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?
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!