document.write( "Question 597360: Vegetable oil which costs $2.10/oz is made by combining soybean oil which costs $2.45/oz with canola oil which costs $1.40/oz. Find the number of oz of soybean oil and canola oil required to make 5.1 oz of vegetable oil. \n" ); document.write( "

Algebra.Com's Answer #716081 by amalm06(224) $\"\"$ $\"About$

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The problem can be solved quickly and easily using the method of alligation.\r
\n" ); document.write( "\n" ); document.write( "Let \"c\" denote canola oil and \"s\" denote soybean oil\r
\n" ); document.write( "\n" ); document.write( "We will find the ratio of canola oil to soybean oil in 1 oz of the mixture and then use that information to find the amounts of canola oil and soybean oil in 5.1 oz of the mixture\r
\n" ); document.write( "\n" ); document.write( "2.10-1.40=0.70\r
\n" ); document.write( "\n" ); document.write( "2.45-2.10=0.35\r
\n" ); document.write( "\n" ); document.write( "Therefore, C/S=0.35/0.70\r
\n" ); document.write( "\n" ); document.write( "Thus, for every 1.05 parts of total mixture, there are 0.35 parts of canola oil\r
\n" ); document.write( "\n" ); document.write( "If there are 5.1 oz of total mixture, then the amount of canola oil is\r
\n" ); document.write( "\n" ); document.write( "C=(0.35/1.05)(5.1)=1.70 oz (Answer)\r
\n" ); document.write( "\n" ); document.write( "S=5.1-1.70=3.40 oz (Answer) \n" ); document.write( "

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