Math Problem Statement

The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number?

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 xx.

The sum of 15% of xx and 20% of xx is given as 126. This can be written as: 0.15x+0.20x=1260.15x + 0.20x = 126

Simplify the left side: 0.35x=1260.35x = 126

Now, solve for xx: x=1260.35=360x = \frac{126}{0.35} = 360

So, the number is 360.

The question asks for one-third of that number: 3603=120\frac{360}{3} = 120

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:

  1. What is 10% of 360?
  2. If 25% of a number is 90, what is the number?
  3. How do you find a percentage of a number?
  4. What is one-fifth of 200?
  5. 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