I. Directions:Read each problem and answer the following questions. (3pts each)
1.Donna has two-piece red ribbon measuring 45cm long and 36 cm long.Find the greatest length into which the ribbon can be cut without wasting any material.
Answer:____________________________.
2. Allen jogs around a park every 4 days. His friend,Ronnel jogs every 3 days. If they will start jogging on the first day of the month,when will they jog together?
Answer:______________________________.
Answers
Answer:
Shobha has two pieces of ribbon. The one piece is 720 cm and the other is 900 cm long. She wants to cut both ribbons into strips of equal length that are as long as possible. How long should each strip be?
Myriam Kobylkevich
Answered 2 years ago
Shobha has two pieces of ribbon. The one piece is 720 cm and the other is 900 cm long. She wants to cut both ribbons into strips of equal length that are as long as possible. How long should each strip be?
180 cm.
900=90×10=90×(2×5)=(90×2)×5=180×5 and
720=90×8=90×(2×4)=(90×2)×4=180×4
180 is the greatest common factor for 900 and 720.
It is obvious that both ribbons can be cut into 90-cm long strips (10 strips for the 900-cm ribbon and 8 strips for the 720-cm ribbon), but because 10 and 8 are even, you could tie together pieces in pairs to make 5 tied-up strips from the 900-cm ribbon, and 4 from the 720-cm ribbon. Better yet, just cut 5 180-cm strips from the 900-cm ribbon, and 4 180-cm strips from the 720-cm ribbon.