A piece of ribbon is 16.32 m long. Mrs Li cuts off 40 cm of ribbon to make a bow. She then cuts the remaining ribbon into two pieces. One piece is 3 times as long as the other piece. Find the length of the longer piece of ribbon in metres.

Answer 1

Mrs Li cuts off 40 cm of ribbon, which is equal to 40/100 = <<40/100=0.4>>0.4 m.
So, the remaining length of the ribbon is 16.32 - 0.4 = <<16.32-0.4=15.92>>15.92 m.
Let's say the shorter piece of ribbon is x.
Then, the longer piece of ribbon is 3*x.
And we have the equation: x + 3*x = 15.92.
So, 4*x = 15.92.
Therefore, x = 15.92/4 = <<15.92/4=3.98>>3.98 m.
The longer piece of ribbon is 3*3.98 = <<3*3.98=11.94>>11.94 m long. Answer: \boxed{11.94}.