My Math Forum A Milk solution of 60 litres contain....

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 April 12th, 2018, 08:16 PM #1 Senior Member   Joined: Aug 2014 From: India Posts: 343 Thanks: 1 A Milk solution of 60 litres contain.... A Milk solution of 60 litres contains 80% milk. How many litres of another milk solution containing 90% milk should be added to make an 84% milk solution? [Ans: 40 lit] I tried: $\dfrac {80}{100}\times \dfrac {M}{60}$ = $\dfrac {M}{25}$ calculation of second sentence: $\dfrac {M}{60}\times \dfrac {84}{100}$ = $\dfrac {21 M}{1500}$ calculation of first part in second sentence: $\dfrac {M}{60}\times \dfrac {90}{100}$ Final equation: $\dfrac {M}{60}\times \dfrac {90}{100} = \dfrac {M}{25} - \dfrac {21 M}{1500}$ I gone too far, is my approach right or wrong? if wrong, tell me the correct procedure. Last edited by Ganesh Ujwal; April 12th, 2018 at 08:24 PM.
 April 12th, 2018, 08:58 PM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,608 Thanks: 954 Code:  60 : 80 x : 90 ------------ 60+x : 84 (80*60 + 90*x) / (60 + x) = 84 4800 + 90x = 84(60 + x) 4800 + 90x = 5040 + 84x Can you finish it?
April 12th, 2018, 09:11 PM   #3
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Joined: Aug 2014
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Quote:
 Originally Posted by Denis 60.....5040 + 84x Can you finish it?
You need to tell me why is my approach wrong otherwise feel free to ignore this question.

I am following this equation:

$\text{Concentration} = \dfrac{\text{Amount of milk}}{\text{Total amount of liquid}}$

Last edited by Ganesh Ujwal; April 12th, 2018 at 09:14 PM.

 April 13th, 2018, 05:30 AM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,608 Thanks: 954 Code: QUANTITY PERCENTAGE a : u b : v -------------------- a+b : w FORMULA: (a*u + b*v) / (a+b) = w I agree with you when you said you're not dumb, so I'm sure you can figure out (by using above) why your approach is not the correct approach. Have a good day.

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