Question

The pie chart shows the result of a survey carried out to find the modes of travel used by school
children. Study the pie chart and answer the following questions
Bus=120
Car=90
Walk=60
Cycle=60
Taxi=30

(i) What is the most common mode of transport?
(ii) What fraction of children travel by car?
(iii) If 28 children travel by car, how many children took part in the survey?
(iv) How many children use taxis?

Answer 1

Answer:

Since, the highest central angle 120

0

is of the bus

hence , the most common mode of transport is the bus.

(b) Fraction of children travelling by car =

total angle

angle covered by car section

=

360

0

90

0

=

4

1

(c) No. of children travelling by car = Fraction of children travelling by car× Total no of children.

⇒18=

4

1

× Total no of children...... from (b)

⇒ Total no of children = 18×4

⇒ Total no of children = 72

(d) Central angle of children who do not take texi = 120

0

+90

0

+60

0

+60

0

⇒ Central angle of students who do not take taxi = 330

0

⇒ Central angle of students who do take taxi = 360

0

−330

0

=30

0

No . of children travelling by taxi =

360

0

30

0

× Total no of children

⇒ No of children travelling by taxi =

360

0

30

0

×72=6

(e) The central angle for students travelling by cycle and those who walk is same.

Thus , the two modes of transport are equal number of children travelling are cycle and walk.

Answer 2

Answer:

Step-by-step explanation:

Concept:

The concept of pie chart will help us to solve the question using the pie chart.

Given:

The number of children who are using bus is $120$ , $90$ children are using car.

$60$ children are walking, cycles are used by $60$ children, $30$ children are using taxi.

To Find:

We have to find out the following answers.

1. What is the most common mode of transport?
2. What fraction of children travel by car?
3. If 28 children travel by car, how many children took part in the survey?
4. How many children use taxis?

Solution:

1.The number of using bus by the children is the height number.So we can say that bus is the most common mode of transport.

2.The total number of the students is $360$ .

The number of children who are using the car is $90$ .

Fraction of the children who are using car is $\frac{90}{360} =\frac{1}{4}$.

3. No. of children travelling by car  = Fraction of children travelling by car × Total no of children

Put the value in the above equation.

$28=\frac{1}{4} \times total number of children$

The total number of children is $28 \times 4=112$ .

$112$ children took part in the survey.

4. In the question, the number of using taxi is $30$ .

Therefore $30$ children use taxi.

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