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

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

Options:

Correct Answer: $4000

Exam Year: 2021

Solution:

Let 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 allocated for awards. What is the total amount allocated? (2021)

A student receives an award of $1200, which is 30% of the total amount allocated for awards. What is the total amount allocated? (2021)

Step 1: Understand that the student received $1200, which is 30% of the total amount allocated for awards.
Step 2: Let the total amount allocated be represented by 'x'.
Step 3: Write the equation that represents 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 allocated for awards 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.