A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece

Question

2 years ago

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A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece

is 3 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?

Mathematics

1 answer:

Karo-lina-s [1.5K] · Answer 1 · 2023-09-10T07:15:33+03:00

Answer: 7 inches

Step-by-step explanation:

If x is the first piece, and the second piece is twice as long, then the second piece is 2x.

If the third piece is three times as long as the first piece, x, then the third piece is 3x.

The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.

42 = x + 2x + 3x

42 = 6x

7 = x

The first piece is 7 inches long.

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