Aribbon 56 cm long is cut into two pieces. one of the pieces is three times longer than the other. find the length, in centimeters, of both pieces of ribbons

one piece is 42 centimeters and the other piece is 14 centimeters

Step-by-step explanation:

Let x represent the length, in centimeters, of one piece of the ribbon.

Let y represent the length, in centimeters, of the other piece of the ribbon.

The ribbon, 56 cm long is cut into two pieces. This means that

x + y = 56 - - - - -- - - - -1

One of the pieces is three times longer than the other. This means that

x = 3y

Substituting x = 3y into equation 1, it becomes

3y + y = 56

4y = 56

y = 56/4 = 14 centimeters

x = 3y = 2×14 = 42 centimeters

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