Hi All,
When dealing with a prompt that includes multiple ratios, it's often helpful to start with the variable that has the "weirdest" ratios attached to it. In this example, none of the ratios is that "weird", so I'd look at the variable with the "biggest" numbers attached and start there....
We're given:
A:B
2:3
B:C
3:4
C:D
8:9
D:E
27:12
D has to be a multiple of 9 and 27, so let's "lock in" that value at 27....
D = 27 so.....
E = 12
C:D
8:9
Since we "tripled" the D, we have to "triple" the C......C = 8(3) = 24
With the value of C, we can work back to figure out the B and the A
C = 24
B:C
3:4
Since we had to multiply the C by 6, we have to multiply the B by 6....
B = 3(6) = 18
A:B
2:3
Finally, we had to multiply the B by 6, so we have to multiply the A by 6....
A = 2(6) = 12
The final ratio of A:B:C:D:E is....
12:18:24:27:12
Since all of these numbers are divisible by 3, we can reduce this ratio to....
4:6:8:9:4
GMAT assassins aren't born, they're made,
Rich
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