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If 25% of a number equals 76, what is the original number?

  1. 128

  2. 204

  3. 304

  4. 380

The correct answer is: 304

To find the original number when 25% of it equals 76, you can set up the equation based on the definition of percentage. First, understand that 25% of a number can be expressed as multiplying the number by 0.25 (which is the decimal equivalent of 25%). So, if we denote the unknown number as \( x \), the equation would be: \[ 0.25x = 76 \] To isolate \( x \), you can divide both sides of the equation by 0.25: \[ x = \frac{76}{0.25} \] Calculating this gives: \[ x = 76 \div 0.25 = 76 \times 4 = 304 \] This is how you determine that the original number is 304. In this context, understanding percentages and how to convert them into mathematical equations is crucial. The calculations show that when correctly manipulated, 25% leads you right back to the original whole number, reinforcing the concept of proportions.