Question

A health club surveyed 175 members about which types of equipment they had used in the past month. Of the 175 members, 117 had used treadmills, 89 had used stationary bikes, and 53 had used both types of equipment. Some members had used neither type of equipment. Of the 175 members, how many had used treadmills, stationary bikes, or both?

Answer 1

153 members

Explanation:

Given;

117 had used treadmills

N(A) = 117

89 had used stationary bikes

N(B) = 89

53 had used both types of equipment

N(A∩B) = 53

The number of members that had used treadmills, stationary bikes, or both is;

N(A or B) = N(A) + N(B) - N(A∩B)

N(A or B) = 117 + 89 - 53

N(A or B) = 153

The number of members that had used treadmills, stationary bikes, or both is 153