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Isabella buys a 1.75 litre carton of apple juice.
What is the largest number of 200 millilitre glasses that she can have from the carton?
glasses
The correct Answer and Explanation is:
To determine the largest number of 200 milliliter (mL) glasses Isabella can pour from a 1.75-liter carton of apple juice, we need to convert the volume of juice from liters to milliliters and then divide by the size of each glass.
Step 1: Convert Liters to Milliliters
Since 1 liter equals 1,000 milliliters, we can convert the 1.75 liters of apple juice into milliliters:
[
1.75 \, \text{liters} \times 1000 \, \text{mL/liter} = 1750 \, \text{mL}
]
This means that Isabella has 1,750 milliliters of juice in total.
Step 2: Calculate the Number of Glasses
Next, we divide the total volume of apple juice by the volume of each glass, which is 200 milliliters:
[
\frac{1750 \, \text{mL}}{200 \, \text{mL/glass}} = 8.75 \, \text{glasses}
]
Since she cannot pour a fraction of a glass, Isabella can pour a maximum of 8 full glasses of 200 milliliters each.
Explanation:
In this problem, we needed to solve how many complete 200 milliliter glasses Isabella can pour from a 1.75-liter (1,750 milliliter) carton of juice. To do this, we first converted the volume from liters to milliliters, knowing that 1 liter equals 1,000 milliliters. Once we had the total amount of juice in milliliters, we divided that by the size of each glass (200 milliliters). This division gave us 8.75 glasses, which means she can pour 8 full glasses and still have some leftover juice. Since the question asks for the largest number of full glasses, the answer is 8 glasses.
This type of problem involves unit conversion and division and is a practical application of basic arithmetic that can be useful in everyday scenarios, such as serving drinks or measuring portions.