24 is divided into two parts such that 7 times the first part added to 5 times…

2023

24 is divided into two parts such that 7 times the first part added to 5 times the second makes 146. what will be the first part?

  1. A.

    11

  2. B.

    13

  3. C.

    16

  4. D.

    17

Attempted by 4 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

  1. Define Variables: Let the first part be x. Since the total is 24, the second part is 24 - x.

  2. Set up the Equation: According to the problem, 7 times the first part plus 5 times the second part equals 146. 7x + 5(24 - x) = 146

  3. Simplify and Solve:

    • Expand the equation: 7x + 120 - 5x = 146

    • Combine like terms: 2x + 120 = 146

    • Subtract 120 from both sides: 2x = 26

    • Divide by 2: x = 13.

  4. Conclusion: The first part is 13.

Explore the full course: Amcat Preparation