At a certain gym 45% of people go to Zumba classes, 52% lift weights, and 44% go to yoga classes. 15% of people attend Zumba and
yoga, 21% of people attend Zumba and lift weights, and 36% of people lift weights and attend another class. 5% of people do all three activities. What percentage of people attend only Zumba?
Lets consider that there are 100 people attending to the gym class.
Then we know that 45 person is going to Zumba training.
%5 of people attends all the classes in the gym. Means 5 person attends all the classes. Lets subtract them from 45 person. 45-5=40. We have 40 person left.
%15 of people attends Zumba and yoga, %21 of people attends Zumba and weight lifting. First we need to substract first %5 which attends all classes in the gym from both clusters.
21-5=16 and 15-5-10
We have 10+16=26 person which attends Zumba and one more class. Lets subtract those from Zumba cluster 40-26=14. 14 person is only attending to Zumba classes
