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A two-litre bottle of orange juice is \( \frac{3}{10} \) full. How much orange inice is this?

Ask by Franklin Savage. in Australia
Dec 16,2024

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The bottle contains 0.6 litres of orange juice.

Solution

To find out how much orange juice is in a two-litre bottle that is \(\frac{3}{10}\) full, you can multiply the total volume of the bottle by the fraction that represents how full it is. \[ \text{Amount of orange juice} = \text{Total volume} \times \text{Fraction full} \] Substituting the values: \[ \text{Amount of orange juice} = 2 \, \text{litres} \times \frac{3}{10} \] Calculating this: \[ \text{Amount of orange juice} = 2 \times \frac{3}{10} = \frac{6}{10} = 0.6 \, \text{litres} \] So, the bottle contains **0.6 litres** of orange juice.

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The amount of orange juice in the bottle can be calculated by multiplying the total volume of the bottle by the fraction that is full. So, \(2 \, \text{litres} \times \frac{3}{10} = \frac{6}{10} \, \text{litres} = 0.6 \, \text{litres}\). Therefore, there is 0.6 litres of orange juice in the bottle! For some extra fun, did you know that orange juice has been a breakfast staple for decades? It became widely popular in the early 20th century when the introduction of refrigerated transport made it easier to get fresh oranges to consumers year-round. So, every time you pour a glass, you’re partaking in a history of culinary convenience! Next time you're mixing drinks at a party, consider adding some orange juice to your cocktails! It pairs beautifully with vodka for a refreshing screwdriver or can be mixed into a tropical punch. Just remember, when pouring those drinks, using a measuring cup can help you keep track of how much juice you're using, especially to keep the ratios perfect for that ideal taste!

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