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Solve for Ticket Prices and Fundraiser Costs Using Systems of Equations

This problem set presents various scenarios involving systems of equations to determine prices and quantities. It includes church dinner ticket sales where the price of adult and child tickets must be found based on sales figures, as well as a cookie dough fundraiser that requires calculating the cost of chocolate chip and gingerbread packages. Lastly, we explore shirt purchases with a set budget to find out how many dress shirts and graphic tees were bought. Each scenario enhances the understanding of solving linear equations in real-world applications.

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Solve for Ticket Prices and Fundraiser Costs Using Systems of Equations

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  1. 12 6 1 2 9 7 4 11 5 10 3 8

  2. 1. (-10, 3) -5x = - 2y + 56 x = - 3y - 1 Home

  3. 2. (-10, 8) 3x - 5y = -70-4x + 15y = 160 Home

  4. 3. (2, -1) y = 4x - 9 y = x -3 Home

  5. 4. (8, 10) Reggie's school is selling tickets to the annual church dinner. On the first day of ticket sales the church sold 3 adult tickets and 5 child tickets for a total of $70. The church took in $216 on the second day by selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. Home

  6. 5. (3, 6) -4x = - 5y + 18 x = - y + 9 Home

  7. 6. InfiniteSolution 2x + 18y = 22+ -x - 9y = -11 Home

  8. 7. (1, 1) y = -3x + 4 y = 3x - 2 Home

  9. 8. (17, 19) Kayde and Denise are selling cookie dough for a BETA club fundraiser. Kaydesold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364. Denise sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93. Find the cost of one package of chocolate chip cookie dough and one package of gingerbread cookie dough. Home

  10. 9. (10, 0) 2x + 5y = 20+x + 5y = 10 Home

  11. 10. (Infinite Solutions) -2x -2y = 6 + 10x + 10y = -30 Home

  12. 11. (1, -2) y = 2 – 4x y = x - 3 Home

  13. 12. (2, 5) Ms. Miller spent $131 on shirts. Dress shirts cost $28 and graphic t’s cost $15. If she bought a total of 7 shirts then how many of dress shirts and how many graphic t’s did she buy? Home

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