a 14 foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. find the length of both pieces

Answer 1

x + 2x+2 = 14

3x + 2 = 14

3x = 12

x = 4

4 and 10

Answer 2

We are going to form an equation with the given informations. Let’s say our short piece is called “x”. To find the longer piece, we have to add 2 to 2 times the shorter piece. So:

short piece = x

longer piece = 2x + 2

when we add the two lengths together, we get 14 feet because that’s the total length of the original piece:

short piece + long piece = 14

x + 2x + 2 = 14

now solve:

x + 2x + 2 = 14

3x +2 = 14

-2 -2

3x = 12

/3 /3

x = 4

sp, our short piece is 4 feet and to find our long piece we plug 4 into our equation:

2(4) + 2 = 10 ft

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