A ribbon is 30cm long and it is cut into three pieces such that each piece is 2cm longer than the next. Represent this as an equation? Solve the equation to discover how long each piece of ribbon is.

Step-by-step explanation:

3 pieces such that each piece is 2 cm longer then the next ...

x, x + 2, x + 4

x + x + 2 + x + 4 = 30

3x + 6 = 30

3x = 30 - 6

3x = 24

x = 24/3

x = 8

x + 2 = 8 + 2 = 10

x + 4 = 8 + 4 = 12

check ...

8 + 10 + 12 = 30

18 + 12 = 30

30 = 30 (correct) ... it checks out

the ribbon lengths are : 8 cm, 10 cm, and 12 cm

They are 8, 10 and 12 cm long.

Step-by-step explanation:

Let the length of the shortest piece be x cm. Then:

x + x + 2 + x + 4 = 30

3x + 6 = 30

3x = 24

x = 8.