SOLUTION: This is a mixture problem under Solution by Elimination. A farmer keeps some animals on a strict diet. Each animal is to receive 15 grams of protein and 7.5 grams of carbohydrate

Question 119601: This is a mixture problem under Solution by Elimination. A farmer keeps some animals on a strict diet. Each animal is to receive 15 grams of protein and 7.5 grams of carbohydrates. The farmer uses two food mixes: Mix A = 12% protein and 9% carbohydrates; Mix B = 15% protein and 5% carbohydrates. How many grams of each mix should be used to provide the correct nutrients for each animal? The textbook is Intermediate Algebra 7th Ed. by Gustafson/Frisk. ISBN 0-534-46342-8 and the question is on pg. 173 question 64.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
looking at protein __ (12%)A+(15%)B=15 __ 12A+15B=1500

looking at carbohydrates (9%)A+(5%)B=7.5 __ 9A+5B=750 __ 27A+15B=2250

subtracting the protein equation from the carbohydrate equation gives 15A=750 __ A=50

12(50)+15B=1500 __ 600+15B=1500 __ 15B=900 __ B=60
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