Question 258810
F-liters of 5% solution
T-liters of 10% solution
1.Volume equation:{{{F+T=2}}}
2.Concentration equation: {{{5F+10T=7(F+T)=7(2)=14}}}
Use eq. 1 to solve for F in terms of T and substitute into eq.2,
{{{F+T=2}}}
{{{F=2-T}}}
2. {{{5F+10T=14}}}
{{{5(2-T)+10T=14}}}
{{{10-5T+10T=14}}}
{{{5T=4}}}
{{{T=4/5}}}
Then from eq. 1,
{{{F=2-T}}}
{{{F=10/5-4/5}}}
{{{F=6/5}}}
Use 4/5 liter of 5% solution and 6/5 liter of 10% solution.