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If 40% of a number is 80, what is the number?

Practice Questions

Q1
If 40% of a number is 80, what is the number?
  1. 150
  2. 200
  3. 250
  4. 300

Questions & Step-by-Step Solutions

If 40% of a number is 80, what is the number?
Correct Answer: 200
  • Step 1: Understand that 40% means 40 out of 100, or 0.4 in decimal form.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation for 40% of 'x': 0.4 * x = 80.
  • Step 4: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.4.
  • Step 5: Perform the division: x = 80 / 0.4.
  • Step 6: Calculate 80 divided by 0.4, which equals 200.
  • Step 7: Conclude that the number is 200.
  • Percentage Calculation – Understanding how to calculate a percentage of a number and how to set up an equation based on that percentage.
  • Algebraic Manipulation – Solving for a variable in a linear equation.
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