Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Cumulative Review Exercises - Page 1128: 40


The cost of a pen is $\$1.8$ and a pad is $\$2$.

Work Step by Step

Let us assume the cost of one pen is $ x $ and one pad is $ y $. From the given data: $10x+12y=42$ (I) $5x+10y=29$ (II) And subtract (I) from 2*(II) as: $\begin{align} & 10x+20y-10x-12y=58-42 \\ & 8y=16 \\ & y=2 \end{align}$ And to get the value of $ x $ put $ y=2$ in (I) as: $\begin{align} & 10x+12\left( 2 \right)=42 \\ & 10x=42-24 \\ & 10x=18 \\ & x=1.8 \end{align}$ Thus, the cost of a pen is $\$1.8$ and a pad is $\$2$.
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