Answer :
Answer: There are 4 blue ribbons, 5 silver ribbons and 3 yellow ribbons.
Step-by-step explanation:
Since we have given that
Length of blue ribbon is sold in rolls = 15 m
Length of silver ribbon is sold in rolls = 12 m
Length of yellow ribbon is sold in rolls = 20 m
We need to find the smallest number of rolls of each type :
For this we will find "L.C.M of 15,12 and 20".
L.C.M of 15,12 and 20 = 60
So, Number of rolls of blue ribbon is given by
[tex]\frac{60}{15}=4[/tex]
Number of rolls of silver ribbon is given by
[tex]\frac{60}{12}=5[/tex]
Number of rolls of yellow ribbon is given by
[tex]\frac{60}{20}=3[/tex]
Hence, there are 4 blue ribbons, 5 silver ribbons and 3 yellow ribbons.
Final answer:
Mrs. Grey should buy 4 rolls of blue ribbon, 5 rolls of silver ribbon, and 3 rolls of yellow ribbon to have equal lengths of each color, with the total length being 60 meters for each color.
Explanation:
To find the smallest number of rolls of each type of ribbon (blue, silver, and yellow) that Mrs. Grey should buy, we need the least common multiple (LCM) of the lengths of the ribbons she wishes to purchase. The lengths are 15 meters for blue, 12 meters for silver, and 20 meters for yellow.
The LCM of 15, 12, and 20 is 60. This means Mrs. Grey should aim for each color ribbon to total 60 meters to ensure she has the same length of each ribbon.
By dividing the LCM by the length of each ribbon, we determine the minimum number of rolls needed: for blue (60 / 15 = 4 rolls), for silver (60 / 12 = 5 rolls), and for yellow (60 / 20 = 3 rolls).
Therefore, Mrs. Grey should buy 4 rolls of blue ribbon, 5 rolls of silver ribbon, and 3 rolls of yellow ribbon to achieve her goal of having the same length of each ribbon color.