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babunello [35]
3 years ago
12

Alison has a piece of board 70 inches long. She cuts it into three pieces. The longest piece is twice the length of the middle s

ized piece, and the shortest piece is 10 inches shorter than the middle sized piece. Find the length of the longest piece. Let x = length of the middle sized piece.
History
1 answer:
Goshia [24]3 years ago
8 0
X=lenght of the middle sized piece.
2x=lenght of the longest piece.
x-10=lenth of the sohtest piece.

we can suggest this equation:

(2x)+(x)+(x-10)=70
4x-10=70
4x=70+10
4x=80
x=80/4
x=20

therefore:
lenght of the middle sized piece:  x=20
lenght of the longest piece:  2x=2(20)=40
lenth of the sohtest piece:  x-10=20-10=10.

Answer: the length of the longest piece is 40 in.

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