Question

n a survey of four-year colleges and universities, it was found that

242 offered a liberal arts degree.
116 offered a computer engineering degree.
467 offered a nursing degree.
35 offered a liberal arts degree and a computer engineering degree.
197 offered a liberal arts degree and a nursing degree.
95 offered a computer engineering degree and a nursing degree.
29 offered a liberal arts degree, a computer engineering degree, and a nursing degree.
36 offered none of these degrees.

How many four-year colleges and universities were surveyed?

Answer 1

1.217 four year colleges and universities were surveyed

Answer 2

can you show me please?
i would like to learn how to do this.

Answer 3

oh well all you have to do is sum up all the amounts

Answer 4

then get the average ?

Answer 5

I think you're supposed to draw a Venn diagram.

Answer 6

That's how I'd do it, anyway.

Answer 7

I don't think this is right. @SACAPUNTAS I'll draw it out and see what I get

Answer 8

yep thats what mine looks like

Answer 9

u= 1217 would it be the universal number?

Answer 10

I guess?
I'm a bit rusty on the actual terminology, sorry.

Answer 11

You want the union of the three sets minus the intersection of the three sets. Then just add on that extra 36 at the end.

I'd just add everything up subtracting the overlap.
(242 + 116 + 467) - (29 + (95 - 29) + (35 - 29) + (197 - 29)) + 36

There may be a more elegant way that you've learned.

Answer 12

1072... I am getting the same thing.

Answer 13

Ok, good. :D

Answer 14

hey sacapuntas help me with a problem that i have been working on forever please?

Answer 15

I sent a you message so we don't mess up this question talking about that.

Answer 16

thanks i'll let you know if you got this right

Answer 17

Ok. :D

Answer 18

This one was wrong... that answer is 563 we should have added all the actual values of each school

Answer 19

Well, I checked my arithmetic. My way gives 592. Which is still wrong.

Suspiciously, it's 29 more than the right answer, which is the number in the center. So there is something I overlooked.

I'd be curious to see what the correct method is, and why this method is not.