Samir bought snacks for his team's practice. He bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. The total cost before tax was $31.19. Write and solve an equation which can be used to determine xx, how much each bottle of juice cost.

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!

Samir bought snacks for his team's practice. He bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. The total cost before tax was $31.19. Write and solve an equation which can be used to determine x, how much each bottle of juice cost.

Learn how to solve a linear equation where Samir bought popcorn and juice bottles for a total of $31.19. This example explains how to find the cost of each juice bottle using algebraic techniques. Suitable for Grades 6-8.

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