Answered: A concert sold 100 tickets for a total…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.3: Solve Mixture Applications With Systems Of Equations

Problem 4.47TI: Translate to a system of equations and solve: The ticket office at the zoo sold 553 tickets one day....

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A concert sold 100 tickets for a total of $900. Adult tickets and children tickets were sold. Tickets for children cost $3 and tickets for adults cost $11. Write the two system of equations AND solve the system.

Expert Solution

Step 1

Let x tickets were sold for children and y tickets were sold for adults.

Since, total tickets=100

So, $x + y = 100 (1)$

Price of child ticket= $$ 3$

Price of adult ticket= $$ 11$

Total price=$900

So, $3 x + 11 y = 900 (2)$

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