The ratio of milk and water in 55 liters of mixture is 7: 4. How much water must be added to make the mixture’s ratio 7: 6 (in liters)?
Answers
Answer:
MARK AS BRAINLIEST ANSWER.
Explanation:
→ what is rule of alligation?
→ It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price. A process or rule for the solution of problems concerning the compounding or mixing of ingredients differing in price or quality.
→ By the rule of alligation:
→ water concentration
original solution water
4/11 1
6/13(mixture)
7/13 14/143
→ therefore water must be added to the mixture in the ratio.
→ 14/143 : 7/13
→ 2:11
→ quantity of water to be added
→ 2/11 × 55
→ 10 litres.
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In the mixture of 55 litres, let 7x part contains milk and 4x part contains water.
By the question, the mixture contains two types of solution
Therefore,
Total amount of mixture=Mixture of milk+Mixture of water
55 = 7x + 4x
=>55 = 11x
=>x = 5
Putting the value of x in 7x and 4x, we get
7×5 = 35 , 4×5 = 20
Therefore, the ratio is 35/20 = 7/4 = 7 : 4
Now, y should be added to both the mixture to get a ratio of 7 : 6
( 7 + y ) : ( 4 + y ) = 7 : 6
=> 7( 7 + y ) = 6( 4 + y )
=> 49 + 7y = 24 + 6y
=> 7y - 6y = 24 - 49
=> y = - 25
As negative value is not valid, therefore the value of y = 25
Therefore, 25 litres should be added to each of the mixtures to get a ratio of 7 : 6