Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - 3.1 Solve Linear Systems by Graphing - 3.1 Exercises - Problem Solving - Page 157: 35

Answer

$6$ hours as a lifeguard, and $8$ as a cashier.

Work Step by Step

Let $x$ be the hours worked as a lifeguard, then the hours worked as a cashier is $14-x$. Our equation is: $8x+(14-x)6=96\\8x+84-6x=96\\2x=12\\x=6$ Thus we worked $6$ hours as a lifeguard, and $8$ as a cashier.
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