Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.3 Solving Applications: Systems of Two Equations - 8.3 Exercise Set - Page 527: 13


36 hats and 9 tee shirts.

Work Step by Step

We first write the word problem as an equation. Next, we solve the equation using substitution. Doing this, we find: $$ x+y=45, 14.5x+19.5y=697.5 \\ \frac{29}{2}\left(45-y\right)+\frac{39}{2}y=\frac{1395}{2}\\ y=9 \\ x=45-9 \\ x=36$$
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