Question

Calculate the fluid intake in milliliters. Use the following equivalents for the problems below: 1 cup \(=8\) oz, 1 glass \(=4\) oz. Calculate the following individual items and give the total number of milliliters: 3 Popsicles ( 3 oz each) \(1 / 2\) qt iced tea \(11 / 2\) glasses water 12 oz soft drink Total \(\mathrm{mL}=\) ______

Short answer

1745.84 mL

Step-by-step solution

Convert Measurements to Ounces

Start by noting the volumes given in ounces and convert other given units to ounces. - Popsicles: 3 popsicles, each 3 oz, so total is \(3 \times 3 = 9\) oz.- Iced tea: \(\frac{1}{2}\) quart; since 1 quart is 32 oz, \(\frac{1}{2}\) quart is \(32 \times \frac{1}{2} = 16\) oz.- Water: \(\frac{11}{2}\) glasses; since 1 glass is 4 oz, \(\frac{11}{2} \times 4 = 22\) oz.- Soft drink: 12 oz. Hence, all quantities are now in ounces.

Sum All Ounces

Add up all the ounces calculated for each drink.- Popsicles: 9 oz- Iced tea: 16 oz- Water: 22 oz- Soft drink: 12 ozTotal fluid intake in ounces = \(9 + 16 + 22 + 12 = 59\) oz.

Convert Ounces to Milliliters

Use the conversion factor where 1 oz is approximately equivalent to 29.5735 milliliters to find the total milliliters.\[59 \, \text{oz} \times 29.5735 \, \text{mL/oz} = 1745.8365 \, \text{mL}\]Therefore, total fluid intake is about 1745.84 milliliters.

Key concepts

Measurement Conversion

Understanding measurement conversion is essential in various fields, especially when you need to work with different units. Measurement conversion involves changing a particular quantity from one unit to another, which is crucial in solving many mathematical problems. Let's delve into why this matters:

• First, it ensures consistency. When all measurements are in the same unit, calculations become more straightforward.
• In practical scenarios, you might face a situation where data is provided in different units, like the cups and glasses in our exercise.
• To convert measurements, you multiply or divide by a conversion factor. For example, in the exercise, you have to convert ounces to milliliters using the factor 1 oz = 29.5735 mL.

Measurement conversion is a powerful skill that helps you to accurately interpret and calculate different quantities using a unified measurement system.

Volume Conversion

Volume conversion focuses on translating different units of volume into a single unit, making it easier to compute totals and comparisons. Volume, essentially the amount of space that a substance occupies, can be measured in various units such as quarts, cups, glasses, and ounces. Let's understand this better with some key aspects:

• In our example, a glass is given as 4 oz, so any measurement in glasses has to be converted to ounces for uniformity.
• Similarly, other drinks need to be converted to one uniform unit before adding them up. Such as quarts being converted to ounces for the iced tea mentioned in the exercise.
• This helps us in performing accurate and efficient calculations, as volumes expressed in a single unit, like ounces, are easier to work with computationally.

Volume conversion allows us to seamlessly add, subtract, or compare different volume measurements, simplifying problem-solving in daily life and academic exercises alike.

Mathematical Problem Solving

Mathematical problem solving requires a clear process of thinking, often involving several steps to piece together different pieces of information. Here’s how it is applied:

• Break the problem into individual components. For instance, you address each beverage separately in our exercise.
• Calculate and convert each component properly. Like the iced tea in quart being split into ounces first.
• Sum up all components once they are uniform. After ensuring all drinks are in ounces, add them up to find a total volume in ounces.

Finally, you convert the total ounces to milliliters using what you know about conversions. This applies both logical reasoning and knowledge of math to arrive at the solution. Mathematical problem-solving is not just about following procedures but truly understanding each step's purpose in a broader context.