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A school pays ₹1,600 to hire a bus for a picnic, plus ₹400 per student for the entry ticket and lunch. The bill comes to ₹6,400. How many students went?

Class 7Simple EquationsSimple Equations
  • A16
  • B20
  • C12
  • D4

Step-by-Step Solution

Let s students go. 400s + 1600 = 6400 → 400s = 4800 → s = 12. Check: 400(12) = ₹4,800, plus the ₹1,600 bus hire = ₹6,400 ✓. Answer 16 divides the whole bill by ₹400 and forgets the bus; 20 adds the ₹1,600 instead of subtracting it; 4 divides the bus hire by the per-student cost.
Answer: C) 12

Key idea: Translating word problems into equations

Three steps:
1. **Pick a variable** for the unknown ('let be the number of …').
2. **Translate the words into an equation** using the operations the problem describes.
3. **Solve and answer in the original units.**

Example: 'Three times a number plus 7 equals 22. Find the number.'
Let = the number. Equation: . Solve: .
Answer: the number is 5.

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