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Calculate the fluid intake in milliliters. Use the following equivalents for the problems below: 1 cup \(=8\) oz, 1 glass \(=4\) oz. A client had the following at lunch: \(1 / 4\) glass of apple juice 8 oz chicken broth 6 oz gelatin dessert \(1^{3 / 4}\) cups of coffee Total \(\mathrm{mL}=\) ______

Short Answer

Expert verified
858 mL

Step by step solution

01

Convert Glasses to Ounces

The client had \( \frac{1}{4} \) of a glass of apple juice. Since 1 glass equals 4 oz, \( \frac{1}{4} \) glass equals \( \frac{1}{4} \times 4 = 1 \) oz.
02

Calculate Total Ounces from Chicken Broth

The client had 8 oz of chicken broth, which is already in ounces, so no conversion is needed here. Add this to our total fluid intake in ounces.
03

Add Gelatin Dessert Ounces

The client consumed 6 oz of gelatin dessert, adding another 6 oz to the total fluid intake in ounces.
04

Convert Cups to Ounces

The client had \( 1^{3/4} \) cups of coffee. Since 1 cup equals 8 oz, \( 1^{3/4} \) cups is equivalent to \( 1.75 \times 8 = 14 \) oz.
05

Sum Up Total Fluid Ounces

Add up all the fluid ounces: - Apple juice: 1 oz - Chicken broth: 8 oz - Gelatin dessert: 6 oz - Coffee: 14 oz Total fluid = 1 + 8 + 6 + 14 = 29 oz.
06

Convert Ounces to Milliliters

To convert ounces to milliliters, multiply the total ounces by 29.5735 (since 1 oz = 29.5735 mL).\( 29 \text{ oz} \times 29.5735 \text{ mL/oz} = 857.6315 \text{ mL} \).
07

Final Answer for Total Fluid Intake in Milliliters

Round the result to the nearest whole number if needed. Thus, the total fluid intake is approximately 858 mL.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Unit Conversion
Understanding unit conversion is essential when dealing with different measurement systems, especially when they are mixed in a single problem. In our exercise, we had to take volumes measured in cups and glasses and convert them into ounces before converting to milliliters.
  • Cups and glasses are common household units for liquids, but in clinical settings, ounces and milliliters are more frequently used.
  • One cup is equivalent to 8 ounces, while one glass measures up to 4 ounces.
Converting between these units is crucial to ensuring accuracy in calculations. By converting everything to ounces first in our calculation, it becomes much easier to handle the final conversion to milliliters. It's always wise to keep track of what each unit represents to avoid confusion.
Clinical Calculation
Clinical calculations are often necessary in healthcare to ensure patients receive the correct amount of fluids. Accurate calculations prevent errors that could lead to overhydration or dehydration.
  • Calculating fluid intake involves summing all the liquid consumed by a patient over a certain time period.
  • In our exercise, the total fluid intake included several components, like apple juice, chicken broth, gelatin dessert, and coffee.
  • Each part must be converted to a common unit before being summed up.
The successful completion of these calculations helps healthcare providers monitor and adjust patient care plans as needed, highlighting the importance of accuracy in clinical settings.
Milliliters to Ounces Conversion
The conversion between milliliters and ounces is a common task, especially in clinical and culinary contexts.
  • There are approximately 29.5735 milliliters in one fluid ounce.
  • This conversion factor enables the conversion of fluid volumes from ounces to milliliters by simple multiplication.
In our example, calculating the total volume in ounces first allowed us to use the conversion factor and find the equivalent in milliliters. Performing this conversion ensures that the measurement aligns with international standards, as milliliters are part of the metric system which is widely used in healthcare around the world.

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