Question

Milk solution A contains 10% milk and milk solution B contains 9 litres of milk. When the two solutions are mixed, the resultant mixture contains 12% milk. If the volume of solution B is one-third the volume of solution A what is the combined volume of the resultant mixture?

200​

Answer 1

Answer:

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Answer 2

Explanation:

Given Milk solution A contains 10% milk and milk solution B contains 9 litres of milk. When the two solutions are mixed, the resultant mixture contains 12% milk. If the volume of solution B is one-third the volume of solution A what is the combined volume of the resultant mixture?

• Let the milk solution A have a total volume V
• So the volume of milk in solution A is V/10
• Similarly let the milk solution B have a total volume V1
• So the volume of milk is 9
• Now volume of solution B is 1/3 volume of solution A
• So V1 = V / 3
• Now the two solutions are mixed,
• So total volume of milk will be V/10 + 9
• According to the question percentage of milk is  
•  (V / 10 + 9 ) / (V + V / 3) x 100 = 12
• V + 90 / 10 / 3V + V / 3 x 100 = 12
• Or 15 V + 1350 = 24 V
• Or 9 V = 1350
• Or V = 1350 / 9
• Or V = 150
• Now V1 = V/3
•              = 150 / 3
•      Or V1 = 50
• Therefore total volume V + V1
•                                  = 150 + 50
•                                  = 200 litres.

Reference link will be

https://brainly.in/question/20595990