Answer:
Ok, let's define the notation:
A is the number of 2-point field goals that your team scored.
B is the number of 3-point field goals that your team scored:
We know that:
" your team scored three times as many 2-point field goals than it did 3-point field goals,"
This can be written as:
A = 3*B
" And scored a total of 90 points."
A*2 + B*3 = 90
Then we have a system of two equations and two variables:
A = 3*B
A*2 + B*3 = 90
Now we can replace the first equation into the second one and get:
(3*B)*2 + B*3 = 90
B*6 + B*3 = 90
B*9 = 90
B = 90/9 = 10
And we know that:
A = 3*B
A = 3*10 = 30
Then your team scored 30 2-point field goals and 10 3-point field goals (a total of 40 if you combine them)
