Two syrups

There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same?

Correct answer:

V1 =  5/3 = 1 23 l

Step-by-step explanation:

V2=3 l r1 = 3:2 r2 = 4:5  S=W  S1 = 3+23 V1 S2 = 4+54 V2  53 V1+94 V2=2V1+V2 53 V1+94 3=2V1+3  3/5 V1+4/9 3=(V1+3)/2  9V1=15  V1=915=1.66666667  V1=351.666667=35 l=1.6667 l



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