Chapter 0.3, Problem 23E

To determine

The amount left with Talia to spend on entertainment.

Answer to Problem 23E

The amount left with Talia to spend on entertainmentis $\$125$ .

Explanation of Solution

Given information:

Monthly income of Talia is $\$500$ . She allocates $\$200$ for savings, $\$100$ for vehicle expenses and $\$75$ for clothing.

Formula used:

Transform any situation into mathematical algebraic expression and then evaluate according to the situation.

Calculation:

It is provided that monthly income of Talia is $\$500$ . She allocates $\$200$ for savings, $\$100$ for vehicle expenses and $\$75$ for clothing.

Let $\$x$ is allocated for entertainment.

Now, amount allocated for savings, vehicle expense, clothing and entertainment is equal to its monthly income.

Therefore,

  $\begin{array}{c}500=200+100+75+x\\ 500=375+x\\ x=500-375\\ x=125\end{array}$

Thus, the amount left with Talia to spend on entertainment is $\$125$ .