The manager of a zoo wants to feed the gorillas a diet high in protein but low in calories from a combination of broccoli and bananas. Each cup of broccoli contains 2.5 grams of protein and 34 calories. Each cup of bananas contains 1.6 grams of protein and 133 calories. The zoo manager wants to be sure the gorillas receive at least 160 grams of protein from a diet consisting of at least 16 cups of broccoli and at least 25 cups of bananas each day. How many cups of each food should the zoo manager feed to the gorillas each day to minimize their calorie intake?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.3: Solving Problems With Two Variables
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The manager of a zoo wants to feed the gorillas a diet high in protein but low in calories from a combination of broccoli and bananas. Each cup of broccoli contains 2.5 grams of protein and 34 calories. Each cup of bananas contains 1.6 grams of protein and 133 calories. The zoo manager wants to be sure the gorillas receive at least 160 grams of protein from a diet consisting of at least 16 cups of broccoli and at least 25 cups of bananas each day. How many cups of each food should the zoo manager feed to the gorillas each day to minimize their calorie intake?

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