Alcohol mixing

How much 55% alcohol must we pour into 1500 g 80% alcohol to form a 60% alcohol? How much is 60% alcohol created?

Correct answer:

x =  6000 g
y =  7500 g

Step-by-step explanation:

m2=1500 g  0.55 x+0.80 m2=0.60 y x+m2=y 0.55 x+0.80 1500=0.60 y x+1500=y  0.55x0.6y=1200 xy=1500  Pivot:Row1Row2 xy=1500 0.55x0.6y=1200  Row20.54999999999995 Row1Row2 xy=1500 0.05y=375  y=0.05375=7500.00000001 x=1500+y=1500+7500.00000001=6000.00000001=6000 g  x=6000 y=7500



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