Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-7 Solving Proportions - Got It? - Page 126: 4

Answer

$12\space oz$ orange juice contains $145.5\space mg\approx146\space mg$ of vitamin C.

Work Step by Step

Write a proportion to model the situation. You can set up the proportion so that the numerators have the same units and the denominators have the same units. Then solve the proportion. $\therefore \frac{8\space oz}{97\space mg}$. Now let's assume that the other cup of juice contains $x$ milligrams of vitamin C. Let's equate the proportionality, $\therefore \frac{8\space oz}{97\space mg}= \frac{12\space oz}{x}$. Cross multiplying, $\therefore {x}=\frac{12\space oz\times 97\space mg}{8 \space oz}$ $\therefore x = 145.5 \space mg$. So, $12\space oz$ orange juice contains $145.5\space mg\approx146\space mg$ of vitamin C.
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