Question 1040660
Let {{{X}}} be the number of ounces of 14% alloy.
Let {{{Y}}} be the number of ounces of 24% alloy.
So the total weight equation is,
1.{{{X+Y=100}}}
and the total concentration equation is,
{{{14X+24Y=20(X+Y)}}}
{{{14X+24Y=20(100)}}}
{{{14X+24Y=2000}}}
2.{{{7X+12Y=1000}}}
Multiply equation 1 by -12 and add to equation 2 to solve for X.
{{{-12X+7X-12Y+12Y=-1200+1000}}}
{{{-5X=-200}}}
{{{X=40}}}
So then from eq. 1,
{{{40+Y=100}}}
{{{Y=60}}}