Answer:
The tape worm is 60 feet long, while the round worm is 9 feet long.
Explanation:
Let L be the length of the tapeworm and L' be the length of the round worm.
Given that the longest tape worms measured was 3 feet less than seven times the length of the longest round worm, we have
L = 7L' - 3 (1)
Also, since if you leave these two worms and they would measure an amazing 69 feet, then L + L' = 69 (2)
Substituting equation (1) into (2), we have
L + L' = 69
7L' - 3 + L' = 69
collecting like terms, we have
8L' = 69 + 3
8L' = 72
L' = 72/8
L' = 9 feet
Substituting L' into (1), we have
L = 7L' - 3
L = 7(9) - 3
L = 63 - 3
L = 60 feet.
So, the tape worm is 60 feet long, while the round worm is 9 feet long.