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?
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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