Question 1088063

A bartender needs to make 5 gallons of a mixed drink containing 12% alcohol. she is going to combine a 10% with a 15% alcohol. how much of each should she use?
<pre>Let amount of 10% alcohol to mix, be T
Then amount of 15% alcohol needed = 5 - T
We then get the following MIXTURE equation: .1T + .15(5 - T) = .12(5)
.1T + .75 - .15T = .6
.1T - .15T = .6 - .75
- .05T = - .15
T, or {{{highlight_green(matrix(1,11, amount, of, "10%", alcohol, to, mix, "=", (- .15)/(- .05), "=", 3, gallons))}}}
{{{highlight_green(matrix(1,10, Amount, of, "15%", alcohol, to, "mix:", 5 - 3, "=", 2, gallons))}}}