Question 1159052
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The setup for the traditional algebraic solution....<br>
5 ml of 2%, plux x ml of 6%, equals (5+x) ml of 5%:
{{{.02(5)+.06(x) = .05(5+x)}}}
{{{0.1+.06x = .25+.05x}}}
{{{.01x = .15}}}
{{{x = .15/.01 = 15}}}<br>
ANSWER: 15 ml of the 6% sandalwood.<br>
A much faster and easier solution method -- if a formal algebraic solution is not required....<br>
5% is 3/4 of the way from 2% to 6%; therefore 3/4 of the mixture must be the 6% sandalwood.  So the 5 ml of 2% is 1/4 of the mixture; that means the amount of 6% sandalwood is 15 ml.<br>