Chapter 6.3, Problem 37STP

To determine

Calculate the cost of dinner alone.

Answer to Problem 37STP

The cost of the dinner is $38$ .

Explanation of Solution

Given:

It is given in the question that the cost of Nate’s dinner including a $15\%$ tip was $\$43.70$ .

Concept Used:

In this, use the concept of percent equation and the equation is $Part=Percent\cdot Whole$ .

Calculation: If Nate added a $15\%$ , then he paid, in total, $115\%$ of cost of dinner. Thus, of the cost was y,

In this, the part and the percent are given, looking for a whole. Let y represent whole.

  $\begin{array}{l}Part=Percent\cdot Whole\\ 43.70=115\%\cdot y\\ 43.70=1.15\cdot y\\ y=\frac{43.70}{1.15}\\ y=38\end{array}$

Conclusion:

The cost is $38$ .