During a season a certain football team won half its matches, drew one fifth of its matches and lost the rest. If the team drew 20 matches, find how many matches the team lost?

1 Answer
Oct 21, 2017

Number of matches lost by the team = 30

Explanation:

Total matches played = x
Number of matches won #= x / 2#
Number of matches drew #= x / 5 = 20#
#:. x = 20 * 5 = 100#

Total matches played = 100
Matches won # = x/ 2 = 100 / 2 = 50#
Matches drwn = 20#

#:. Matches lost = 100 - (50 + 20) = 100 - 70 = 30#