In the first half of a basketball game, a team scored 60 points on combination of two-point shots and three-point shots. If they made a total of 27 shots, how many of each kind of shot was made?

Answer 1

Let x be the number of two-point shots made and y be the number of three-point shots made.

From the given information, we know that:
x + y = 27 (total shots)
2x + 3y = 60 (total points)

We can solve this system of equations using substitution or elimination method.

Let's use the elimination method:
Multiply the first equation by 2: 2x + 2y = 54
Subtract this new equation from the second equation:
2x + 3y - (2x + 2y) = 60 - 54
y = 6

Now, substitute y = 6 back into the first equation:
x + 6 = 27
x = 21

Therefore, there were 21 two-point shots made and 6 three-point shots made.