Question 165563
</pre><font size=4><b>
Remember: {{{A+W=40lbs}}} -------------> EQN 1
Now the mixture for both w/ repective rate:
{{{1.60A+1.10W=1.25(40lbs)}}} ---------> EQN 2
In EQN 1, we get,
{{{W=40-A}}} --------------------------> EQN 3
Subst. EQN 3 in EQN 2:
{{{1.60A+1.10(40-A)=1.25(40)}}}
{{{1.60A+44-1.10A=50}}}
{{{0.50A=50-44=6}}}
{{{cross(0.50)A/cross(0.50)=cross(6)44/cross(0.50)}}}
{{{highlight(A=12lbs)}}}
Via EQN 3:
{{{W=40-12}}} ---> {{{highlight(W=28lbs)}}}
In doubt? Go back EQN 2:
{{{1.60(12)+1.10(28)=1.25(40)}}}
{{{19.2+30.8=50}}}
{{{50=50}}}
Thank you,
Jojo</pre>