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:  Boys = 7x + 10 Girls = 5x – 10 Given, Cross-multiplying, we get: 2(7x + 10) = 3(5x - 10) 14x + 20 = 15x – 30 X = 50 Currently number of Boys = 7x + 10 = 360

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