A piece of string 80 cm long. Get cut into 3 parts of different lengths. The length of the longest part is 3 times that of the shortest part, and the middle-sized part is 5 cm longer than the shortest part. How long is each part?
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Explanation:
Let the shortest be x, longest be 3x and middle-sized part be x+5
Therefore, x+3x+x+5 = 80
=> 5x+5 = 80
=> 5x = 80-5
=> x = 75÷5
=> x = 15
Therefore, shortest part = x =15
longest part = 3x = 3×15 = 45
middle-sized part = x+5 = 15+5 =
20
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