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There were 42 students in the classroom. There were 10% more girls than boys. A few girls went to the restroom. As a result, the number of boys became 25% more than the number of girls in the classroom. How many girls went to the restroom?

 Apr 18, 2021
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There were 42 students in the classroom. There were 10% more girls than boys. A few girls went to the restroom. As a result, the number of boys became 25% more than the number of girls in the classroom. How many girls went to the restroom?     

 

G = B + 0.10B   —>  G = 1.1B     

B + G = 42         —>  B + 1.1B = 42     

                                         2.1B = 42     

                                              B = 20  &  G = 22     

 

after x girls go to restroom . . .     

 

B  =  (1.25)(G – x)     

20  =  (1.25)(22 – x)   —>  22 – x  =  20 / 1.25     

                                           22 – x  =  16     

                                                – x  =  – 6     

                                                   x  =  6    —>  6 girls went to the restroom     

.     

 Dec 1, 2025

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