A mixture of peanuts and walnuts sells for $3 per pound. How many pounds of peanuts at $1.50 per pound should be mixed with 12 pounds of walnuts at $4 per pound
x(1.5) + 12(4) = (x+12) * 3
1.5 x = 12
x = 8
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check
8*1.5 + 12*4 = 60
8+12 = 20 pounds total
20 * 3 = 60
To determine the number of pounds of peanuts to mix with the walnuts, we need to find the ratio of the prices of peanuts and walnuts.
Let's assume the number of pounds of peanuts is x.
The cost of peanuts is $1.50 per pound, so the total cost of peanuts will be 1.5x dollars.
The cost of walnuts is $4 per pound, so the total cost of walnuts will be $4 * 12 = $48.
Since the total cost of the mixture is $3 per pound, the total cost of nuts in the mixture is 3 * (x + 12).
We can now set up an equation to solve for the value of x:
1.5x + 48 = 3(x + 12)
First, distribute the 3 on the right side of the equation:
1.5x + 48 = 3x + 36
Next, subtract 1.5x from both sides:
48 = 1.5x + 36
Then, subtract 36 from both sides:
12 = 1.5x
Finally, divide both sides by 1.5 to solve for x:
x = 8
So, you should mix 8 pounds of peanuts at $1.50 per pound with 12 pounds of walnuts at $4 per pound to get the desired mixture.