In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. How many points did Team B score?
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Given:
- Total points scored by Team B: b
- Equation representing the scenario: (2b – 5) + b + (b + 80) = 983
To Find:
- Value of b
Solution:
(2b – 5) + b + (b + 80) = 983
(Opening brackets and rearranging)
4b + 80 - 5 = 983
4b = 983-75
4b=908
b=227
Hence, Team B scored 227 points.
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