Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.3 - Systems of Linear Equations and Problem Solving - Exercise Set - Page 230: 4

Answer

Thus, 26.4 million participated in swimming, while 14.5 million people participated in running.

Work Step by Step

We first write the two equations: $s=2r-2.6$ $s+r=40.9$ Note, the numbers are in millions. We substitute to find: $(40.9-r)=2r-2.6$ This gives: $3r=43.5$ $r=14.5$ This means that the number of women, in millions, who participated in swimming is: $s=40.9-14.5=26.4 $ Thus, 26.4 million participated in swimming, while 14.5 million people participated in running.
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