Question

cei asked 80 people which mode of transport they liked best 24 were male 11 of these males used a bicycle to get into town 16 females used a bus to get to town 17 out of the 28 people who used a car were female work out the number of people who used a bus to get to town

Answer 1

Given :

Total number of people = 80

Total number of male = 24

Number of male who use bicycle = 11

Number of female who use bus = 16

Number of people use car = 28

Number of female who use car = 17 out of 28

To find :

The number of people use bus to get to town

Solution :

Number of female who use bus = 16          ..........1

Number of female who use car = 17

Number of female use bicycle =

Number of male uses bicycle = 11

As Total number of male = 24

So, rest of male use either bus or car = 24 - 11 = 13

Since

number of people use car = 28

And number of female use car = 17

So, Number of male use car = 28 - 17 = 11

Again

As 11 male using car, so from 13 male using either car or bus

Number of male using bus = 13 - 11 = 2

∴  Total number person using bus = number of female using bus + number of male using bus

i.e Total number person using bus = 16 + 2 = 18

Hence, Total number person using bus to get to town is 18  . Answer