A dietitian wishes to plan a meal around three foods. Each ounce of food A contains 10% of the daily requirements for carbohydrates, 10% for protein, and 15% for vitamin D. Each ounce of food B contains 10% of the daily requirements for carbohydrates, 5% for protein, and 0% for vitamin D. Each ounce of food C contains 10% of the daily requirements for carbohydrates, 12.5% for protein, and 10% for vitamin D. Let x, y, and z, respectively, be the number of ounces of foods A, B, and C required in order to supply exactly the daily requirements for each nutrient. Find them by setting up a system of equations and solving it.