Question 1097978
3/5 take spanish.


1/4 of the remaining take german.


remaining = 2/5.


1/4 * 2/5 = 2/20 = 1/10


remaining of 2/5 = 2/5 - 1/10 = 4/10 - 1/10 = 3/10.


this makes sense since 2/5 = 4/10 and 1/4 of 4/10 = 1/10 and 3/4 of 4/10 = 3/10.


therefore:


3/5 take spanish.
1/10 take german.
3/10 take french.


since 3/5 = 6/10, you get 6/10 + 1/10 + 3/10 = 10/10 = 1, so all students are accounted for.


your solution is that 3/10 of the students take french.


you can work it as a decimal and you should get the same answer.


3/5 = .6


2/5 = .4


1/4 of .4 = .1


3/4 of .4 = .3


.6 taken spanish
.1 take german
.3 take french.


.6 = 6/10
.1 = 1/10
.3 = 3/10


same answer.