A 400 meter wire is cut into three pieces. The second piece is 3 times as long as the first piece. The third piece is 2 times as long as the second piece. How long is each piece?

first piece = 66.67m

second = 200m

third = 133.33m

Step-by-step explanation:

With the data that gives us the problem we can perform 3 equations

a: first piece

b: second piece

c: third piece

a + b + c = 400

b = 3a

c = 2a

we replace the value of b and the value of c in the first equation

a + (3a) + (2a) = 400

6a = 400

a = 400/6

a = 66.67m

Now we go to the second and third equations and replace the value of a

b = 3a

b = 3 (66.67)

b = 200

c = 2a

c = 2 (66.67)

c = 133.33

first = 66.67m

second = 200m

third = 133.33m