SOLUTION: At a youth club,2/5 of those present were playing football and 1/4 were playing volleyball a) What fraction played the game? b) What fraction didn't play the game?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: At a youth club,2/5 of those present were playing football and 1/4 were playing volleyball a) What fraction played the game? b) What fraction didn't play the game?      Log On


   

Question 1065969: At a youth club,2/5 of those present were playing football and 1/4 were playing volleyball
a) What fraction played the game?
b) What fraction didn't play the game?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
2/5 * 4/4 = 8/20
1/4 * 5/5 = 5/20

2/5 + 1/4 = 8/20 + 5/20 = 13/20

that's how many played a game (either football or volleyball but not both).
7/20 played neither (1 - 13/20 = 20/20 - 13/20 = 7/20).
the assumption here is that nobody played both.
each person either played football only or played volleyball only or didn't play either one.

assume 20 people were there.
8 played football.
5 played volleyball.
7 didn't play at all.
total is 20 people total.
8/20 = 2/5.
5/20 = 1/4.
7/20 can't be simplified any further.