Raisins sell fro $4.50/lb and bran flakes sell for $2.80/lb. How many pounds of raisins must be mixed with 12 pounds of bran flakes to get a mixture that sells for $3.14/lb ?

Answer:The quantity of raisins that will be mix with 12 pounds of bran flake to get mixture  is 3 pounds .  Step-by-step explanation:Given as :The cost of Raisins = $ 4.50 per lbThe cost of bran flakes = $ 2.80 per lbThe quantity of bran flakes = 12 poundsThe cost of mixture = $ 3.14 per lbLet The quantity of raisins added to the mixture = x poundsNow, According to questionThe cost of Raisins × The quantity of raisins + The cost of bran flakes × The quantity of bran flakes = The quantity of mixture × The cost of mixtureOr, ( $ 4.50 per lb  × x pounds ) + (  $ 2.80 per lb × 12 pounds ) = (  $ 3.14 per lb × ( x pounds + 12 pounds ) )Or,  ( $ 4.50 per lb  × x pounds ) + 33.6  = ( $ 3.14 per lb × x ) + 37.68or, ( $ 4.50 per lb  × x pounds )  -  ( $ 3.14 per lb × x ) = 37.68 - 33.60Or, 1.36 x  = 4.08∴  x = 3 poundsHence The quantity of raisins that will be mix with 12 pounds of bran flake to get mixture  is 3 pounds .   Answer