Please solve this Q 12 A milkman has 80 % milk in his stock of 800 litres of adulterated - Maths - Linear Inequalities

Question

Please solve this
Q 12 A milkman has 80 % milk in his stock of 800 litres of
adulterated milk How much 100 % pure milk is added to it so that
purity is between 90 % and 95 %?

Shruti Tyagi · Accepted Answer

Dear student,

Let x litres of 100% pure milk be added to 800 litres adulterated milf for desired puritythen, (800+x)×90100<800×80100+x<(800+x)×95100⇒(800+x)×90<800×80+100x<(800+x)×95⇒72000+90x<64000+100x<76000+95x⇒72000+90x<64000+100x and 64000+100x<76000+95x⇒72000-64000<100x-90x  and  100x-95x<76000-64000⇒8000<10x  and  5x<12000⇒x>800 and x<2400∴   800<x<2400For desired purity of milk, the milkman is free to add any quantity from 800 litres to 2400 litres of 100% pure milk

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Please solve this Q.12. A milkman has 80 % milk in his stock of 800 litres of adulterated milk. How much 100 % pure milk is added to it so that purity is between 90 % and 95 %?

Please solve this
Q.12. A milkman has 80 % milk in his stock of 800 litres of adulterated milk. How much 100 % pure milk is added to it so that purity is between 90 % and 95 %?