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Question 79795This question is from textbook
: A professor stared a project with a group of students, 60% of whom were boyus. 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 boxys. 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 ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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.
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Let t = total number of students,
.6t = number of boys originally
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(.6t + 6) = actual number of boys (which the problem says became 75%)
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From all this we have one simple equation:
.6t + 6 = .75t
.6t - .75t = -6
-.15t = -6
t = -6/-.15
t = +40 kids
:
.6 * 40 = 24 boys originally
.4 * 40 = 16 girls "
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