A 1165 cm long rope is cut into 154 pieces. 150 of the pieces are equally sized and the remaining pieces are 100mm each. Find the length of each of the equal pieces in millimeters.
Thoughts? Step-by-step reasoning:
Each cm contains 10mm so 1165cm is 1165 * 10 = 11650mm. 154 - 150 = 4 pieces of the rope are 100mm each in length. The 4 pieces have a total length of 4 * 100 = 400mm. There is a length of 11650 - 400 = 11250mm left. 11250 mm into 150 equal pieces will give each piece as 11250 / 150 = 75mm long.
Thus, the answer is 75.