• anonymous
a certain food contains 8 units per ounce of vitamin B1 and 12 units per ounce of Vitamin c. A second food contains 12 and 14 units per ounce of vitamins R1 an C, respectively. How many ounces of each are required for a meal that will contain 100 units of vitamin B` and 120 units of vitamin c?
MIT 18.06 Linear Algebra, Spring 2010
  • Stacey Warren - Expert
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  • anonymous
Let x & y be the ounces of each types of food required. Then total units of vit B1 & C obtained are 8x+12y and 12x+14y resp. Equating them with the vitamin requirement, we have: \[8x+12y=100 ; 12x+14y=120\] Solving them we get x=1.25 and y=7.5

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