Respuesta :
Answer:
3 , 6 , 4
Step-by-step explanation:
Given:
There are three groups of shots in basketball.
First group carry = 1 point
Second group carry = 2 points
Third group carry = 3 points
Sarah scored a total of 25 points by making 13 total baskets.
She made twice as many 2 point shots as she did 3 point shots.
Question asked:
How many of each type of shot did she make ?
Solution:
Let number of baskets, she made which carry 3 points = [tex]x[/tex]
Then, number of baskets, she made which carry 2 points = [tex]2x[/tex]
Total number of baskets, she made = 13
Then, number of baskets, she made which carry 1 points = [tex]13-(x+2x)=13-3x[/tex]
Now,
Sarah scored a total number of points = 25
[tex]3\times x+2\times2x+1(13-3x)=25\\3x+4x+13-3x=25\\4x+13=25[/tex]
Subtracting both sides by 13
[tex]4x=25-13\\4x=12[/tex]
Dividing both sides by 4
[tex]x=3[/tex]
By substituting the value:-
Number of baskets, she made which carry 3 points = [tex]x[/tex] = 3
Number of baskets, she made which carry 2 points = [tex]2x[/tex] = [tex]2\times3=6[/tex]
Number of baskets, she made which carry 1 points = [tex]13-3x=13-3\times3=13-9=4[/tex]
Thus, she made 3 baskets of 3 points, 6 baskets of 2 points and 4 baskets of 1 point.
