SOLUTION: I am so confused with this problem about Venn Diagrams, please help me. ---- Of 73 men, 54 wore belts, 20 wore suspenders, & 4 wore both. How many wore ONLY a belt? Only s

Algebra ->  Permutations -> SOLUTION: I am so confused with this problem about Venn Diagrams, please help me. ---- Of 73 men, 54 wore belts, 20 wore suspenders, & 4 wore both. How many wore ONLY a belt? Only s      Log On


   



Question 114638: I am so confused with this problem about Venn Diagrams, please help me.
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Of 73 men, 54 wore belts, 20 wore suspenders, & 4 wore both.
How many wore ONLY a belt? Only suspenders? Niether?

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I tried adding 54, 4 and 20. I got 78 and thats over 73 men. So, i subtracted 78 and 73 and got 5. That's 5 over the number of men total and if i subtract that from both belts and suspenders i would get less people wearing them. I'm so confused, please help me with this.
Thank you so much

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
54 men wore belts ___ but 4 of those also wore suspenders ___ so 50 wore ONLY belts

20 wore suspenders ___ 4 wore both ___ 16 ONLY suspenders

73 men ___ 50 only belts ___ 16 only suspenders ___ 4 both ___ so 3 neither