Problema Solution
200 people made a New Years resolution to improve their fitness. Some intended to run, some to swim, and the others planned to enroll in martial arts classes. If 3 times as many people were planning to run as swim, and if 30 fewer were going to enroll in martial arts than swim, how many people were planning each type of fitness activity?
Answer provided by our tutors
suppose x people went to swim
then people for run = 3x
and people for martial art = x - 30
we get
3x + x + x - 30 = 200
5x - 30 = 200
5x = 230
x = 230/5 = 46
swimm = 46
run = 46*3 = 138
and martial art = 46 - 30 = 16