How would i find the ratio?

Question

a 60 m pole is cute into two parts..in the ratio of 11 to 4. how much longer is the longer part to the shorter?

Answer 1

Since there are now 15 total units of length, i.e., 11m+4m=15, and the total length is 60m, then each unit is 60m/15m=4.  That means that the longer piece is 11x4 or 44m, and the shorter piece is 4x4 or 16m.  16+44=60