Answer:
There are 25 students in the class after the changes
Step-by-step explanation
Let G= The total number of girls after the change
Let B= The total number of boys after the change
g/b=3/2
G+7/B-2=5/2
After cross multiplying you get 5B-10=2B+14
and 3B=2B
Then you solve to get B=12. Then plug B back in any equation to get G=18.
Then plug your to number back in G+7/B-2=5/2 to get 18+7 and 12-2. Once you solve and add you get 25 students.
After the changes, there are 35 students in the class.
Given that, in Linguistics 101, the ratio of the number of girls to the number of boys is $3:2$.
In mathematics, a ratio indicates how many times one number contains another.
Given that, when seven more girls join the class, and two boys drop the class, the ratio of the number of girls to the number of boys becomes 5:2.
Now, [tex]\frac{3x+7}{2x-2} =\frac{5}{2}[/tex]
[tex]\implies 6x+14=10x-10[/tex]
⇒x=6
Thus, 3x+7=25 and 10.
Total=25+10=35.
Hence, after the changes, there are 35 students in the class.
To learn more about the ratios visit:
https://brainly.com/question/13419413.
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