Page 6. 22. A dietician needs to adjust the nutrients provided to a patient with
ID: 3033312 • Letter: P
Question
Page 6. 22. A dietician needs to adjust the nutrients provided to a patient with problems digesting food, and recommends supplements be added to smoothies in addition to of patient's regular diet. This patient needs 18 units of soy protein daily and 15 units calcium supplements daily. At the hospital pharmacy two types of combination are available. Type 10 units of protein and 25 units of calcium per ounce, and type Y has 16 units of soy protein and 8 units of calcium per ounce. How much of each type should this patient purchase to supply these needs for 90 days? (we assume that the patient doesn't want to be left with any unused supplement.) in the work space below, display the equations you are solving to produce your answer. Decimal answers, rounded to nearest tenth ounce, are acceptible. (8 points total on this problem.) Amount of Type X with units Amount of Type Y with units:Explanation / Answer
patient need : 18 units of soy and 15 units of Ca
In 90 days this would be soy = 18*90 ; Ca = 15*90
X : 10 units of soy and 25 units of Ca
Y : 16 units of soy and 8 units of Ca
Soy required in 90 days : (10X +16Y) = 18*90
10x +16y = 1620 ---(1)
Ca required in 90 days : 25X + 8Y =1350
25x+8y = 1350 ---(2)
solve equation 1 and 2 :
we get x = 27 units; y = 84.4 units
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