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Questions and Answers
What is the value of x if 36% of 4800 multiplied by 0.2% of 1320 equals x?
What is the value of x if 36% of 4800 multiplied by 0.2% of 1320 equals x?
If 18% of 250 plus 25% of 144 equals 54, what value of y should be substituted into the equation y = ?
If 18% of 250 plus 25% of 144 equals 54, what value of y should be substituted into the equation y = ?
What is the percentage of 35568 that equals 650?
What is the percentage of 35568 that equals 650?
Which of the following options represents a solution to the equation (18% of 250 + 25% of 144) = 54?
Which of the following options represents a solution to the equation (18% of 250 + 25% of 144) = 54?
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What is the correct calculation for 0.2% of 1320?
What is the correct calculation for 0.2% of 1320?
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How many valid votes did the other candidate receive in the election?
How many valid votes did the other candidate receive in the election?
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What is the value of 24% of the number if 15% of 45% of that number equals 105.3?
What is the value of 24% of the number if 15% of 45% of that number equals 105.3?
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What percentage of the second set of 125 questions must Jassi answer correctly to achieve an overall grade of 60%?
What percentage of the second set of 125 questions must Jassi answer correctly to achieve an overall grade of 60%?
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If the total number of votes is 15,200 and 15% were invalid, how many valid votes were cast?
If the total number of votes is 15,200 and 15% were invalid, how many valid votes were cast?
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If 15% of 45% of a certain number equals 105.3, what can be said about the resulting number when calculating 10% of it?
If 15% of 45% of a certain number equals 105.3, what can be said about the resulting number when calculating 10% of it?
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Study Notes
Percentage Calculations
-
Problem 1: Equation derived from percentages
- Formula: (18% of 250 + 25% of 144) of ? = 54
- Breakdown:
- 18% of 250 = 45
- 25% of 144 = 36
- Total = 45 + 36 = 81
- Therefore, 81% of ? = 54
- Solve for ?: ? = 54 / 0.81 = 66.67 (approximately)
Additional Percentage Problems
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Problem 2: Calculate the product of two percentages
- Question: 36% of 4800 x 0.2% of 1320
- Steps:
- 36% of 4800 = 1728
- 0.2% of 1320 = 2.64
- Final answer: 1728 x 2.64 = 4561.92
Finding Percent Values
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Problem 3: Determine percentage from given values
- Solve: ?% of 35568 = 650
- Rearranging gives: ? = (650 / 35568) x 100
- Calculated percentage:
- ? ≈ 1.83%
Multiple Choice Options
- Multiple choice options provided for each problem
- For the first problem, options include variables and undefined values
- Second problem results with options close to calculated value (answer c: 4561.92)
- Third problem offers options ranging from 12% to 18%, none closely representing calculated 1.83%.
Key Concepts
- Understanding how to manipulate and derive equations from percentage problems aids in solving complex calculations efficiently.
- Recognizing the relationships between part, whole, and percentage is vital for quick problem-solving in mathematics.
College Election Votes
- One candidate received 55% of total valid votes in the election.
- 15% of the total votes were invalid.
- Total votes cast in the election: 15,200.
- To find valid votes:
- Invalid votes = 15% of 15,200 = 2,280.
- Valid votes = Total votes - Invalid votes = 15,200 - 2,280 = 12,920.
- Votes for the first candidate (55% of valid votes) = 55% of 12,920 = 7,096.
- Votes for the other candidate = Valid votes - Votes for the first candidate = 12,920 - 7,096 = 5,824.
- Thus, the other candidate got 5,824 valid votes.
Percentage Calculation
- 15% of 45% of a number equals 105.3.
- To find the unknown number (let's call it x):
- 15% of 45% = 0.15 * 0.45 = 0.0675.
- Therefore, 0.0675 * x = 105.3.
- Solving for x gives x = 105.3 / 0.0675 = 1,560.
- To find 24% of this number (1,560):
- 24% of 1,560 = 0.24 * 1,560 = 374.4.
Exam Performance
- Jassi answered 40% of the first 125 questions correctly.
- Total number of questions: 250.
- To achieve a 60% overall grade on the exam:
- Total correct answers needed = 60% of 250 = 150.
- Correct answers from the first half (125 questions):
- 40% of 125 = 50.
- Remaining correct answers needed from the second half:
- 150 - 50 = 100.
- Percent needed from the other 125 questions:
- To find percentage: (100 / 125) * 100 = 80%.
Summary of Answer Options
- College election valid votes: 5,824 for the other candidate.
- Number calculation result for the unknown number is 1,560, and 24% of that is 374.4.
- Jassi needs to answer 80% of the remaining questions correctly to achieve a 60% overall grade.
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Description
Test your knowledge of percentages with this quiz featuring various problems related to percentage calculations. Suitable for 10th-grade students, this quiz covers practical applications of percentages in real-world scenarios.
