Three vessels contain 1 by 5 litres,3 by 10 litres and 3 by 8 litres of milk these vessels are
emptied into an empty can. How much milk is there in the can?
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••• Step - 1 •••
• Capacity of 1st vessel = 10 l
Milk : Water = 2 : 1
Ratio sum = 2 + 1 = 3
Milk = (2/3) × 10 = (20/3) l
Water = (1/3) × 10 = (10/3) l
• Capacity of 2nd vessel = 10 l
Milk : Water = 3 : 1
Ratio sum = 3 + 1 = 4
Milk = (3/4) × 10 = (15/2) l
Water = (1/4) × 10 = (5/2) l
• Capacity of 3rd vessel = 10 l
Milk : Water = 3 : 2
Ration sum = 3 + 2 = 5
Milk = (3/5) × 10 = 6 l
Water = (2/5) × 10 = 4 l
••• Step - 2 •••
Now, three vessels are emptied into a single large vessel.
Total capacity = (10 + 10 + 10) = 30 l
Milk = (20/3) + (15/2) + 6 = (121/6) l
Water = (10/3) + (5/2) + 4 = (59/6) l
Milk : Water = (121/6) : (59/6) = 121 : 59
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Answer:
lcm=40
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