SOLUTION: At Madison High School each student studies exactly one foreign language. Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. If all of

Question 1097978: At Madison High School each student studies exactly one foreign language. Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. If all of the others take French, what �percent of the students take French?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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