A girl has a red ribbon 720 cm and a green ribbon 980 cm long. She wants to decorate her Room, so she decides to cut ribbons into pieces of equal length. What is the longest piece she Cut with no wastage of ribbon?
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Step-by-step explanation:
red ribbon =720
White ribbon=980
longest pieces=green ribbon
wastage of ribbon=980-720=260
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by Ayansh Vaishya
Answered by
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Answer:
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.
Step-by-step explanation:
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