A chess club charges a joining fee of ₹200 plus ₹50 for every match played. If a player paid ₹750, how many matches did he play?

Step-by-step solution

Idea: Set the linear polynomial equal to the amount paid. This gives a linear equation; solve it for m.

1. 200 + 50m = 750½ mark
2. Take away the joining fee: 50m = 750 − 200 = 550.½ mark
3. m = 550 ÷ 50 = 11.½ mark
4. So he played 11 matches.½ mark

Check: 200 + 50 × 11 = 200 + 550 = 750 ✓.

Answer to write in the exam

Common mistakes that cost marks

• Dividing 750 by 50 directly to get 15. The ₹200 joining fee must be taken away first.
• Adding 200 instead of subtracting: 50m = 950.
• Stopping at 50m = 550 and giving 550 as the answer.

How this can come in the exam

Try one yourself

Using the same chess club charges, how many matches did a player play if he paid ₹1200?

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