Asked by Vinnie

A, B, C are in a contest. 400 officers are voting to support them and each of
them can only cast one vote. If the ballot shows a result ratio of 2:3 for A and B candidates, 9:5 for B and C candidates, how many tickets had each of A, B and C get? A get________, B get _______ , C get _______.
Answered by nguyenvui
three calculation:
A + B + C = 400 total tickets
3A- 2B = 0
5B-9C = 0
That
A get 120 tickets
B get 180 tickets
C get 100 tickets
Answered by Vinnie
Sorry I don't really understand how u got to the answers. Could you please elaborate, thank you.
Answered by Reiny
How about this approach?

A:B = 2:3 or 6:9
B:C = 9:5 ---> notice the value of B is the same
so A:B:C = 6:9:5 or 6x:9x:5x

6x+9x+5x = 400
20x = 400
x = 20

so A got 6(20) = 120
B got 9(20) = 180
C got 5(20) = 100
Answered by Vinnie
Thank you so much for helping me out
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