Question

A bus company operates services to and from the East, North,South and West regions of the country. A recent report from the Operations Manager contains the following summary of their operations. "The total number of passenger journeys made on our services was 430,000. Of these, 124,000 were to and from the North, 61,000 to and from the South, and 80,000 to and from the East. Passengers used bus passes to pay for 158,000 of the total number of journeys: 43,000 on northern services, 51,000 on western services, and 35,000 on eastern services. Passengers who did not use a bus pass paid for their journeys in cash", Construct a two-way tabulation with rows for the country regions and columns for the method of payment. Work out the figures that are not quoted in the summary by using the information provided.

Answer 1

To find the number going to and from West is 165,000.

The number of bus passes from Southern services is 29,000.

The two-way tabulation

East------------------- 80,000

North------------------- 124,000

South------------------- 61,000

West-------------------- 165,000

Total--------------------------- 430,000

To find the number going to and from West:

80,000 + 124,000 + 61,000 + x = 430,000

265,000 + x = 430,000

x = 430,000 - 265,000

x= 165,000.

Table for the method of payment

Bus Passes          

Northern services-------------------- 43,000

Western services-------------------- 51,000

Eastern services---------------------- 35, 000

Southern services---------------------- 29,000

Total----------------------------------------------158,000

Let x be the unknown variable,

43,000 + 51,000 + 35,000 + x = 158,000

129,000 + x = 158,000

x= 158,000 - 129, 000

x= 29,0000

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