Question 133445
(total amount of salt) / (amount of solution) = 6%
Let {{{a}}}= amount of 8% solution to be added
Let {{{b}}}= amount of 5% solution to be added
{{{(.08a + .05b) / (a + b) = .06}}}
{{{a + b = 36}}}
{{{b = 36 - a}}}
{{{(.08a + .05b) / 36 = .06}}}
{{{(.08a + .05(36 - a)) / 36 = .06}}}
multiply both sides by {{{36}}}
{{{.08a + .05(36 - a) = 2.16}}}
{{{.08a + 1.8 - .05a = 2.16}}}
{{{.03a = .36}}}
{{{a = 12}}}oz
{{{b = 36 - a}}}
{{{b = 36 - 12}}}
{{{b = 24}}}
12 oz of the 8% solution and 24 oz of the 5% solution are needed
check:
{{{(.08a + .05b) / 36 = .06}}}
{{{(.08*12 + .05*24) / 36 = .06}}}
{{{(.96 + 1.2) / 36 = .06}}}
{{{.96 + 1.2 = 2.16}}}
{{{2.16 = 2.16}}}
OK