Problema Solution

Brewmistress Barbara has a vat containing 80 liters of her beer, which has an alcohol content of 8%. She is cheap and unethical, so she plans to add some bud lite (4% alcohol content) to the vat in order to dilute her beer to 7% alcohol content. How many liters of bud lite must she add to her vat?

Answer provided by our tutors

let


b = liters of bud to be added


the 8% of alcohol in 80 liters + 4% of alcohol in b liters = 7% of alcohol in (80 + b) liters


0.08*80 + 0.04*b = 0.07(80 + b)


by solving the equation we find


b = 26.67 liters


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She must add 26.67 liters of bud lite.