A 7ft board is to be cut into three pieces, two equal length ones and the third 6 inches shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?

The two boards of equal length are 30 inches long, and the third board is 24 inches long

Step-by-step explanation:

First, convert the length of the board to inches. There are 12 inches in a foot, so multiply 7 by 12:

7(12)

= 84

Let x represent the length of the two boards of equal length. The length of the third board can be represented by x - 6, since it is 6 inches shorter than the other two.

Create an equation to represent this and solve for x:

(x) + (x) + (x - 6) = 84

3x - 6 = 84

3x = 90

x = 30

So, the two boards of equal length are 30 inches long.

Subtract 6 from this to find the length of the third board:

30 - 6

= 24

The two boards of equal length are 30 inches long, and the third board is 24 inches long.

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step-by-step explanation: