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1. A 32 ft-string is cut into 2 pieces. If one piece is 6ft. longer than the other piece, what is the length of the longer piece?

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Answer:

Therefore, the length of the longer piece is 19 ft.

Step-by-step explanation:

Let other piece be x

Let longer piece be x+6

(x+6)+(x) = 32

2x+6 = 32 Combine like terms

2x = 32-6

2x = 26

[tex]\frac{2x}{2}[/tex] = [tex]\frac{26}{2}[/tex]      Divide by 2 to eliminate 2 in x

x = 13

x+6 = 13+6

Longer piece = 19

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