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: 56

Answer

Calories in a 2-ounce portion = 182.857.

Work Step by Step

(Note x:y is same is x to y, or $\frac{x}{y}$) Given, a 14-ounce portion contains 1280 calories. Thus, ratio of calories to an ounce sized portion = $\frac{1280}{14}$ Now, let a 2-ounce serving contain 'x' calories. Thus ratio of calories to ounce sized portion = x to 2 = $\frac{x}{2}$ Since the ratios are equal, $\frac{1280}{14}$ = $\frac{x}{2}$ Cross multiplying, 14(x) = 1280(2) = 2560 x = $\frac{2560}{14}$ = 182.857 calories
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