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: 58


$40$ pounds of peanuts and $60$ pounds of walnuts.

Work Step by Step

Let $x$ be the amount of peanuts. Then the amount of walnuts is $100-x$. Then our equation is: $1.49x+(100-x)\cdot2.69=100\cdot2.21\\1.49x+269-2.69x=221\\-1.2x=-48\\x=40.$ Thus he mixed $40$ pounds of peanuts and $60$ pounds of walnuts.
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