Finding the Unknown Number
This problem requires us to find a specific number based on a given condition involving percentages and addition.
Let the unknown number be represented by the variable x.
Setting Up the Equation
The question states that when 38 is added to 30% of a number, the result is 50. We can translate this into a mathematical equation:
$ 38 + (30\% \times x) = 50 $
To work with the percentage, we convert it to a decimal:
$ 30\% = \frac{30}{100} = 0.30 $
So the equation becomes:
$ 38 + 0.30x = 50 $
Solving the Equation Step-by-Step
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Isolate the term containing the variable x. Subtract 38 from both sides of the equation:
$ 0.30x = 50 - 38 $
$ 0.30x = 12 $
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Solve for x. Divide both sides by 0.30:
$ x = \frac{12}{0.30} $
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Calculate the final value:
$ x = 40 $
Conclusion
The number is 40. We can check this: 30% of 40 is $0.30 \times 40 = 12$. Adding 38 to this gives $38 + 12 = 50$, which matches the condition given in the question.
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