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?

Shorter piece:
ft
Longer piece:
ft

Respuesta :

Ok so the short one is 8 feet, the long is 19 feet. To find it do 24/3=8 then multiply 8 with 2 because it's double then add three to get 19! Hope this helps and mark as brainliest!

The length of each piece of hose are as follows:

shorter piece = 6 feet

Longer piece = 15 feet

David has a hose that is 27 ft long.

Therefore,

Total length of the hose = 27 ft

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. Therefore,

let

x = length of the shorter piece

longer piece = 3 + 2x

Therefore,

Total length of hose:

  • x + 3 + 3x = 27

4x + 3 = 27

4x = 27 - 3

4x = 24

x = 24 / 4

x = 6 ft

Shorter piece = 6 ft

Longer piece = 3 + 2(6) = 3 + 12 = 15 ft

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