A rope 25 feet long is cut into 3 pieces. the first piece is 2x feet long, the second is 5x feet long, and the third picece is 4 feet long

## A. write and solve an equation to find x B. find the lengths of the first and second pieces.

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# 1 Answer

Hi Travina;

FIRST PIECE...2x

SECOND PIECE...5x

THIRD PIECE...4 feet

TOTAL...25 feet

(2x)+(5x)+4=25

Let's combine like terms...

7x+4=25

Let's subtract 4 from both sides...

-4+7x+4=25-4

7x=21

Let's divide both sides by 7...

(7x)/7=21/7

x=3

FIRST PIECE...2(3 feet)=6 feet

SECOND PIECE...5(3 feet)=15 feet

THIRD PIECE...4 feet

TOTAL...25 feet

Let's check our work...

6+15+4=25

25=25