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Answer :
Final answer:
The lengths of the blue, red, and green ribbons are 18 m, 25 m, and 13 m respectively.
Explanation:
This problem can be solved using methods of algebra. Let's denote the length of the blue ribbon as 'm' (meters).
According to the problem, the red ribbon is '7 + m' meters long because it's length is 7 more than the length of the blue ribbon. Similarly, the length of the green ribbon is 'm - 5' meters long since it's 5 meters less than the blue ribbon.
As the total length of the ribbons is given to be 54 meters, we can create the following equation:
m (blue) + (7 + m) (red) + (m - 5) (green) = 54.
Solving above equation, we get m=18, thus length of blue ribbon is 18 m
Substituting this value back into the original expressions for the red and green ribbons, we find that the length of the red ribbon is 25 m and the length of the green ribbon is 13 m.
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