Complete question :
Of 50 employees of a store located in downtown Boston, 18 people take the subway to work, 12 take the bus, and 7 people take both the subway and the bus. How many employees (a) Take the subway or the bus to work? employees (b) Take only the bus to work? employees (c) Take either the bus or the subway to work (but not both)? employees (d) Get to work by some other means? employees
Answer:
23 ; 5 ; 16 ; 13
Explanation:
Given that:
Subway (s) = 18
Bus (b) = 12
Subway and bus = 7
a) Take the subway or the bus to work?
Number of subway + number of bus - (subway and bus)
18 + 12 - 7 = 23
(b) Take only the bus to work?
Number of bus - (subway and bus)
12 - 7 = 5 employees
(c) Take either the bus or the subway to work (but not both)?
Number of bus - (subway and bus) + Number of bus - (subway and bus)
(12 - 7) + (18 - 7) = 5 + 11 = 16 employees
(d) Get to work by some other means?
Total employees - (subway + bus + subway and bus)
50 - (18 + 12 + 7)
50 - 37
= 13 employees