Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 7 - Section 7.2 - Proportion - Exercises - Page 277: 55

Answer

a) 12 bushels per tree b) $4680

Work Step by Step

Find the total number trees. $3\ rows\times\frac{5\ trees}{row}=15\ trees$ a) Create a proportion using ratios of bu : tree. $\frac{180\ bu}{15\ trees}=\frac{x\ bu}{1\ tree}$ Set the product of the means equal to the product of the extremes and solve for the variable. $15\times x = 180\times1$ $15x=180$ $15x\div15=180\div15$ $x=12$ b) Create a proportion using ratios of cost : bu. $\frac{\$13}{0.5\ bu}=\frac{\$x}{180\ bu}$ Set the product of the means equal to the product of the extremes and solve for the variable. $0.5\times x = 13\times180$ $0.5x=2340$ $0.5x\div0.5=2340\div0.5$ $x=4680$
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