in a certain office 72 of the workers prefer tea and..., Percentage, General Mathematics

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Question:In a certain office,  $72%$  of the workers prefer tea and  $445$  coffee. If each of them prefers tea or coffee and  $40$  like both, the total number of workers in the office is :

A  $200$  
B  $240$  
C  $250$  
D  $320$

/114

+ AnswerC

+ ExplanationLet total number be x. Then,

 $n(A) = 72/(100) x$ 

 $= (18x)/55, n(B)$ 

 $= (44)/(100) x$ 

 $= (11x)/25 & n(AnnB)$ 

 $= 40.$ 

 $n (AuuB) = n(A) + n(B) - n(AnnB)$ 

 $=> x = (18x)/25 + (11x)/25 - 40 => (29x)/25 - x$ 

 $= 40 or (4x)/25$ 

 $= 40$ 

 $:. x = ((25 xx 40)/4)$ 

 $= 250.$

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Question:In a certain office, 72%72% of the workers prefer tea and 445445 coffee. If each of them prefers tea or coffee and 4040 like both, the total number of workers in the office is :

A 200200

B 240240

C 250250

D 320320

C

Question:In a certain office, $72%$ of the workers prefer tea and $445$ coffee. If each of them prefers tea or coffee and $40$ like both, the total number of workers in the office is :

A $200$

B $240$

C $250$

D $320$