two vessels contains equal quantity of mixture of milk and water in the ratio 8:9 and 12:5 respectively . both the mixtures are now mixed throughly. Find the ratio of milk of to water in the new mixture so obtained.??
Answers
Answer:
10:7
Step-by-step explanation:
two vessels contains equal quantity of mixture of milk and water in the ratio 8:9 and 12:5 respectively . both the mixtures are now mixed throughly. Find the ratio of milk of to water in the new mixture so obtained.??
Let say Each Vessel has = 17M Mixture
First Veseel
Milk : Water = 8:9
Milk = (8/17) * 17M = 8M
Water = 9M
Second Vessel
Milk : Water = 12:5
Milk = (12/17) * 17M = 12M
Water = 5M
Total Mixture on adding = 17M + 17M = 34M
Milk = 8M + 12M = 20M
Water = 9M + 5M = 14M
the ratio of milk of to water in the new mixture so obtained = 20 : 14
= 10:7
Answer:
Ratio of milk of to water in the new mixture obtained when both mixtures are mixed is 10 : 7.
Step-by-step explanation:
Given:
Ratio of the Milk and water in the 1st mixture = 8 : 9
Ratio of the Milk and water in the 2nd mixture = 12 : 5
To find: Ratio of milk of to water in the new mixture obtained when both mixtures are mixed.
Let the Quantity of both mixtures is x
Total part of the ratio in 1st mixture = 8 + 9 = 17
Quantity of milk in 1st mixture = 8/17 × x = 8x/17
Quantity of water in 1st mixture = 9/17 × x = 9x/17
Total part of the ratio in 2nd mixture = 12 + 5 = 17
Quantity of milk in 2nd mixture = 12/17 × x = 12x/17
Quantity of water in 2nd mixture = 5/17 × x = 5x/17
Total Quantity of milk in new mixture = 8x/17 + 12x/17 = 20x/17
Total Quantity of water in new mixture = 9x/17 + 5x/17 = 14x/17
Ratio of milk to water in new mixture = 20x/17 : 14x/14 = 20x : 14x = 20 : 14 = 10 : 7
Therefore, Ratio of milk of to water in the new mixture obtained when both mixtures are mixed is 10 : 7.