數學國一，請協助~謝謝!?

Question

Answer 1

最佳解答

甲: x, 乙: y, 丙: z, 丁: u, 戊: v

x = (1/4)(y+z+u+v)     

y = (3/22)(x+z+u+v)

z = (4/21)(x+y+u+v)

u = (6/19)(x+y+z+v)

v = 70

設 T = x+y+z+u+v. 則前面4方程式可寫成:

(5/4)x     = (1/4)T,

(25/22)y = (3/22)T

(25/21)z = (4/21)T

(25/19)u = (6/19)T

所以,

x = (1/5)T, y = (3/25)T, z = (4/25)T, u = (6/25)T

則

T = (1/5 + 3/25 + 4/25 + 6/25)T + 70

移項, 化簡, 得:

(7/25)T = 70

解得 T = 250. 故,

x + y + z + u = 250 - 70 = 180

甲、乙、丙、丁四人合計投籃 180 次.