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Back to 5.4 Solve Applications with Systems of Equations

5.4 Exercise 86

Avg difficulty 2.5

At a school concert, 425 tickets were sold. Student tickets cost $5 each and adult tickets cost $8 each. The total receipts for the concert were $2,851. Solve the system

{s+a=4255s+8a=2,851\begin{cases} s + a = 425 \\ 5 s + 8 a = 2,851 \end{cases}

to find ss, the number of student tickets and aa, the number of adult tickets.

OpenStax Elementary Algebra 2e, 5.4 Solve Applications with Systems of Equations, exercise 86

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.