Given: On a construction site, 16 of the men wear helmets, and 19 of the women do not wear helmets.
Asked: How many people are there on the construction site?
Men:
Men wearing helmets = 16
Men not wearing helmets =
Total men =
Women:
Women wearing helmets =
Women not wearing helmets = 19
Total women =
Total construction people = men + women
(1) There are 21 men on the construction site.
Men:
Men wearing helmets = 16
Men not wearing helmets = 21-16 =5
Total men = 21
Women:
Women wearing helmets =
Women not wearing helmets = 19
Total women =
Total construction people = men + women
21-6 = 5 men do not wear helmets on the construction site.
Number of women on the construction site is unknown
NOT SUFFICIENT
(2) There are 24 people that do not wear helmets on the construction site.
Men:
Men wearing helmets = 16
Men not wearing helmets = 24-19 = 5
Total men = 21
Women:
Women wearing helmets =
Women not wearing helmets = 19
Total women =
Total construction people = men + women
24 - 19 = 5 men do not wear helmets on the construction site.
Number of people on the construction site can not be determined.
NOT SUFFICIENT
(1) + (2)
(1) There are 21 men on the construction site.
(2) There are 24 people that do not wear helmets on the construction site.
Men:
Men wearing helmets = 16
Men not wearing helmets = 21-16=5
Total men = 21
Women:
Women wearing helmets =
Women not wearing helmets = 19
Total women =
Total construction people = men + women
Still number of women on the construction site can not be determined
NOT SUFFICIENT
IMO E