SOLUTION: HELP set up and solve.
A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professo
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: HELP set up and solve.
A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.
This question is from textbook
Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
Let's call X to the original number of boys and Y to the number of girls. If 60% of the students are boys, this means that:
Now, if we have 6 more boys and 6 less girls, the percentage of boys grows to 75%. So we get that:
And now we simply plug into this equation:
So originally there were 16 girls and 24 boys.
I hope this helps!
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