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To solve , Sneha wrote and gave the answer . What went wrong?

Class 7Simple EquationsSimple Equations
  • AShe should have multiplied both sides by 8, giving
  • BShe should have subtracted 8 from both sides, giving
  • CNothing is wrong; satisfies the equation
  • DShe divided only the left side; dividing 96 by 8 as well gives

Step-by-Step Solution

Dividing one pan of a balance and not the other tips it. Dividing BOTH sides by 8 gives , and 8(12) = 96 ✓. Multiplying by 8 goes the wrong way, and subtracting 8 is the wrong inverse altogether — a multiplication is undone by division, never by subtraction. (Her gives 8(96) = 768, not 96.)
Answer: D) She divided only the left side; dividing 96 by 8 as well gives

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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