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At a Diwali party a packet of 76 sweets is shared equally among 8 children, and 4 sweets are left over. How many sweets did each child get?

Class 7Simple EquationsSimple Equations
  • A10
  • B9
  • C72
  • D8

Step-by-Step Solution

Let each child get s sweets. The 8 shares plus the 4 left over make the whole packet: 8s + 4 = 76 → 8s = 72 → s = 9. Check: 8(9) + 4 = 76 ✓. Answer 10 adds the 4 leftover sweets instead of setting them aside; 72 stops before dividing by 8; 8 repeats the number of children instead of the share.
Answer: B) 9

Key idea: Two-sided equations: variable on both sides

When the variable appears on both sides, gather all variable terms on one side and all constants on the other.

Example: .
Move to the left (flip):
Simplify:
Move +3:
Divide: .

**Verify**: ; ✓.

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