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\( 0 / 1 \) \( 0.0 \% \) 17- Fouad started with \( 4 / 5 \) quart of apple Juice. The amount shows is how much he has left Determine how much apple juice Fouad used. a) \( 3 / 15 \mathrm{qt} \) b) \( 2 / 15 \mathrm{qt} \) c) \( 4 / 15 \mathrm{qt} \) d) \( 1 / 15 q t \)

Ask by Ramos Salinas. in Saudi Arabia
Feb 03,2025

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Answer

Fouad used \( \frac{12}{15} \) quart of apple juice, which is equivalent to \( \frac{4}{5} \) quart. However, none of the provided options match this amount.

Solution

To determine how much apple juice Fouad used, we need to know how much he started with and how much he has left. 1. **Known Conditions:** - Initial amount of apple juice: \( \frac{4}{5} \) quart - Amount left: \( 0 \) quart (since \( 0 / 1 \) and \( 0.0 \% \) indicate that he has no juice left) 2. **Calculation of the amount used:** - The amount of apple juice used can be calculated by subtracting the amount left from the initial amount: \[ \text{Amount used} = \text{Initial amount} - \text{Amount left} \] Substituting the known values: \[ \text{Amount used} = \frac{4}{5} - 0 \] Since \( 0 \) is equivalent to \( 0 / 1 \), we can express it in terms of a common denominator: \[ 0 = \frac{0}{1} = \frac{0 \cdot 5}{1 \cdot 5} = \frac{0}{5} \] Now we can perform the subtraction: \[ \text{Amount used} = \frac{4}{5} - \frac{0}{5} = \frac{4}{5} \] 3. **Finding the equivalent fraction in terms of 15:** To compare with the options given, we need to convert \( \frac{4}{5} \) to a fraction with a denominator of 15: \[ \frac{4}{5} = \frac{4 \cdot 3}{5 \cdot 3} = \frac{12}{15} \] 4. **Conclusion:** Since Fouad started with \( \frac{4}{5} \) quart and has \( 0 \) quart left, he used \( \frac{12}{15} \) quart of apple juice. However, this value does not match any of the options provided. Let's check the options again: - a) \( \frac{3}{15} \mathrm{qt} \) - b) \( \frac{2}{15} \mathrm{qt} \) - c) \( \frac{4}{15} \mathrm{qt} \) - d) \( \frac{1}{15} \mathrm{qt} \) None of these options match the calculated amount of \( \frac{12}{15} \) quart. It seems there might be a misunderstanding in the problem statement regarding the amount left. If we assume that the amount left is not zero, we need that information to proceed. Please clarify the amount of apple juice left, or if there is any additional information.

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Bonus Knowledge

To find out how much apple juice Fouad used, we'll start with the initial amount he had, which is \( \frac{4}{5} \) quart, and subtract the amount left (which is \( 0 \) since it's not given). Assuming he used all of it, we can focus on achieving a common denominator for fractions. If we want to express \( 4/5 \) in terms of fifteenths, we can convert it: \( \frac{4}{5} = \frac{12}{15} \). Since he has none left, that means he used \( \frac{12}{15} \) quart. If we subtract any residual amounts (like those proposed options), we can figure out how much he used directly from subtracting the remaining amount from the total. In this simple calculation, if he used the suggested amounts, the one that makes sense is checking the proposals versus our calculated total of \( \frac{12}{15} \) quart. However, with no further context on amounts left, we derive strictly from his starting point. The answer that makes the most sense based upon subtraction from the total beginning amount. Given \( a) = \frac{3}{15} \), \( b) = \frac{2}{15} \), \( c) = \frac{4}{15} \), \( d) = \frac{1}{15} \), and inferring he used none left gives you a direct range of how much was consumed. Ultimately, he’s drunk his juice and needs a refill! If we proceed logically, taking plausible consumption aside from the available options concludes Aspiring for the median approach, giving buoyance to correct arithmetic tells us he drank \( \frac{12-15}{15} \) leading us bazaars in his quenching thirst. Be keen to focus on clearly stated assumptions in juice portions for a no-drain debate on metaphoric quantities! 🍏🧃

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