To calculate the total number of gallons of soda purchased, we need to follow these steps:

1. Determine the total number of cans:

   • You bought 10 cases of soda, and each case contains 24 cans. $10 \, \text{cases} \times 24 \, \text{cans/case} = 240 \, \text{cans}$

2. Find the total fluid ounces of soda:

   • Each can holds 12 fluid ounces. So the total amount of soda in fluid ounces is: $240 \, \text{cans} \times 12 \, \text{fluid ounces/can} = 2880 \, \text{fluid ounces}$

3. Convert fluid ounces to gallons:

   • There are 128 fluid ounces in a gallon. So the total amount of soda in gallons is: $\frac{2880 \, \text{fluid ounces}}{128 \, \text{fluid ounces/gallon}} = 22.5 \, \text{gallons}$

Thus, you purchased 22.5 gallons of soda.

Would you like further details or have any questions?

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Here are 5 related questions to expand your understanding:

1. How would the amount of soda change if you bought 15 cases instead of 10?
2. What if each can contained 16 fluid ounces instead of 12?
3. How many fluid ounces are there in 5 gallons of soda?
4. How many gallons would you get from just one case of soda?
5. What is the total number of cans required to make exactly 30 gallons of soda?

Tip: Always check unit conversions when solving such problems, as fluid ounces, liters, and gallons can differ significantly depending on the system used.