document.write( "Question 1154855: a grocer buys cashews for $9 per kg and peanuts for $4.50 per kg. She wants to sell nuts individually, and she also makes 12 kg of a peanut-cashew mix which costs him $6 per kg. How many kg of nut does the grocer require to make the mix? \n" ); document.write( "
Algebra.Com's Answer #777361 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "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.

\n" ); document.write( "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.)

\n" ); document.write( "That means 1/3 of the mixture must be the more expensive cashews.

\n" ); document.write( "ANSWER: 1/3 of the 12kg, or 4kg, of cashews; 8 kg of peanuts.

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