Question

1. the average number of points a basketball team scored for three games was 63 points. in the first two games, they scored the same number of points, which was 6 points more than they scored in the third game. write and solve an equation to find the number of points the team scored in each game.

Explanation:

Step1: Let the number of points in the first - two games be $x$ each.

The number of points in the third game is $x - 6$.

Step2: Set up the average formula.

The average of the three - game scores is $\frac{x + x+(x - 6)}{3}=63$.

Step3: Simplify the left - hand side of the equation.

First, combine like terms in the numerator: $\frac{3x-6}{3}=63$. Then, simplify the fraction: $x - 2=63$.

Step4: Solve for $x$.

Add 2 to both sides of the equation: $x=63 + 2=65$.

Step5: Find the number of points in the third game.

The number of points in the third game is $x - 6=65 - 6 = 59$.

Answer:

The team scored 65 points in the first two games and 59 points in the third game.