SOLUTION: 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

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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
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
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
           
         | 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:

   %28matrix%284%2C1%2CTotal%2Cvalue%2Cof%2Calmonds%29%29%22%22%2B%22%22%28matrix%284%2C1%2CTotal%2Cvalue%2Cof%2Cpeanuts%29%29 %22%22=%22%22 %28matrix%284%2C1%2CTotal%2Cvalue%2Cof%2Cmixture%29%29

   $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