VJesus12 wrote:There are 4 bottles with the same number balls m respectively. If balls from only the 1-st bottle are moved to the other 3 bottles and finally the ratio of the numbers of balls in the bottles is 1 : 6 : 5 : 4, what fraction does the moved balls represent in terms of m?
A. m/4
B. m/2
C. 3m/4
D. m
E. 4m/5
Let the total number of balls = the sum of the parts of the final ratio = 1+6+5+4 = 16.
Since there are 16 balls in total, and each of the 4 bottles begins with m balls, m=4.
Since the number of balls in the first bottle decreases from 4 to 1, the number of balls moved from the first bottle = 4-1 = 3.
Of these 3 balls, 2 are moved to second bottle (increasing the total number of balls in the second bottle to 6), and 1 is moved to the third bottle (increasing the total number of balls in the third bottle to 5).
The question stem asks for the number of moved balls: 3.
The correct answer must yield a value of 3 when m=4.
Only
C works:
(3m)/4 = (3*4)/4 = 4.
The correct answer is
C.
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