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January 9th, 2017, 09:31 PM  #1 
Member Joined: May 2015 From: Australia Posts: 59 Thanks: 6  Algebra  Year 10 Problem Solving
Jay has 13kg of almonds costing \$5 per kg. How many kg of cashews costing \$12 per kg should be added to get a mixture of the two nut types which would cost \$7.45 per kg? The answer is: 7kg I don't know how to solve this problem. Could someone give me some hints? Last edited by skipjack; January 10th, 2017 at 02:52 AM. 
January 9th, 2017, 09:52 PM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,678 Thanks: 1339  Quote:
solve for x, the number of kg of cashews Last edited by skipjack; January 10th, 2017 at 02:52 AM.  
January 10th, 2017, 02:44 AM  #3 
Member Joined: Sep 2016 From: India Posts: 88 Thanks: 30 
$13(\$5) + x(\$12) = (13+x)(\$7.45)$ $65+12x=96.85+7.45x$ $12x7.45x=96.8565$ $4.55x=31.85$ $x=7kg$ 

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