Respuesta :
Answer:
They make 31 two point shots and 6 three point shots.
Step-by-step explanation:
Given:
The meridian girls basketball team scored a total of 80 points in a basketball game.
Now, to find the two point shots and three point shots they make.
Let the 2 point shots be [tex]x.[/tex]
And let the 3 point shots be [tex]y.[/tex]
So, the total baskets:
[tex]x+y=37[/tex]
[tex]x=37-y[/tex] ....(1)
And, the total points:
[tex]2x+3y=80[/tex]
Substituting the value of [tex]x[/tex] from equation (1):
[tex]2(37-y)+3y=80\\\\74-2y+3y=80\\\\74+y=80[/tex]
Subtracting both sides by 74 we get:
[tex]y=80-74[/tex]
[tex]y=6[/tex]
The 3 point shots = 6.
Now, substituting the value of [tex]y[/tex] in equation (1):
[tex]x=37-y\\\\x=37-6\\\\x=31.[/tex]
The 2 point shots = 31.
Therefore, they make 31 two point shots and 6 three point shots.
