A36 foot long ribbon is cut into three pieces. the first piece of ribbon is half as long as the second piece of ribbon. the third piece is 1 foot longer than twice the length of the second piece of ribbon. how long is the longest piece of ribbon?

The longest piece is 21 feet.

Step-by-step explanation:

Let the three pieces be x,y and z.

The first piece of ribbon is half as long as the second piece of ribbon.

   ....(1)

The third piece is 1 foot longer than twice the length of the second piece of ribbon.

    .........(2)

And together all pieces measure 36 feet.

     ......(3)

Substituting values of x and z in (3)

Solving this we get;

=>

=>

=>

y = 10 feet

As

x = 5 feet

And also

=>

=>

=>

z = 21 feet

Hence, the longest piece is 21 feet.

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