A market survey showed that 76 percent of the visitors at a certain re

Question

A market survey showed that 76 percent of the visitors at a certain resort came from Pacific or southwestern states. Of these, (2/3) were from California, and 87 percent of the Californians were from southern California. Approximately what percent of the visitors at the resort were from southern California?

(A) 40%
(B) 45%
(C) 50%
(D) 55%
(E) 65%

(A) 40%
(B) 45%
(C) 50%
(D) 55%
(E) 65%

EgmatQuantExpert · Answer

Solution

Given:  
 • A market survey showed that 76 percent of the visitors at a certain resort came from Pacific or southwestern states
• Of these,  \frac{2}{3}  were from California, and 87 percent of the Californians were from southern California

To find:  
 • The approximate percent of the visitors at the resort who were from southern California

Approach and Working:   
If we assume the total visitors to be 100, 
 • Visitors from Pacific or southwestern states = 76% of 100 = 76
• Visitors from California =  76 * \frac{2}{3} = 50 (approx.)
• Visitors from Southern California = 87% of 50 = 43.5 = approximately 45

Hence, the correct answer is option B.

Answer: B

Abhishek009 · Answer

Let the total population be 100

So, 76 visitors came from Pacific or southwestern states

Out of the 76 visitors 50.67 ( ie 2/3 of 76) visitors came from California

Again out of those 50.67 visitors 44.08 (87% of 50.67) visitors came from southern California.

So, We have Approximately 45 % visitors who came from southern California, Answer must be (B)

PaterD · Answer

76% = 3/4(+) 
87% = 7/8

Now 
3/4 * 2/3 * 7/8 = 14/32 = 7/16
7/16 = 43% (+)
Then B.

Suggestion work in fractions is quicker.
Peace out.

bankerwanker · Answer

76% = 3/4+

(3/4)*(2/3) = (1/2)+

(1/2)+ * 87% = 43.5%+ -> 45%

Option B

Nalapatricia · Answer

=(76/100)*(2/3)*(87/100)
=(76 * 2 * 87) / ( 100 * 3 *100)
=(38 * 2 * 2 *3 *29) / ( 50*2*3*2*50) --- Eliminate 2,2,3
=(38*29)/(50*50)
= 1102 / (2500) --- Multiply for 4 
=4408 / (10000) --- divide by 100 
=44,08/100 
=44.08%
So anwser is

(B) 45%

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A market survey showed that 76 percent of the visitors at a certain re

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A market survey showed that 76 percent of the visitors at a certain re

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