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?
x = 3 point shots
x * 3x = 8
4x = 8
x = 2
you cheaters stay in school and think dot ask
Do the math your selves you K12's!
To figure out how many 2-point shots Sarah made, we can set up a system of equations based on the given information.
Let's call the number of 2-point shots Sarah made "x", and the number of 3-point shots she made "y".
According to the problem, Sarah made three times as many 2-point shots as 3-point shots. So, we can write the equation:
x = 3y
We also know that Sarah made 8 shots in total, so we can write another equation:
x + y = 8
Now, we can solve this system of equations to find the values of x and y.
Substituting x = 3y into the second equation, we get:
3y + y = 8
Combining like terms, we have:
4y = 8
Dividing both sides of the equation by 4, we find:
y = 2
Now, we can substitute this value back into the first equation to find x:
x = 3 * 2
x = 6
Therefore, Sarah made 6 two-point shots.