Question 356464

Let A be the amount of 40% solution, B the amount of 25% solution.
Volume:
1.{{{A+B=24}}}
Concentration:
{{{40A+25B=30(24)}}}
2.{{{8A+5B=144}}}
Multiply eq. 1 by (-5) and add to eq. 2 to eliminate B and solve for A.
{{{-5A-5B+8A+5B=-120+144}}}
{{{3A=24}}}
{{{highlight(A=8)}}}gallons
Then from eq. 1,
{{{8+B=24}}}
{{{highlight(B=16)}}}gallons