Math Destroyer Question

[Dental2000]

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2010 version Test 4 #37

The explanation sucks at the back of the book...
no idea how to go about it

 

[AlbinoPolarBear]

2010 version Test 4 #37

The explanation sucks at the back of the book...
no idea how to go about it

Type it out. I'll give it a shot.

 

[Dental2000]

lol k

A survey was taken of 180 people.Each was asked to choose their one favorite type of music.two-thirds of the respondents choose classical music and one-third of the remaining choose jazz. How many of the people surveyed chose neither classical nor jazz?

a)15
b)20
c)25
d)35
e)40

Answer is E but HTF?

 

[mh0000]

lol k

A survey was taken of 180 people.Each was asked to choose their one favorite type of music.two-thirds of the respondents choose classical music and one-third of the remaining choose jazz. How many of the people surveyed chose neither classical nor jazz?

a)15
b)20
c)25
d)35
e)40

Answer is E but HTF?

You're thinking too hard. 2/3 chose classical music, leaving 1/3 or 60 people remaining for another music preference. Of these REMAINING 60 people, another 1/3 picked jazz. This means that 20 people picked jazz of the 60 people. This leaves 40 people with non classical or jazz preferences.

 

[AlbinoPolarBear]

lol k

A survey was taken of 180 people.Each was asked to choose their one favorite type of music.two-thirds of the respondents choose classical music and one-third of the remaining choose jazz. How many of the people surveyed chose neither classical nor jazz?

a)15
b)20
c)25
d)35
e)40

Answer is E but HTF?

Total people: 180
Likes Classical: (2/3)*total = (2/3)*180 = 120
Remaining: 60
Likes Jazz (1/3)*remaining = (1/3)*60 = 20

Neither = total - likes classical - likes jazz
= 180 - 120 - 20
= 40

 

[Dental2000]

Good God Im ******ed ..

yeah I was over-thinking the stuff...
should have understood the 'REMAINING' part..