Let's break down the problem from the image:

Emma bought:

• A bag of chips for $2.27.
• A 24-pack of juice bottles, and we need to determine the price of one juice bottle (denoted as $j$).

The total cost before tax was $51.23. We are tasked with writing an equation to solve for $j$, the cost of one juice bottle.

Step-by-Step:

1. The cost of the chips is already known: $2.27.
2. The cost of the juice pack is $24 \times j$ because there are 24 bottles, each costing $j$.
3. The total cost is the sum of the chips and the juice, which equals $51.23.

Equation:

$2.27 + 24j = 51.23$

Solve for $j$:

$24j = 51.23 - 2.27$ $24j = 48.96$ $j = \frac{48.96}{24}$ $j = 2.04$

Final Answer:

The cost of one bottle of juice is $j = 2.04$.

Would you like more details or have any questions about this? Here are some related questions:

1. What would the total cost be if Emma had bought two bags of chips?
2. How would the equation change if there were 30 bottles of juice instead of 24?
3. If the price of the chips was increased by 50%, how would that affect the total?
4. What if Emma had a discount of $5 on the total purchase? How would the equation adjust?
5. How would you solve this problem if the total cost included tax?

Tip: Always verify the solution by substituting the value of $j$ back into the original equation to ensure accuracy.