Question

In the basketball game, the Buffalo made a total of 25 shots. Some of the shots are 2- point shots while others are 3- point shots. If the Buffalo scored a total of 57 points, how many were 2-point shots?

Answer 1

To find the number of 2-point shots made by the Buffalo basketball team, we can set up a system of equations and solve for the variables x and y. By substituting the value of x back into the first equation, we find that the Buffalo made 18 2-point shots.

Step-by-step explanation:

To solve this problem, let's assume that the Buffalo made x 2-point shots and y 3-point shots. We can set up two equations to represent the given information: x + y = 25 (the total number of shots) and 2x + 3y = 57 (the total number of points). We can then solve this system of equations to find the values of x and y.

By substituting the value of x from the first equation into the second equation, we get 2(25 - y) + 3y = 57. Simplifying this equation, we get 50 - 2y + 3y = 57. Combining like terms, we have y = 7.

Substituting the value of y back into the first equation, we get x + 7 = 25. Solving for x, we find x = 18. Therefore, the Buffalo made 18 2-point shots.

Answer 2

Let's let x be the number of 3-point shots made.

Let's let y be the number of 2-point shots made.

So, then we have:

x+y = 25

And we have

3*x + 2*y = 57

So, we can solve this by substitution. Solving the first equation for x:

x=25-y

Now, plugging into the second equation:

3*(25-y) + 2*y = 57

Simplifying:

75-3y+2y = 26

75-57 = y

y=18

So the player made 18 2-point should and 7 3-point shots for a total of 57 points!