Question

A 40-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 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all
three pieces.

Answer 1

X represents 32

Explanation:

Bc x plus 30 = 62 - 30 equals 32 0-0

Answer 2

1st=5, 2nd=10, 3rd=25

Explanation:

We can make an equation to figure out the lengths of all 3 peices:

1st piece is represented as x

2nd piece is twice as long as the first, so 2x will represent that.

3rd piece is 5 times as long as the first, so 5x will represent that

together that is x+2x+5x=40

you can then simplify that to be 8x=40

40/8=5 so x=5

You then plug 5 in as x to figure out the lengths of the other pieces

1st=

5

2nd=2(5)

10

3rd=5(5)

25

:D