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Let x= cost of a senior citizen in dollars and y= cost of a student in dollars.

The school that Thessali goes to is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 11 senior citizen tickets and 7 student tickets for a total of $212. The school made $204 on the second day by selling 2 senior citizen tickets and 14 student tickets. Find the price for a senior citizen ticket and the cost for a student ticket.

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wocmgaming

Answer:

11 for senior ticket and 13 for student ticket

Step by step explanation:

Make the equations 11x+7y=212 and 2x+14y=204 by saying x=senior ticket price and y=student ticket price

then substitute:

2x+14y=204 --> x+7y=102 --> x=102-7y

11x+7y=212 then use this equation ^ to make it 10x+7y-7y+102=212 --> 10x+102=212 --> 10x=212-102 --> 10x=110 --> x=11 so then price of senior ticket is 11 and then 11*11=121 and 212-121 is 91 and 91/7=13