Chapter PS, Problem 4.2P

To determine

To find: The amount of Lawanda’s paycheck.

Answer to Problem 4.2P

The amount of Lawanda’s paycheckis $\$245$ .

Explanation of Solution

Given information:

The saving of Lawanda is $\$15$ , one-half of the money left is spent on the clothes, the money spent on concert ticket is $\$24$ , the haft of the money left is spend on the book, and the money left is $\$14$

Consider the amount of the paycheck of Lawanda be $\$x$ .

As per the given condition,

  $\begin{array}{l}x=15+\frac{1}{2}\left(x-15\right)+24+\frac{1}{2}\left(x-\frac{1}{2}\left(x-15\right)+24\right)+14\\ x=15+0.5x-7.5+24+0.5x-0.25x+3.75+12+14\\ x=0.75x+61.25\\ x=\$245\end{array}$

Thus, the amount of Lawanda’s paycheck is $\$245$ .