Chapter 1.1, Problem 16E

To determine

An equation to find your final score

Answer to Problem 16E

The equation is $x=195-12$

The solution is $x=183$

Explanation of Solution

Given:

You and a friend are playing a board game. Your final score x is 12 points less than your friend’s final score. Your friend’s final score is 195.

Calculation:

Your final score is x .

Again, your final score is 12 points less than your friend’s final score which is 195.

That is, your final score is $195-12$ .

Then, the equation for your final score is $x=195-12$ .

Solving the equation,

  $\begin{array}{l}x=195-12\\ \Rightarrow x=183\end{array}$

Hence, your final score is 183.

Thus the equation is $x=195-12$ and the solution is $x=183$ .