Answer:
Louie Dampier made 794 three-point baskets, 4496 two-point-baskets, and 2352 free throws.
Step-by-step explanation:
Let x,y, and z be the numbers of 3 point basket, 2 point basket, and one point free throws respectively.
The total points he scored is 13,726,
[tex]\Rightarrow 3x+2y+z=13726\;\cdots(i)[/tex]
As Dampier made 2,144 more two-point baskets than free throws,
[tex]\Rightarrow y=z+2144\;\cdots(ii)[/tex]
He also made 1,558 more free throws than three-point baskets,
[tex]\Rightarrow z=x+1558[/tex]
[tex]\Rightarrow x=z-1558\;\cdots(iii)[/tex]
Now, putting the values of equations (ii) and (iii) in the equation (i), we have
[tex]3(z-1558)+2(z+2144)+z=13726[/tex]
[tex]\Rightarrow 6z=14112[/tex]
[tex]\Rightarrow z=\frac{14112}{6}=2352[/tex]
From equation (ii),
y=2352+2144=4496
From equation (iii),
x=2352-1558=794.
Hence he made 794 three-point baskets, 4496 two-point-baskets and, 2352 free throws.
Answer:
x=2352-1558=794.
Hence he made 794 three-point baskets, 4496 two-point-baskets and, 2352 free throws.
