Mr. Perry has three pieces of streamer of length 50 cm, 60 cm and 100 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 50: 1, 2, 5, 10, 25, 50
Factors of 60:1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 100:1, 2, 4, 5, 10, 20, 25, 50, 100
The highest common factor of 50, 60 and 100 is 10.
Greatest possible length of each smaller piece of streamer = 10 cm
(b)
Total length of streamer
= 60 + 100 + 50
= 210 cm
Number of smaller pieces
= 210 ÷ 10
= 21
Answer(s): 10 cm; (b) 21