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 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 April 12th, 2018, 07:16 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 07:24 PM. April 12th, 2018, 07:58 PM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,145 Thanks: 1003 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, 08:11 PM   #3
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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 08:14 PM. April 13th, 2018, 04:30 AM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,145 Thanks: 1003 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. Tags litres, milk, solution Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Ganesh Ujwal Elementary Math 16 April 12th, 2018 11:08 PM Chikis Elementary Math 7 August 14th, 2014 09:01 AM Adrian Physics 7 February 14th, 2012 12:10 PM wickedcharchar Elementary Math 3 March 13th, 2008 09:38 AM

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