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Juan is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts that
Juan is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts that will provide 250 grams of carbohydrates, 150 grams of fat, and 100 grams of protein. He knows that each cup of rice provides 47.6 grams of carbohydrates and 2 grams of protein, but no fat at all. Each cup of tofu provides 5.6 grams of carbohydrates, 5 grams of fat, and 25.6 grams of protein. Finally, each cup of peanuts provides 31.5 grams of carbohydrates, 68 grams of fat, and 28 grams of protein. How many cups of rice, tofu, and peanuts should he eat? Write a system of equations and then solve using the calculator and a matrix. Do not solve by hand. {If necessary, give at least 3 decimal places.} cups of rice: cups of tofu: cups of peanuts:
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