solving a percent mixture.pdf - ALEKS 5*43 PM Student Name:Student Student Acavali3 Date Systems of Equations and Matrices Solving a percent mixture

# solving a percent mixture.pdf - ALEKS 5*43 PM Student...

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8/20/19, 5*43 PM ALEKS Page 1 of 2 Student Name:Student Acavali3 Student Acavali3 Date:08/20/2019 08/20/2019 Systems of Equations and Matrices Solving a percent mixture problem using a system of linear equations A chemical company makes two brands of antifreeze. The first brand is pure antifreeze, and the second brand is pure antifreeze. In order to obtain gallons of a mixture that contains pure antifreeze, how many gallons of each brand of antifreeze must be used? First brand: _____ gallons Second brand: _____ gallons We need to find the amount of each brand that must be used. Let be the amount (in gallons) of the first brand that must be used. Let be the amount (in gallons) of the second brand that must be used. We can organize the information in a table. First brand Second brand Mixture Amount of antifreeze solution (in gallons) Percentage that is pure antifreeze Amount of pure antifreeze (in gallons) We have that gallons of the first brand is being added to gallons of the second brand to produce gallons of a mixture. Similarly, we add the amounts of pure antifreeze from each brand to find the total amount of pure antifreeze in the mixture. Sample Question 70% 90% 140 75% Explanation x y x y 140 70% 90% 75% 0.7 x 0.9 y 105 x y 140 = + x y 140
8/20/19, 5*43 PM ALEKS Page 2 of 2 This gives us a system of two equations. Using the ALEKS graphing calculator , we find that and . Tools Note How can I use the ALEKS graphing calculator to solve the given system? Show me So, the company must use gallons of the first brand and gallons of the second brand. First brand: gallons Second brand: gallons = + 0.7 x 0.9 y 105 = x 105 = y 35 105 35 Answer 105 35