Question 1154855
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If a formal algebraic solution is not required, here is a quick and easy way to the solution to this or any other mixture problem involving two ingredients.<br>
The target price of $6 per kg is 1/3 of the way from the $4.50 per kg price of the peanuts to the $9 per kg price of the cashews.  (Picture the three prices on a number line; 6.00 is 1/3 of the way from 4.50 to 9.00.)<br>
That means 1/3 of the mixture must be the more expensive cashews.<br>
ANSWER: 1/3 of the 12kg, or 4kg, of cashews; 8 kg of peanuts.<br>