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There are too many students in Mr. Andrews’ class compared to Mr. Bryant’s class. In fact, the student ratio is4:3. As a result, the Principal moved two students from Mr. Andrews’ class to Mr. Bryant’s class, and now Mr. Andrews only has one more student than Mr. Bryant.How many students were in the two classes combined?

 Jan 9, 2021
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Let  the  original number  of  students  in Mr. Bryant's  class be  x

Then the  number of original students in Mr. Andrew's class  is   (4/3)x

 

After  the  move we have this

 

Mr Andrew's class  - Mr. Bryant's class   =  1

 

[ (4/3)x - 2  ]  - (x + 2)   = 1         multiply  through by  3

 

4x   - 6   - 3x  -  6   =  3

 

x   - 12   = 3     add 12 to both sides

 

x  =15  =   number of students in  Mr. Bryant's original class

 

(4/3)(15)  =  20   = number students in Mr. Andrew's original class

 

After  the move

 

Mr. Bryant's  class  =  17

Mr.Andrew's class =   18

 

35 students in total

 

 

cool cool cool

 Jan 9, 2021
edited by CPhill  Jan 9, 2021

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