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A milkman has 80 % of milk in his stock of 800 litres of adulterated milk . How much 100 % milk to be added to give certain ... in his stock of 800 litres of adulterated milk . How much 100 % milk to be added to it so that the purity of milk is between 90 % and 95 %. Let x litres 100 % pure milk need to be added in 800 litres of milk

A milkman has 80% of milk in his stock of 800 litres of adulterated milk. How much 100% milk to beadded to give certain ... in his stock of 800 litres of adulterated milk. How much 100% milk to beadded to it so that the purity of milk is between 90% and 95%. Let x litres 100% pure milk need to beadded in 800 litres of milk

Grade:12

2 Answers

Abel Manoj
16 Points
4 years ago
To keep the milk between 90%-95% we must add the 100%milk greater than or equal to 800 liters and less than or equal to 2400 liters
to make the milk 99% pure we must add 72800 liters of milk
Vikas TU
14149 Points
4 years ago
Dear student 
1
Here's an approach using logic rather than algebra. Consider adding the same volume of milk as the original but at 100% purity.
800l @ 80 % (original)
800l @ 100% (adding same volume at 100% purity)... (1)
1600l@ 90% (resultant*, by simple average)
1600l@ 100% (adding same volume at 100% purity)... (2)
3200l@ 95% (resultant*, by simple average)
Hence, from (1) and (1)+(2), you need to add between 800-2400l of 100% milk to give a resultant purity of 90%-95%.

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