Understand the Problem
The image shows an exercise from a mathematics book dealing with linear equations and numbers. It includes examples and exercises that pertain to solving for unknowns in various word problems involving relationships between numbers.
Answer
The number is $25$.
Answer for screen readers
The number is $25$.
Steps to Solve
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Identify the variables Let the number be represented as $x$.
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Set up the equation Based on the statement "One-fifth of a number is 5," we can express this mathematically as: $$ \frac{x}{5} = 5 $$
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Solve for $x$ To solve for $x$, multiply both sides by 5: $$ x = 5 \times 5 $$
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Final calculation Calculating the right-hand side gives: $$ x = 25 $$
The number is $25$.
More Information
The equation illustrates the basic principle of algebra where isolating the variable allows us to find its value.
Tips
- Forgetting to multiply both sides of the equation correctly.
- Not simplifying fractions properly before solving.
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