Question

Chuck was the leading scorer of the 2009 league champions. Chuck scored a total of 670 points during the 2009 season. He made 72 more ​one-point free throws than​ two-point field​ goals, and his number of​ two-point field goals was nine less than 25 times his number of​ three-point field goals. How many free​ throws, two-point field​ goals, and​ three-point field goals did Chuck make during the 2009​ season?

Answer 1

Answer:

a = 263.32

b = 191.32

C = 8.01

Step-by-step explanation:

Given that :

Total points scored = 670

2 point goals = b

1 point goals = a

3 point goals = c

a + b + c = 670

a = 72 + b - - - (1)

b = 25c - 9 - - - (2)

From (2)

25c = b + 9 ; c = (b + 9) / 25

(72 + b) + 2(b) + 3(b + 9)/25 = 670

72 + b + 2b + 3(b + 9) / 25 = 670

72 + 3b + 3(b + 9) / 25 = 670

(1800 + 75b + 3b + 27) / 25 = 670

78b / 25 + 1827 / 25 = 670

(78b + 1827) / 25 = 670

78b + 1827 = 16750

b = (16750 - 1827) / 78

b 191.32

a = 72 + 191.32 = 263.32

c = (191.23 + 9) / 25 = 8.01