Answer:
A. 30 inches
B. 11 pieces
Step-by-step explanation:
Piece 1 = 120 inches
Piece 2 = 210 inches
1. He wants the smallest pieces to be as long as possible without having any leftover, how long should each piece be?
Find the highest common factor of 120 and 210
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
The highest common factor of 120 and 210 = 30
Therefore, the smallest and longest pieces should be cut into 30 inches each
B. Total Smaller pieces of wood = piece 1 / 30 + piece 2 / 30
= 120/30 + 210/30
= 4 + 7
= 11 pieces
