Question
In a coaching class there are (3x + 10) boys and (2x + 20) girls. 40% of the boys and 50% of the girls are from rural areas. If the total number of rural students in the class is 80, how many girls are there in the class?
Solution
ATQ, Number of boys = 3x + 10 Number of girls = 2x + 20 Rural boys = 40% of (3x + 10) = 0.4(3x + 10) = 1.2x + 4 Rural girls = 50% of (2x + 20) = 0.5(2x + 20) = x + 10 Total rural = (1.2x + 4) + (x + 10) = 2.2x + 14 Given: 2.2x + 14 = 80 2.2x = 66 x = 30 Girls = 2x + 20 = 2×30 + 20 = 80
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