Let's define $x$ as the cost of each juice bottle.

Step 1: Write the equation

The total cost includes the cost of the bag of popcorn and the 24 juice bottles. The cost of the 24 juice bottles is $24x$, where $x$ is the price of one juice bottle.

The total cost before tax was $31.19, and the cost of the popcorn was $1.67. Therefore, the equation is: $1.67 + 24x = 31.19$

Step 2: Solve for $x$

First, subtract the cost of the popcorn from both sides: $24x = 31.19 - 1.67$ $24x = 29.52$

Now, divide both sides by 24 to find $x$: $x = \frac{29.52}{24}$ $x = 1.23$

Thus, each juice bottle costs $1.23.

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Would you like further clarification or details on any step? Here are five questions related to this problem:

1. What would the total cost be if Samir bought 30 juice bottles instead?
2. How would you calculate the total cost including a sales tax of 7%?
3. What if the cost of the popcorn was $2.50 instead—how would that affect the price per juice bottle?
4. Can you set up and solve a similar equation if the total cost before tax was $40?
5. How would the equation change if Samir got a discount on the juice bottles?

Tip: Always isolate the variable step by step, moving constants to the other side of the equation first!