Question 902895
how many pounds of almonds selling for $3 per pound should be mixed with 7
pounds of peanuts selling for $1.20 per pound to obtain a mixture worth $1.74
per pound
<pre>           
         | number | price |           |
         |   of   |  per  |   Total   |
         | pounds | pound |   Value   |  
---------|--------|-------|---------=-|
almonds  |    x   | $3.00 |  $3.00x   |
---------|--------|-------|-----------|
peanuts  |    7   | $1.20 | $1.20(7)  |
---------|--------|-------|-----------|
mixture  |   x+7  | $1.74 |$1.74(x+7) |
--------------------------------------|

The equation comes from:

   {{{(matrix(4,1,Total,value,of,almonds))}}}{{{""+""}}}{{{(matrix(4,1,Total,value,of,peanuts))}}} {{{""=""}}} {{{(matrix(4,1,Total,value,of,mixture))}}}

   $3.00x + $1.20(7) = $1.74(x+7)
       300x + 120(7) = 174(x+7)
          300x + 840 = 174x + 1218
                126x = 378
                   x = 3

Answer:  3 pounds.

Edwin</pre>