A long wire of some length is cut into small pieces of 216cm leave a small piece of length of 89 cm if this part were cut into equal pieces each of 18cm the length of the leftover wire would be

A {19} B {27} C {17} D {34}

This answer question

To find the length of the leftover wire when the small piece of 89 cm is cut into equal pieces of 18 cm, we need to first determine how many 18 cm pieces can be made from the leftover wire.

The length of the leftover wire after cutting the small piece of 89 cm from the long wire is:
Leftover wire = Total wire length - Length of the small piece
Leftover wire = 216 cm - 89 cm
Leftover wire = 127 cm

Now, we divide the length of the leftover wire (127 cm) by the length of each equal piece (18 cm) to find the number of equal pieces:
Number of equal pieces = Length of leftover wire ÷ Length of each piece
Number of equal pieces = 127 cm ÷ 18 cm

Now, we divide 127 by 18:
127 ÷ 18 = 7 with a remainder of 11

Since we can only have complete equal pieces, we can make 7 equal pieces of 18 cm from the leftover wire, with a remaining piece of 11 cm.

Therefore, the length of the leftover wire would be 11 cm.