Question 323862
Let A be the weight of almonds, P the weight of peanuts.
1.{{{A+P=10}}}
2.{{{5A+3P=4.60(10)=46}}}
Multiply eq. 1 by -5 and add to eq. 2,
{{{-5A-5P+5A+3P=-50+46}}}
{{{-2P=-4}}}
{{{P=2}}}
Then from eq. 1,
{{{A+2=10}}}
{{{A=8}}} 
8 lbs of almonds and 2 lbs of peanuts.