+0  
 
-2
63
2
avatar

In Linguistics 101, the ratio of the number of juniors to the number of seniors is 3:2.  When six more juniors join the class, and one senior drops the class, the ratio of the number of juniors to the number of seniors becomes 2:3.  How many students are in the class after these changes?

 Jun 26, 2023
 #1
avatar+274 
0

Credit to https://web2.0calc.com/questions/help-pls_10673 for inspiring my solution. :)

 

Let 3x be the number of juniors and 2x be the number of seniors.

 

Six more juniors join the class: the number of girls is now  3x + 6

One senior drop the class: rhe number of boys is now  2x - 1

 

The ratio of juniors to seniors is now 2:3  --->   (3x + 6) : (2x - 1)  =  2 : 3

 

(3x + 6)/(2x - 1) = 2/3

3(3x+6) = 2(2x-1)

9x+18 = 4x-2

5x  = -20

x = -4

 

I don't understand it now; the answer is negative??

Can someone help? Thanks!

 Jun 26, 2023

5 Online Users

avatar
avatar