Question

PLEASE HELP!! There are 64 passengers on a morning bus. Of these passengers, 35 need transfers and 39 are going to work. There are 12 passengers who do not need transfers and are not on their way to work.
a) the number of passengers that need transfers but aren’t going to work is_____

b) the number of passengers that are going to work but do not need transfers is ____

(If you could show me how yo got to your answer that would help a lot cheers)

Answer 1

The number of passengers that :

• Needs Transfer only = 13 passengers
• Are going to work only = 17 passengers

Let :

Passengers that needs transfer = T = 35

Passengers going to work, W = 39

Passengers who do not need transfers and aren't going to work = 12

Using a venn diagram :

Let the Passengers who do not need transfers and are going to work and needs transfer = x

Passengers who need transfer only = 35 - x

Passengers who are going to work only = 39 - x

To find x :

35 - x + 39 - x + x + 12 = 64

86 - x = 64

-x = 64 - 86

-x = - 22

x = 22

the number of passengers that need transfers but aren’t going to work will be = 35 - 22 = 13 passengers

the number of passengers that are going to work but do not need transfers will be : 39 - 22 = 17 passengers

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