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      Question

      The ratio of the number of boys to girls in a school is

      7:5. If 10 more boys join the school and 10 girls leave, the new ratio of boys to girls becomes 3: 2. How many boys are currently in the school?
      A 175 Correct Answer Incorrect Answer
      B 245 Correct Answer Incorrect Answer
      C 360 Correct Answer Incorrect Answer
      D 385 Correct Answer Incorrect Answer
      E 425 Correct Answer Incorrect Answer

      Solution

      Let the number of boys be 7x and girls be 5x. After changes:ย  Boys = 7x + 10 Girls = 5x โ€“ 10 Given, Cross-multiplying, we get: 2(7x + 10) = 3(5x - 10) 14x + 20 = 15x โ€“ 30 X = 50 Currently number of Boys = 7x + 10 = 360

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