Answer:
(2b - 5) + b + (b + 80) = 983
Step-by-step explanation:
Given that,
Total score of three teams = 983
Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.
So,
The scores of Team A = (2 * b) - 5
The scores of Team B = b
The scores of Team C = (b + 80)
Thus,
The equation for determining the total points of Team B would be:
(2b - 5) + b + (b + 80) = 983
On solving,
(2b - 5) + b + (b + 80) = 983
⇒ 2b + b + b = 983 + 5 - 80
⇒ 4b = 908
⇒ b = 908 ÷ 4
⇒ b = 227
Team B's score = 227
Team A's score = (2 * 227 - 5)
= 449
Team C's score = 227 + 80
= 307
Total ⇒ 449 + 227 + 307 = 983
Hence proved.
