College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.1 - Systems of Linear Equations in Two Variations - 5.1 Exercises - Page 447: 62

Answer

$1500$ children and $700$ adults entered.

Work Step by Step

Let $x$ be the number of children entered. Then the number of adults entered is $2200-x$. Then our equation is: $1.5x+4(2200-x)=5050\\1.5x+8800-4x=5050\\2.5x=3750\\x=1500$ Thus, $1500$ children and $2200-1500=700$ adults entered.
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