SOLUTION: a winery wishes to make 10,000 litres of cherry wine by fortifying white wine which has an alcohol content of 10% and with brandy which has an alcohol content of 35% by volume.the

Question 193167: a winery wishes to make 10,000 litres of cherry wine by fortifying white wine which has an alcohol content of 10% and with brandy which has an alcohol content of 35% by volume.the cherry is to have an alcohol content of 15%. determine the quantities of white and brandy wine which should be mixed together to produce the desire results.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a winery wishes to make 10,000 litres of cherry wine by fortifying white wine
which has an alcohol content of 10% and with brandy which has an alcohol content
of 35% by volume.the cherry is to have an alcohol content of 15%. determine the
quantities of white and brandy wine which should be mixed together to produce the desire results.
:
Let x = amt of brandy wine required
:
Total qty is to be 10000 liters, therefore:
(10000-x) = amt of white wine required
:
the amt of alcohol equation:
.35x + .10(10000-x) = .15(10000)
:
.35x + 1000 - .10x = 1500
:
.35x - .10x = 1500 - 1000
:
.25x = 500
x =
x = 2000 liters of brandy
and
10000-2000 = 8000 liters of white wine
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