Question 65511
x = liters of alcohol to be added to the 50 liters mixture
{{{.25*50}}} = liters of alcohol already in the mixture
{{{(.25*50 + x) / 50 = .45}}}
{{{(12.5 + x) / 50 = .45}}}
{{{12.5 + x = 50 * .45}}}
{{{x = 22.5 - 12.5}}}
{{{x = 10}}}
Answer: add 10 liters of alcohol to the 50 liters of 25% mixture
to get a 45% mixture
check
{{{(.25*50 + x) / 50 = .45}}}
{{{(.25*50 + 10) / 50 = .45}}}
{{{(12.5 + 10) = 50* .45}}}
{{{22.5 = 22.5}}}
OK