Problema Solution
A class was three fifths girls. If the number of boys were doubled and six girls were added, there would be an equal number of boys and girls. How many students were in the class at the outset?
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let 'x' be the total number of students in the class at the outset
(3/5)x are girls
x - (3/5)x are boys
If the number of boys were doubled and six girls were added, there would be an equal number of boys and girls
2*(x - (3/5)x) = (3/5)x + 6
2*x(1 - 3/5) = (3/5)x + 6
by solving we find
x = 30 students
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there were 30 students in the class at the outset.