Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.3 - Modeling with Linear Equations - 1.3 Exercises - Page 99: 56

Answer

$450000$ dollars was invested in minivans, and $150000$ dollars was invested in alternative-fueled vehicles.

Work Step by Step

Let $x$ be the amount invested on minivans. Then the amount invested on alternative-fueled vehicles is $600000-x$. Then our equation is: $0.24x+(600000-x)\cdot0.28=600000\cdot0.25\\0.24x+168000-0.28x=150000\\-0.04x=-18000\\x=450000.$ $450000$ dollars was invested in minivans, and $150000$ dollars was invested in alternative-fueled vehicles.
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