Question

Please I need help answering this question. David has a hose that is 27 ft long. He wants to cut it into two pieces so that the longer piece is 3 ft more than 2 times the length of the shorter piece.

How long will each piece of hose be?

Enter your answers in the boxes.

Shorter piece:
ft

Longer piece:
ft

Answer 1

• Let the length of shorter piece be x ft.
• so  ''        ''   ''       ''        ''          ''    = 2 x + 3

A/Q, x + 2 x + 3  = 27

        3 x  = 24

         x  = 8

• Length of shorter piece = x = 8 ft.
•  ''      ''      longer      ''      =  2 x + 3 = 16 +3 = 19 ft.

Thank u.

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Answer 2

let x and y be the length of the longer and the shorter pieces of the hose respectively.
By question,
x + y = 27 --- (1)
and,
x - 2y = 3 --- (2)
subtracting (1) by (2), we get,
y-(-2y) = 27-3
=> 3y = 24
=> y = 24/3
=> y = 8
putting y = 8 in (1)
x + 8 = 27
=> x = 27-8
=> x = 19
Therefore, the length of the shorter piece is 8 ft and the length of the longer piece is 19 ft