# SOLUTION: 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 r

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 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 r      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Mixtures Solvers Lessons Answers archive Quiz In Depth

 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.Answer by math-vortex(472)   (Show Source): You can put this solution on YOUR website!Hi, there-- . [I] Define the variables s = the amount of soybean oil (in oz.) c = the amount of canola oil (in oz.) . [II] Write equations showing the relationships. There are 5.1 oz. of vegetable oil, so [amount of soybean oil] + [amount of canola oil] = [amount of vegetable oil] . The cost of the mixture equals the cost of the ingredients. We get the cost of an oil by multiplying the price for each ounce by the number of ounces in the mixture. . [cost of soybean oil in mix] + [cost of canola in mix] = [cost of vegetable oil mixture] . An expression for the cost of the soybean oil is 2.45s An expression for the canola oil is 1.40c An expression for the vegetable oil is (2.10)*(5.1) . . Simplify. . . [III] Solve the system of equations Rewrite the first equation in terms of s. . Substitute 5.1-c for s in the second equation. . Simplify and solve for s. . The equation c = 1.7 means that there are 1.7 oz. of canola oil. Since there are 5.1 oz. in the mixture, there are 5.1-1.7 = 3.4 oz. of soybean oil. . [IV] Check the oil amounts in the cost equation. Bingo!!! . That's it. Feel free to email me via gmail if this explanation is unclear. . Ms.Figgy math.in.the.vortex@gmail.com 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.