Answered

a thirty pound bag of coffee mixture is to be made from a type of coffee that sells for $9.20 per pound and $11.00 per pound. If the mixture is to have a price of $10.28 how much of each type is included?



Answer :

The system is something like this (you get fractional parts):
[tex]x+y=1 \\ 9.2x+11y=10.28 \\ \\ 11x+11y=11 \\ 9.2x+11y=10.28 \\ 1.8x=.72 \\ x=\frac{\frac{18}{25}}{\frac{9}{5}}=\frac{18}{25}*\frac{5}{9}=\frac{2}{5}[/tex]
You get 2 parts of $9.20 coffee and 3 parts of $11 coffee in the mixture.

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