8
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Check:
(2) +7a+%2B+6b+=+83+
(2) +7%2A5+%2B+6%2A8+=+83+
(2) +35+%2B+48+=+83+
(2) +83+=+83+

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Mr.Williams is buying tickets for the school musical.Adult tickets cost $3.00 more than student tickets.He buys 7 student tickets and 6 adult tickets,and spends a total of $83.00.What is the price of one adult ticket?
Let price of an adult's ticket be A

Then price of a student's ticket is: A - 3

We then get: 6A + 7(A - 3) = 83

6A + 7A - 21 = 83

13A = 104

A, or cost of an adult's ticket = highlight_green%28matrix%281%2C3%2C+104%2F13%2C+%22=%22%2C+%22%248%22%29%29