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If 30% of a number is 150, what is the number?

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Question: If 30% of a number is 150, what is the number?

Options:

  1. 400
  2. 450
  3. 500
  4. 600

Correct Answer: 450

Solution: 

Let the number be x. Then, 0.3x = 150. Therefore, x = 150 / 0.3 = 500.

If 30% of a number is 150, what is the number?

Practice Questions

Q1
If 30% of a number is 150, what is the number?
  1. 400
  2. 450
  3. 500
  4. 600

Questions & Step-by-Step Solutions

If 30% of a number is 150, what is the number?
Correct Answer: 500
  • Step 1: Understand that 30% means 30 out of 100, or 0.3 in decimal form.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation for 30% of 'x': 0.3 * x = 150.
  • Step 4: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.3.
  • Step 5: Perform the division: x = 150 / 0.3.
  • Step 6: Calculate the result: 150 divided by 0.3 equals 500.
  • Step 7: Therefore, the number is 500.
  • 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 an equation, specifically isolating x in the equation 0.3x = 150.
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