About Math Destroyer question

[CHCH]

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37. A 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?
A. 15 B. 20 C. 25 D. 35 E. 40

I have no idea how to solve this problem...help me out here~
Thanks everyone.

Answer is 40%

No idea
Thanks🙂

 

[Teeth12345]

37. A 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?
A. 15 B. 20 C. 25 D. 35 E. 40

I have no idea how to solve this problem...help me out here~
Thanks everyone.

Answer is 40%

No idea
Thanks🙂

There are a couple ways to do this problem. Here's how I did it:

2/3 of the 180 like classical - that's 120 people.
1/3 of the REMAINING people like jazz. Since 120 like classical, the remaining people are 180-120 = 60.
1/3 of 60 is 20...so 20 people like Jazz.
This leaves 180-120-20 = 40 people who don't like either.

 

[amh137]

So there are 180 people. 2/3 of 180 is 120, leaving 60 people who chose neither classical nor jazz. 1/3 of 60 is 20 which is the number of people who chose jazz. That leaves 40 people who didn't choose either. Hope that helps! 🙂

 

[dentalWorks]

I READ THE PROBLEM WRONG
"How many of the people surveyed chose either classical music or Jazz?"

I couldn't come up with 40 (always got 140)....got pissed and left