Handicap between B and C (200-point base): In a 200-point game, A gives B 40 and A gives C 56. How many points can B give C?

Introduction / Context:
Convert handicaps to ratios and infer B:C. Then compute the start B can give C on the same 200-point base for comparison.

Given Data / Assumptions:

• A:B = 200:160 = 5:4
• A:C = 200:144 = 25:18

Concept / Approach:
B:C = (A:C)/(A:B) = (25/18)/(5/4) = (25/18)*(4/5) = 10/9. When B scores 200, C would score 180; the difference is B’s start to C.

Step-by-Step Solution:

Verification / Alternative check:
Ratios reduce properly and remain consistent across scaling.

Why Other Options Are Wrong:
They are inconsistent with B:C = 10:9 on the 200-point base.

Common Pitfalls:
Subtracting handicap numbers directly without ratio conversion.

Final Answer:
20 points