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The tank's side is marked in equal parts. The water is at the level shown. After 45 litres are poured in, it reaches the dashed orange line. What is the tank's full capacity?

Class 8Linear Equations in One VariableLinear Equations
  • A60 litres
  • B90 litres
  • C120 litres
  • D360 litres

Step-by-Step Solution

The tank has 8 equal parts: water rises from to . So litres. (60 litres solves , forgetting the water already there.)
Answer: C) 120 litres

Key idea: The five-step recipe

For any linear equation in one variable, follow this order:

1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.

Then **verify** by substituting back into the original equation. Always.

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