SOLUTION: Zelda wishes to mix almonds worth $9.60 per pound with cashews worth $10.27 per pound to make 250 pounds of a mixture worth $9.93 per pound. Hiw much of each type of nut should sh

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Question 892008: Zelda wishes to mix almonds worth $9.60 per pound with cashews worth $10.27 per pound to make 250 pounds of a mixture worth $9.93 per pound. Hiw much of each type of nut should she use?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Zelda wishes to mix almonds worth $9.60 per pound with cashews worth $10.27 per pound to make 250 pounds of a mixture worth $9.93 per pound. Hiw much of each type of nut should she use?
Make this chart:
            
          |  Number | Price  | Money |
          | of lbs. | per lb.| value |
----------|---------|--------|-------|
Almonds   |         |        |       | 
----------|---------|--------|-------|
Cashews   |         |        |       |
----------|---------|--------|-------|
Nut mix   |         |        |       | 
--------------------------------------

Let x = the number of lbs. of almonds.  So put in x.
Also put in the three given prices per pound.  Also the
given number of pounds of nut mix:

          |  Number | Price  | Money |
          | of lbs. | per lb.| value |
----------|---------|--------|-------|
Almonds   |    x    |  $9.60 |       | 
----------|---------|--------|-------|
Cashews   |         | $10.27 |       |
----------|---------|--------|-------|
Nut mix   |   250   |  $9.93 |       | 
--------------------------------------

To find the expression for the number of lbs. of cashews,
Subtract: 250 lbs of mixed nuts MINUS x lbs of almonds, 
or 250-x

          |  Number | Price  | Money |
          | of lbs. | per lb.| value |
----------|---------|--------|-------|
Almonds   |    x    |  $9.60 |       | 
----------|---------|--------|-------|
Cashews   |  250-x  | $10.27 |       |
----------|---------|--------|-------|
Nut mix   |   250   |  $9.93 |       | 
--------------------------------------

To find the money value of each, multiply the number of lbs.
of each by the price per lb.

          |  Number | Price  |    Money      |
          | of lbs. | per lb.|    value      |
----------|---------|--------|---------------|
Almonds   |    x    |  $9.60 |    $9.50x     | 
----------|---------|--------|---------------|
Cashews   |  250-x  | $10.27 | $10.27(250-x) |       
----------|---------|--------|---------------|
Nut mix   |   250   |  $9.93 |  $9.93(250)   | 
---------------------------------------------

The equation comes from:

       %28matrix%285%2C1%2C%0D%0AMoney%2Cvalue%2Cof%2Cthe%2Calmonds%29%29%22%22%2B%22%22%28matrix%285%2C1%2C%0D%0AMoney%2Cvalue%2Cof%2Cthe%2Ccashews%29%29 %22%22=%22%22 %28matrix%286%2C1%2C%0D%0AMoney%2Cvalue%2Cof%2Cthe%2Cmixed%2Cnuts%29%29

         9.50x%22%22%2B%22%2210.27%28250-x%29 %22%22=%22%22 9.93%28250%29

Solve that to find the number of lbs. of almonds.  Then to find the
number of lbs. of cashews, subtract that from from 250.

Edwin