Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 819: 59


$30$ and $45$ pounds.

Work Step by Step

Step 1. Assume we need $x$ pounds of the popular candy and $y$ pounds of the less popular candy; the total amount is $x+y=75$ which gives $y=75-x$ Step 2. The total price is given by $1.6x+2.1y=1.9(75)$ Step 3. Substitute $y=75-x$ in the second equation; we have $1.6x+2.1(75-x)=1.9(75)$ and $1.6x-2.1x=(1.9-2.1)(75)$, thus $x=30$ and $y=45$ pounds.
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