Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set: 46

Answer

7.5 ounces of concentrate are needed

Work Step by Step

(Note: x:y is same as $\frac{x}{y}$) Given: 3 ounces of concentrate are mixed with 2 gallons of water. Thus ratio of concentrate to water = 3:2 Let new amount of concentrate be x ounces. Given that 'x' ounces are mixed with 5 gallons of water. Thus ratio of concentrate to water = x:5 Since the ratios are equal, $\frac{3}{2}$ = $\frac{x}{5}$ Cross multiplying, 2x =15, x = $\frac{15}{2}$ Thus x = 7.5 ounces of concentrate
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