The volume of three containers is same
The ratios of milk to waterin the three contain
ers are 3:2, 73 and 11:4 respectively. If the
content of the three containers is mixed to
gether what will be the new ratio of milk to
water?
Answers
Answer:
The ratio of milk to water in three containers of equal capacity is 3 : 2, 7 : 3 and 11 : 4 respectively. The three containers are mixed together. What is the ratio of milk to water after mixing?
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Let the capacity of each container be x.
Now, in first container there are 3 parts of milk and 2 parts of water. Mathematically it can be written as:
3/5x milk and 2/5x water.
Similarly, second container has 7/10x milk and 3/10x water.
And, third container has 11/15x milk and 4/15x water.
Now, after mixing:
Total milk = (3/5+7/10+11/15)x = 61/30x
Total water = (2/5+3/10+4/15)x = 29/30x
So, milk to water ratio is (61/30x)/(29/30x)
So, milk to water ratio is 61/29.
Answer:
Let the quantity of mixture in each container be x. Then,
Sulphuric acid in 1 st container =53x Water in 1 st container =52x
Sulphuric acid in 2 nd container =107x Water is 2nd container =103x
Sulphuric acid in 3rd container =1511x
Water in 3rd container =154x∴ Required ratio =(53x+107x+1511x):(52x+103x+154x)=(6036+42+44):(6024+18+16)=122:58=61:29.