Question

In a basketball game, a team scored a combination of 3 point, 2 point, and 1 point shot. They scored 81 points on 40 total baskets and scored 14 more two point shots than three-point shots. How many of each type of shot did they make? 

Answer 1

To find the number of each type of shot made, we need to set up an equation based on the information given. Solving this equation will give us the values for each type of shot.

Step-by-step explanation:

Let's assume the number of three-point shots made as 'x'. Therefore, the number of two-point shots made would be 'x+14' as given in the question. Since a total of 40 baskets were made and 'x' represents the number of three-point shots made, then the number of one-point shots made would be '40 - (x + (x + 14))'.

We can now form an equation based on the points scored by each type of shot: 3x + 2(x+14) + 1(40 - (x + (x + 14))) = 81. Solving this equation, we find that x = 10. Therefore, the team made 10 three-point shots, 24 two-point shots, and 6 one-point shots.

Learn more about Basketball scoring