Question 285941
In words:
(ounces of alcohol in final solution)/(total ounces of final solution) = 41%
Let {{{x}}} = ounces of 40% alcohol solution needed
{{{.45*5 = 2.25}}}ounces of alcohol in 45% solution
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{{{(.4x + 2.25)/(x + 5) = .41}}}
{{{.4x + 2.25 = .41*(x + 5)}}}
{{{.4x + 2.25 = .41x + 2.05}}}
{{{.01x = 2.25 - 2.05}}}
{{{.01x = .2}}}
{{{x = 20}}}
20 ounces of a 40% alcohol solution are needed
check:
{{{(.4x + 2.25)/(x + 5) = .41}}}
{{{(.4*20 + 2.25)/(20 + 5) = .41}}}
{{{(8 + 2.25)/25 = .41}}}
{{{10.25 = 25*.41}}}
{{{10.25 = 10.25}}}
OK