uestion carries 2 marks 7. A rope of length 150" is cut into two pieces such that the length of one piece is equal to two-thirds the length of the other piece. Find the length of the shorter piece.
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Answer:
A board 15 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. What is the length of the shorter piece?
Sol:
Let the length of one piece be x
Length of another piece =(2/3) x
Now we have :
x + (2/3) x = 15
Simplifying it ;
~(3x + 2x) ÷3 = 15
~ (5x) ÷3 =15
~ 5x = 45
~ x = 9
So the length of one piece is 9 feet
And that of shorter piece is = (2/3) 9
~~=6 feet
So the length of shorter piece is 6 feet
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answer is 6 hello and bye
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