Mr. Jeremy has three pieces of streamer of length 150 cm, 240 cm and 300 cm. He wishes to cut the three pieces of streamer into smaller pieces of equal length with no remainder.
- What is the greatest possible length of each of the smaller pieces of streamer?
- How many of the smaller pieces of streamer of equal length can he get?
(a)
Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Factors of 240:1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Factors of 300:1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The highest common factor of 150, 240 and 300 is 30.
Greatest possible length of each smaller piece of streamer = 30 cm
(b)
Total length of streamer
= 240 + 300 + 150
= 690 cm
Number of smaller pieces
= 690 ÷ 30
= 23
Answer(s): 30 cm; (b) 23