The problem involves determining the equation that represents the total cost of snacks for 22 players, where each snack includes a bottle of water and an energy bar. Here's the step-by-step breakdown:

1. Unknown Quantity:
   The unknown is the price of a bottle of water. Let $w$ represent this price.

2. Total Cost:
   The coach spends $77 in total.

3. Cost per Player:
   Each player gets a bottle of water ($w$) and an energy bar, which costs $2.
   So, the cost per player is $w + 2$.

4. Equation:
   Since there are 22 players, the total cost is:
   $22 \cdot (w + 2) = 77$

This equation can be simplified or solved further if needed.

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5 Related Questions:

1. What is the price of a bottle of water when solving $22(w + 2) = 77$?
2. How would the equation change if there were 25 players instead of 22?
3. What if the energy bar price changed to $3—how would that affect the total cost?
4. How can you write an equation for a similar problem involving 30 players?
5. How do you verify the solution to ensure it satisfies the equation?

Tip: Always check the equation units (e.g., dollars, players, items) to ensure accuracy when setting up a problem.