Question

At a high school basketball game the lions and the eagles are playing. the lions attempted 16 free throws and made 13, attempted 51 two-point shots and made 22, and attempted 16 three-point shots and made 10. the eagles attempted 27 free throws and made 7, attempted 41 two-point shots and made 19, and attempted 16 three-point shots and made 7. (free throws are worth 1 point each, two-point shots worth 2 points each, and three-point shots worth 3 points each) what is the free throw percentage for the lions? number % (round the final percentage to one decimal place) what is the free throw percentage for the eagles? 025.9 % (round the final percentage to one decimal place) what is the field goal percentage (two-point and three-point shots combined) for the lions? number % (round the final percentage to one decimal place) what is the field goal percentage (two-point and three-point shots combined) for the eagles? number % (round the final percentage to one decimal place) how many points did the lions score? number how many points did the eagles score?

Answer 1

Answer:

a. The free throw percentage obtained by the Lions is of 81.25%.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

Solution:

a. The lions attempted 16 free throws and made 13, which means lions scored 13 out of 16,

The free throw percentage obtained by the Lions = $\frac{13}{16}$ × 100 = 81.25%

The free throw percentage obtained by the Lions is 81.25%

b. The eagles attempted 27 free throws and made 7 which means 7 out of 27, so:

The free throw percentage obtained by the eagles = $\frac{7}{27}$ × 100 = 25.92 %

The free throw percentage obtained by the eagles is 25.92 %

c. The lions attempted 51 two-point shots and made 22, and attempted 16 three-point shots and made 10.

Total attempted = 51 + 16 = 67

Total shots made = 22 + 10 = 32

The field goal percentage (two-point and three-point shots combined) for the Lions = $\frac{32}{67}$ × 100 = 47.76 %

The field goal percentage for the Lions was of 47.76 %.

d. The eagles attempted 41 two-point shots and made 19, and attempted 16 three-point shots and made 7.

Total attempted = 41 + 19 = 60

Total shots made = 19 + 7 = 26

The field goal percentage (two-point and three-point shots combined) for the eagles= $\frac{32}{67}$ × 100 = 43.33 %

The field goal percentage for the eagles was of 43.33 %.

e. Total goals secured by lions 13 free throws, 22 two's and 10 three's. So

Total points = 10 × 1 + 22 × 2 + 10 × 3 = 84

The Lions scored 84 points.

f. Total goals secured by eagles 7 free throws, 19 two's and 7 three's. So

Total points = 7 × 1 + 19× 2 + 7 × 3 = 66

The eagles scored 66 points.

What is percentage?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Know more about percentage problems brainly.com/question/15583541

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