A milkman has 80% milk in his stock of 800 litres of adulterated milk How much 100% pure milk - Maths - Linear Inequalities

Question

A milkman has 80% milk in his stock of 800 litres of adulterated
milk How much 100% pure milk is to be added to it so that purity is
between 90% and 95% How much pure milk should he add to his stock
to obtain 99% of pure milk ? What should be done to stop
adulteration in foods?

Aarushi Mishra · Accepted Answer

Adulterated milk contains 80% pure milkAmount of pure milk in 800 litres of adulterated=80100×800=640 litresLet the amount of pure milk added to 800 litres of adulterated milk be x litres The milk content of the mixtured form=Amount of pure milk contentTotal volume of the mixture×100=x+640800+x×100=100x+64000800+xFirst,90<100x+64000800+x<9590800+x<100x+64000<95800+x72000+90x<100x+64000<76000+95xConsider100x+64000<76000+95x5x<76000-640005x<12000x<2400Now consider72000+90x<100x+6400010x>72000-6400010x>8000x>800Hence, 800

A milkman has 80% milk in his stock of 800 litres of adulterated milk. How much 100% pure milk is to be added to it so that purity is between 90% and 95%. How much pure milk should he add to his stock to obtain 99% of pure milk ? What should be done to stop adulteration in foods?