SOLUTION: I am having difficulty setting up this problem. I have to solve by using a system of equations. On the first day of school, the percentage of boys in a particular class is 60%.

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Question 681697: I am having difficulty setting up this problem. I have to solve by using a system of equations.
On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x is the entire class
b = .60x
The moving away of 6 girls and adding of 6 boys does not change x
...
however,
b+6 = .75x
...
Substitution
.60x + 6 = .75x
6 = .75x - .60x
6 = .15x
x = 40 in the class
.60(40) = highlight_green%2824%29 boys
40 - 24 = highlight_green%2816%29 girls
.....................
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