sanju09 wrote:In an International summit where the delegates of only five countries are the attendees, the ratio in Canadian to French to Indian delegates is 12:15:8, and the ratio in Russian to American to Canadian delegates is 5:4:6. If there are 6 more Russian delegates than the Indian delegates attending the summit, what is the total number of delegates attending the summit?
A. 44
B. 50
C. 53
D. 106
E. 159
C : F : I =
12:15:8.
R : A :
C = 5:4:6 = 10:8:
12.
Combining the ratios, we get:
R : A : C : F : I = 10:8:12:15:8.
In the resulting ratio:
Sum of the parts = 10+8+12+15+8 = 53.
R-I = 10-8 = 2.
Since the problem states that the difference between the number of Russian delegates and the number of Indian delegates is 6 -- 3 times as great -- all of the values in the ratio must be multiplied by a factor of 3.
Thus, the sum of the parts -- which represents the TOTAL NUMBER OF DELEGATES -- must also be multiplied by a factor of 3:
3*53 = 159.
The correct answer is
E.
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