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avatar+928 

Answer: 325

 

I have no idea how to approach this.

 Jul 30, 2019

Best Answer 

 #1
avatar+6045 
+2

\(|p|=\dfrac{1500}{4}=375\\ |g|=\dfrac{1500}{5}=300\\ |b|=\dfrac{1500}{3}=500\\~\\ \text{let $X$ be the set with none of the above}\\ |X| = 1500 - |p \cup g \cup b|\\~\\ \text{The smallest value of $|X|$ is obtained if the 3 sets above don't intersect}\\ \text{In this case $|X|=1500-375-300-500 = 325$}\)

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 Jul 30, 2019
edited by Rom  Jul 30, 2019
 #1
avatar+6045 
+2
Best Answer

\(|p|=\dfrac{1500}{4}=375\\ |g|=\dfrac{1500}{5}=300\\ |b|=\dfrac{1500}{3}=500\\~\\ \text{let $X$ be the set with none of the above}\\ |X| = 1500 - |p \cup g \cup b|\\~\\ \text{The smallest value of $|X|$ is obtained if the 3 sets above don't intersect}\\ \text{In this case $|X|=1500-375-300-500 = 325$}\)

Rom Jul 30, 2019
edited by Rom  Jul 30, 2019
 #2
avatar+928 
+1

Thanks for your great solution, Rom!!!

dgfgrafgdfge111  Jul 30, 2019

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