During a basketball game, the home team scored 32 points from normal shots, 18 points from three-point shots, and 16 points from free throws. Which of the following expresses the ratio of the points earned from normal shots to the total points in three different ways? A. 9:33; 9 to 33; 9⁄33 B. 33:16; 33 to 16; 33⁄16 C. 8:33; 8 to 33; 8⁄33 D. 16:33; 16 to 33; 16⁄33

Respuesta :

total points = 32 + 18 + 16 = 66 points

the normal shots are worth 2 points each.

So there were 9 normal shots that scored.

18/66 = 9/33

18 to 66

9/33

The answer should be A

B has it the wrong way around.

C I don't know how C was derived, but it is not correct.  They must be talking about free throws and dividing by two.

D is also about free throws.

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Number of points they score from normal shots = 32

Number of points they score from three point shots = 18

Number of points they score from free throws = 16

Total points is given by

[tex]32+16+18=66[/tex]

so, Ratio of points earned from normal shots to the total points is given by

[tex]32:66\\\\=16:33\\\\or\\\\\dfrac{16}{33}\\\\or\\\\16\ to\ 33[/tex]

Hence, option 'D' is correct.