Subjects unit conversion

Water Needed F8Aa96

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Question: Five students are going backpacking in the desert. Each student requires 2 qt of water per day. How many gallons of water should the students take for a 3-day trip? The answer is 7$\frac{1}{2}$
1. **State the problem:** Five students need water for a 3-day trip. Each student requires 2 quarts (qt) of water per day. We need to find the total amount of water in gallons. 2. **Formula and units:** Total water needed = Number of students $\times$ water per student per day $\times$ number of days. 3. **Calculate total quarts:** $$5 \times 2 \times 3 = 30 \text{ quarts}$$ 4. **Convert quarts to gallons:** Since 1 gallon = 4 quarts, we convert quarts to gallons by dividing by 4. $$\frac{30}{4} = \frac{\cancel{30}}{\cancel{4}} = 7.5 \text{ gallons}$$ 5. **Express as mixed fraction:** $$7.5 = 7 \frac{1}{2} \text{ gallons}$$ **Final answer:** The students should take 7$\frac{1}{2}$ gallons of water for the 3-day trip.