Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 373: 20


28 years in sleeping and 4 years in eating.

Work Step by Step

Let the number of years spent on sleeping be\[S\]. Let the number of years spent on eating be\[E\]. From the given first condition, we get the linear equation like, \[S+E=32\] (I). From the second condition, we get the linear equation like: \[S=E+24\] (II) By observing, these both equations are simultaneous linear equations. We can solve by substituting S in equation (I). By substituting we get: \[\begin{align} & E+24+E=32 \\ & 2E=8 \\ & E=4 \end{align}\] Substituting \[E=4\] in equation (I) we get: \[\begin{align} & S+4=32 \\ & S=28 \end{align}\] By solving both equations, we get number of years spent in sleeping is 28 and number of years spend in eating is 4 years.
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