Algebra: A Combined Approach (4th Edition)

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

Chapter 9 - Section 9.1 - Solving Systems of Linear Equations in Three Variables and Problem Solving - Exercise Set - Page 642: 60

Answer

a) 435 dollars b) 1071 dollars c) Greatest--male architects, least--female nurses

Work Step by Step

Let $m$ and $f$ represent the amount male nurses make in a week and the amount female nurses make in a week, respectively. a) $m=89+f$ $.83m=f$ $m=89+.83m$ $.17m=89$ $.17m/.17 = 89/.17$ $m=523.53$ $m=89+f$ $523.53=89+f$ $434.53=f$ b) Let $x$ and $y$ represent the amount male architects make in a week and the amount female architects make in a week, respectively. $x=y+257$ $x=1.24y$ $y+257=1.24y$ $257=.24y$ $257/.24=.24y/.24$ $y=1070.83$ $x=y+257$ $x=1070.83+257$ $x=1327.83$
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