The number of points that Pedro scored in the basketball game is represented by the equation 4y = 104z. In this equation, y represents the total number of points and z represents number of games. How many points did Pedro average per game?

Points per game

1 answer

We start with the equation given:

\[ 4y = 104z \]

To find the average points per game, we first need to solve for \(y\) (the total number of points) in terms of \(z\) (the number of games). We can do this by dividing both sides of the equation by 4:

\[ y = \frac{104z}{4} \]

Now we simplify the right side:

\[ y = 26z \]

Next, to find the average points per game, we can calculate \( \frac{y}{z} \):

\[ \text{Average points per game} = \frac{y}{z} = \frac{26z}{z} \]

Since \(z\) (the number of games) is not zero, we can simplify this further:

\[ \text{Average points per game} = 26 \]

Thus, Pedro averaged 26 points per game.