Chapter 0.2, Problem 17E

To determine

To calculate:have to find the total amount.

Answer to Problem 17E

The total amount Lawanda’s paycheck is $ 119.

Explanation of Solution

Given Information: Amount in savings $=S=\$15$

Amount spent on concert ticket $=M=\$24$

How much was left $=N=\$14$

Suppose the total amount of paycheck = T

Amount spent on clothes $=C=\frac{1}{2}\left(T-S\right)$

Amount spent on book $=B=\frac{1}{2}\left(T-S-C-M\right)$

Now, total amount, $T=S+C+M+B+N\mathrm{...}\left(\text{i}\right)$

Putting the value of S, C , M, B , N in equation (i), we get

Calculation:

  $\Rightarrow T=\frac{1}{2}\left(T-15\right)+24+\frac{1}{2}\left[T-15-\frac{1}{2}\left(T-15\right)-24\right]+14$

  $\Rightarrow T=29.75+0.75T$

  $\Rightarrow T-0.75T=29.75$

  $\Rightarrow 0.25T=29.75$

  $\Rightarrow T=\frac{29.75}{0.25}=119$