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.