In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. if there were 45 baskets in a game and 96 points total, how many regular baskets r and long-distance baskets l were made
Let x: number of regular basketball y: number of long-distance basket We have the following system of equations: 2x + 3y = 96 x + y = 45 Solving the system we have y = 45-x 2x + 3 (45-x) = 96 2x +135 -3x = 96 -x = 96 -135 x = 39 Then, y = 45-x y = 45-39 y = 6 answer were made regular baskets = 39 long-distance baskets = 6
