In the basketball game, Sarah made three times as many 2-point shots as 3-point shots. She made 8 shots in all. How many 2-point shots did she make?
If she made x 3-pointers, then she made 3x two-pointers.
x+3x = 8
x = 2
So, 2 3-pt and 6 2-pt
To find out how many 2-point shots Sarah made, let's set up a system of equations based on the given information.
Let's assume Sarah made x 3-point shots.
Since Sarah made three times as many 2-point shots as 3-point shots, she made 3x 2-point shots.
According to the problem, Sarah made a total of 8 shots. So we can write the equation:
x + 3x = 8
Combining like terms:
4x = 8
To isolate x, divide both sides of the equation by 4:
4x/4 = 8/4
x = 2
So Sarah made 2 3-point shots.
Now, let's find out the number of 2-point shots Sarah made:
Since Sarah made three times as many 2-point shots as 3-point shots, she made 3 times 2 = 6 2-point shots.
Therefore, Sarah made 6 2-point shots.