Question

The pie chart on the right shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.

(a) What is the most common mode of transport?

(b) What fraction of children travel by car? 

(c) If 18 children travel by car, how many children took part in the survey? 

(d) How many children use taxi to travel to school? 

(e) By which two modes of transport are equal number of children travelling?

Answer 1

(a) What is the most common mode of transport?

By observing the given pie chart the most common mode of transport is Bus i.e. its central angle is 120^o.

(b) What fraction of children travel by car?

By observing the given pie chart, central angle of the children travel by car is 90^o.

Then,

The fraction of children travel by car,

= (90^o/360^o)

= 9/36 … [divide both numerator and denominator by 9]

= ¼

(c) If 18 children travel by car, how many children took part in the survey?

Let us assume total number of children took part in the survey be y

Number of children travel by car = (¼) of total number of children

18 = ¼ × y

Y = 18 × 4

Y = 72

So, 72 children took part in the survey.

(d) How many children use taxi to travel to school?

Central angle of children use taxi to travel to school = (360^o – (120^o + 60^o + 90^o + 60^o)

= (360^o – 330^o)

= 30^o

Then,

Out of 72 children number of children use taxi to travel to school = (30^o/360^o) × 72

= 6

(e) By which two modes of transport are equal number of children travelling?

By observing the given pie chart, cycle and walk are the two modes of transport are equal number of children travelling. Because, central angle of the two modes are same i.e. 60^o.