College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 556: 60

Answer

$110$ adult tickets sold and $215$ senior tickets sold.

Work Step by Step

Let $x=$ the number of adult tickets sold and $y=$ the number of senior tickets sold. Given: $\left\{\begin{array}{l} {x+y=325}\\ {9x+7y=2495}\end{array}\right.$ multiply the 1st equation with (-7) and add to the second $2x=2495-7(325)$ $2x=220$ $x=110$ Back-substitute into $x+y=325$ $110+y=325$ $y=215$ $110$ adult tickets sold and $215$ senior tickets sold.
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