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saul85 [17]
3 years ago
15

At a regional soccer​ tournament, tickets for two adults and seven students cost ​$60. Tickets for three adults and eleven stude

nts 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 ​$
Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

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

Step-by-step 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

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Let x and y represent the numbers of gallons used by the 40 mpg and 35 mpg cars, respectively.
.. x +y = 40 . . . . . . . . . . .total consumption is 40 gallons
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Add the two expressions 6q+1 and q+11<br> Enter your answer into the box
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