SOLUTION: Need help to solve: Urie has a board that is 98 inches long. He wants to cut the board into two pieces so that one piece is ten inches longer than the other. What should the len

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Question 48160This question is from textbook Beginning Algebra
: Need help to solve:
Urie has a board that is 98 inches long. He wants to cut the board into two pieces so that one piece is ten inches longer than the other. What should the length of each piece be?
This question is from textbook Beginning Algebra

Answer by tutorcecilia(2152) About Me  (Show Source):
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Urie has a board that is 98 inches long. He wants to cut the board into two pieces so that one piece is ten inches longer than the other. What should the length of each piece be?
Let "x" be the unknown length of one piece.
Let (x+10) be the length of the second pierce.
Both pieces add up to 98 inches.
x + (x + 10) = 98
x + 2 + 10 = 98
2x + 10 = 98
2x + 10 - 10 = 98 - 10
2x = 88
2x/2 = 88/2
x = 44 .
.
Checking:
44 + (44 + 10) = 98
44 + 44 + 10 = 98
98 = 98 [Checks out]