The results of a survey of 100 incoming students show the following results: 50 students own a laptop. 46 students own a tablet. 48 students own a smartphone. 22 students own at least a laptop and a tablet. 16 students own at least a tablet and a smartphone. 18 students own at least a smartphone and a laptop. 10 own all three (laptop, a tablet and a smartphone). How many students don't own any electronic devices?

Question

anonymous · Answer

Can someone help me out with this?

anonymous · Answer

I know this problem seem hard but I need help to solve this

fibonaccichick666 · Answer

nah, it's not bad.  So, first we want to make a chart ok?

anonymous · Answer

Alright

fibonaccichick666 · Answer

like this|dw:1393381215500:dw|

fibonaccichick666 · Answer

can you fill in the info we were given

anonymous · Answer

maybe

fibonaccichick666 · Answer

how many students have all 3?

anonymous · Answer

My teacher told me I had to make a venn diagram

fibonaccichick666 · Answer

yea you could, not my weapon of choice, but you could

anonymous · Answer

Can someone help me solve this?

the_fizicx99 · Answer

@kewlgeek555 is good at graphing ^_^

anonymous · Answer

what u mean

the_fizicx99 · Answer

He can help you :P you just have to use a Venn diagram, right?

anonymous · Answer

yes

anonymous · Answer

Do you know how to solve this Kewlgeek555

kewlgeek555 · Answer

Thanks for recommending me @tHe_FiZiCx99 

Anyways...

This is basically a math problem that likes to play with your mind, but it shall not!  Just write everything that you read down like this:

Total people surveyed:  100

|dw:1393447741996:dw|

So now we sort of mapped this out, but we are not done yet!  W ehave to match the totals.

Total Laptop Owners:  50

18 (ppl who own laptop & smartphone) + 22 (ppl who own laptop & tablet) + 10 (ppl who own all 3) = 50 total laptops.

Okay.  Then no people have to be added to the laptop thing.  Why are we doing this?  Because it said "AT LEAST" - meaning that it might not have given all of the owners. c;

Now, this is where the assignment is wrong because if you add all the people who own a tablet, it comes to 48, but the total people who own a tablet is 46.  Hm.

As for the smartphones...

18 + 16 + 10 = 44, where there are 48 total ppl who own smartphones, so we are missing 4.  Add the 4 and it'll be true.  Now, out total is...70.

100 - 70 = 30.

anonymous · Answer

ok

kewlgeek555 · Answer

Sorry if it is very confusing. >v<

anonymous · Answer

The answer I got is 52