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A store sells cashews for $6.00 per pound. and peanuts for $2.50 per pound...

 A store sells cashews for $6.00 per pound and peanuts for $2.50 per pound. The manager decides to mix 20  pounds of peanuts with cashews and sell the mixture for $4.00 per pound . How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
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2 Answers

Hey Kevin -- the cashew-peanut spread is $3.50 ... we want to land 15/35ths thru that gap
 
to $4 ... the 35ths are split 20:15 ==> 15lb of cashews: 20lb peanuts mix ... Regards :)
 X - Amount of Cashew mixed
 20 - amount of peanuts mixed
 
   X ( $6.00) + ( 20) ) $2.50 = ( X +20) $4 .00
 
    X ( 6)  + 50 =4X + 80  
    
       2X = 30
 
         X = 15