Answer:
10
Step-by-step explanation:
This problem can be solved with a system of equations...
Lets say that x is the number of free throws worth one point that Rachel made and that y is the number of two-point field goals that Rachel made.
We know that Rachel scored 21 times, so
x + y = 21.
We also know that Rachel scored 31 points, and each field goal made(y) is worth two points, so
x + 2y = 31
Now, to find the number of 2-point field goals she made, we need to solve the following system,
1)x + y = 21
2)x + 2y = 31
Our value of interest is y, so we can write x as function of y, from equation 1) and replacing it in equation 2)
So
x = 21 - y
Replacing in 2)
21 - y + 2y = 31
y = 31-21
y = 10
So, Rachel Newton made 10 2-point field goals.
