Question

A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. Of those who buy iPods 35% enjoy listening to country music. If N is the number of young people between 15 and 25. How many people between 15 and 25 this year will enjoy listening to country music on their iPods?

a) 14N.
b) 1.4N.
c) 0.14N.
d) 1.14N.

Answer 1

The option C) 0.14N is correct

∴ 35 % are enjoy listening to Country music is 0.14N

Explanation:

Given that "A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. If N is the number of young people between 15 and 25"

To find how many people between 15 and 25 this year will enjoy listening to country music on their iPods:

From the given we can write

Total people between 15 and 25 age = N

Number of people who buys iPods is 40% of N is

`= (40)/(100)* N`

= 0.4N

∴ Number of people who buys iPods is 40% of N is 0.4N

From the given we have that 35 % are enjoy listening to Country music means

`= (35)/(100)* 0.4N`

`=0.35* 0.4N`

= 0.14N

∴ 35 % are enjoy listening to Country music is 0.14N

Hence option C) 0.14N is correct.