Math Destroyer Test4 #37

[kangkabra]

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

Can someone explain to me how to solve this question ?

 

[dentalstudent2021]

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

Can someone explain to me how to solve this question ?

Total : 180 people. 2/3 = 120 Classical people. 1/3 of the rest ( 180-120 = 60) are 20 Jazz people . So now we know 120 are classical people and 20 are Jazz people, which is total of 140 people. the remaining who didn't choose anything are 180 - 140 = 40 people

 

[kangkabra]

Total : 180 people. 2/3 = 120 Classical people. 1/3 of the rest ( 180-120 = 60) are 20 Jazz people . So now we know 120 are classical people and 20 are Jazz people, which is total of 140 people. the remaining who didn't choose anything are 180 - 140 = 40 people

Thank you !