Question
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One can holds 473 milliliters of juice. Is a four-pack of the cans of juice greater than, than, or equal to 2 liters? Use unit analysis to solve this conversion problem. \( (1 L=1000 \mathrm{~mL}) \)

Ask by Stanley Byrd. in the United States
Feb 28,2025

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Tutor-Verified Answer

Answer

A four-pack of cans holds 1.892 liters, which is less than 2 liters.

Solution

Each can holds 473 mL. For a four-pack, the total amount is:   4 × 473 mL = 1892 mL Now, using the conversion 1 L = 1000 mL, convert 1892 mL to liters:   1892 mL ÷ 1000 = 1.892 L Since 1.892 L is less than 2 L, the four-pack does not hold 2 liters—it holds less.

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Bonus Knowledge

To determine if a four-pack of cans holds more than, less than, or equal to 2 liters, we can start by calculating the total volume in milliliters: \(4 \text{ cans} \times 473 \text{ mL/can} = 1892 \text{ mL}\). Next, we convert 2 liters to milliliters: \(2 \text{ L} = 2000 \text{ mL}\). Comparing the two, \(1892 \text{ mL} < 2000 \text{ mL}\). So, the volume of juice in the four-pack is less than 2 liters. To really grasp unit analysis and conversions, think of it as a math dance where everything needs to match up perfectly. A common mistake is simply multiplying quantities without converting units first. Always check that your units align! When you're converting, keep your conversion factors handy – they'll be your best friends in solving similar problems, making them a breeze!

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