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# Venn diagram problem

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How many in only single?

3 Magazines (D, R, I); total number of people is 1000

250 - D, I, not R
40 - I, R, not D
120 - R, not in I
200 - I, not in D
90 - D, R
70 - none

This is a review but I don't understand

Professor told us to get answer = (y+Z+160)+250+90-x+X=40+70=1000

But I don't understand how to get y, z and x?

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Hi,

Please find the solutions/explanations attached.

How many in only single?

3 Magazines (D, R, I); total number of people is 1000

250 - D, I, not R
40 - I, R, not D
120 - R, not in I
200 - I, not in D
90 - D, R
70 - none

There will be 160 in only I as given 200 - I, not in D.
We know that total is 1000 (using Venn diagram).
Total sum is 1000.(add up all)
x + y + 90 - y + 250 + 40 + 160 + z + 70 = 1000
x + z + 540 = 1000
x + z = 1000 - 610 = 390
In single there will be x + z + 160 = 390 + 160 = 550

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

© BrainMass Inc. brainmass.com October 2, 2022, 11:57 am ad1c9bdddf>
https://brainmass.com/math/discrete-math/venn-diagram-problem-246283