A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and 170 do not take either the bus or the subway. (a) How many commuters take both the bus and the subway? (b) How many commuters take only the subway?

A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and 170 do not take either the bus or the subway. (a) How many commuters take both the bus and the subway? (b) How many commuters take only the subway?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and 170 do not take either the bus or the subway.

(a) How many commuters take both the bus and the subway?

(b) How many commuters take only the subway?

Expert Solution

Step 1

Introduction:

Consider the commuters to be a sample of universal set and similarly for the subway and bus commuters. And use the set properties to answer the question.

Given:

Total number of commuters=1900

taking subway=1120

taking bus=620

not taking both=170

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