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At a regional soccer​ tournament, tickets for two adults and seven students cost ​$60. Tickets for three adults and eleven students cost ​$93. Determine the price of an adult ticket and the price of a student ticket.

The price of an adult ticket is ​$, and the price of a student ticket is ​$

User Xupypr MV
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1 Answer

4 votes

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6

User Ben Thompson
by
5.6k points
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