Math Problem Statement
Solution
Let's solve question 51:
Question: The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number?
Let the positive number be .
The sum of 15% of and 20% of is given as 126. This can be written as:
Simplify the left side:
Now, solve for :
So, the number is 360.
The question asks for one-third of that number:
Answer: The correct answer is (c) 120.
Let me know if you'd like more details or have any other questions!
Here are 5 related questions:
- What is 10% of 360?
- If 25% of a number is 90, what is the number?
- How do you find a percentage of a number?
- What is one-fifth of 200?
- If the sum of 30% and 40% of a number is 210, what is the number?
Tip: When working with percentages, converting them to decimals (e.g., 15% = 0.15) helps simplify the equation and calculations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentages
Formulas
0.15x + 0.20x = 126
x / 3
Theorems
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Suitable Grade Level
Grades 7-9
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