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A student receives an award of $1200, which is 30% of the total amount allocated
A student receives an award of $1200, which is 30% of the total amount allocated for awards. What is the total amount allocated? (2021)
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A student receives an award of $1200, which is 30% of the total amount allocated for awards. What is the total amount allocated? (2021)
$3000
$4000
$5000
$6000
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Let total amount be x. Then, 0.3x = 1200. Therefore, x = 1200 / 0.3 = $4000.
Questions & Step-by-step Solutions
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Q
Q: A student receives an award of $1200, which is 30% of the total amount allocated for awards. What is the total amount allocated? (2021)
Solution:
Let total amount be x. Then, 0.3x = 1200. Therefore, x = 1200 / 0.3 = $4000.
Steps: 6
Show Steps
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.
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