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Explanation
A 70cm long wire is to be cut into two pieces
The cutting must be in such a way one piece will be 2/5 as long as the other.
We shall assume the length of one piece “y” and the other of course “2y/5”.
The addition of these two gives the actual length of the wire which is 70cm.
y + 2y/5 = 70
Through this equation we can easily figure out the length of shorter piece.
To Find
Length of the shorter piece = ?
Solution
Total given length of the wire = 70cm
Let suppose the length of one piece after cutting = y
The length of second piece after cutting = 2y/5
Now; according to condition
y + 2y/5 = 70
5y + 2y = 350
7y = 350
y = 50
2y/5 = (2 x 50)/5 = 20cm answer
Conclusion
A 70cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. The length of shorter piece will be 20cm.
