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

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!