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A student receives an award of $1200, which is 30% of the total amount awarded.

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Question: A student receives an award of $1200, which is 30% of the total amount awarded. What is the total amount awarded? (2021)

Options:

  1. $3000
  2. $3600
  3. $4000
  4. $4200

Correct Answer: $3600

Exam Year: 2021

Solution: 

Let the total amount be x. Then, 0.3x = 1200. Therefore, x = 1200 / 0.3 = $4000.

A student receives an award of $1200, which is 30% of the total amount awarded.

Practice Questions

Q1
A student receives an award of $1200, which is 30% of the total amount awarded. What is the total amount awarded? (2021)
  1. $3000
  2. $3600
  3. $4000
  4. $4200

Questions & Step-by-Step Solutions

A student receives an award of $1200, which is 30% of the total amount awarded. What is the total amount awarded? (2021)
  • Step 1: Understand that the student received $1200, which is 30% of the total amount awarded.
  • Step 2: Let the total amount awarded be represented by 'x'.
  • Step 3: Write the equation to represent the situation: 0.3 * x = 1200.
  • Step 4: To find 'x', divide both sides of the equation by 0.3: x = 1200 / 0.3.
  • Step 5: Calculate the division: 1200 divided by 0.3 equals 4000.
  • Step 6: Conclude that the total amount awarded is $4000.
  • Percentage Calculation – Understanding how to calculate the total amount from a given percentage of that amount.
  • Algebraic Manipulation – Using algebra to isolate variables and solve for unknowns.
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