Chapter 8.6, Problem 58CCR

To determine

Find the number of games Phillips did win.

Answer to Problem 58CCR

The number of games Philadelphia Phillies won: $102\text{games}$

Explanation of Solution

Given:

In a recent season of major league baseball, the Philadelphia Phillies won 13 more games than the Atlanta Braves. Together, the two teams won a total of 191 games. How many games did Phillips win?

Concept Used:

In a recent season of major league baseball, the Philadelphia won 13 more games than the Atlanta Braves. Together, the two teams won a total of 191 games

Translate the statement into an equation.

Let the number of games Atlanta Braves won = x

The Philadelphia won 13 more games than the Atlanta Braves.

The number of games Philadelphia Phillies won = $13+x$

Together, the two teams won a total of 191 games

The required equation: $13+x+x=191$

Calculation:

The required equation: $13+x+x=191$

Now solve for x

  $\begin{array}{l}13+x+x=191\\ 13+2x=191\\ 13-13+2x=191-13\\ 2x=178\\ \frac{2x}{2}=\frac{178}{2}\\ x=89\end{array}$

The number of games Philadelphia Phillies won: $89+13=102\text{games}$

Thus, the number of games Philadelphia Phillies won: $102\text{games}$