Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.5 Use Problem Solving Strategies and Models - 1.5 Exercises - Problem Solving - Page 39: 31

Answer

The number of boxes of books is $8$ and the number of boxes of clothes is $12$.

Work Step by Step

Let $x$ be the number of boxes of books. Then the number of boxes of clothes is $20-x$. Then our equation is: $40x+(20-x)7=404\\40x+140-7x=404\\33x=264\\x=8$. Thus the number of boxes of books is $8$ and the number of boxes of clothes is $12$.
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