Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 65

Answer

137.5 grams of carbohydrates would be in a plan that has 2200 calories.

Work Step by Step

Let X represent the amount of carbohydrates in a plan that has 2200 calories. The ratio of calories to grams of carbohydrates is 16 to 1, or $\frac{16}{1}$. Now, let’s set up a proportion with the ratio given and a ratio which compares the amount of calories to the amount of grams of carbohydrates. So, $\frac{16}{1}$ = $\frac{2200}{X}$ To solve this equation, we equate the cross products. 16 $\times$ X = 2200 $\times$ 1 16X = 2200 Divide both sides by 16 X = 137.5 137.5 grams of carbohydrates would be in a plan that has 2200 calories.
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