To determine how much each bottle of juice costs, let's break down the given information.

• Sarah bought a bag of chips for $1.56.
• She bought a 20-pack of juice bottles, and we need to find how much each bottle costs, which we will represent by $jj$ (where $jj$ is the price of one bottle of juice).
• The total cost before tax was $33.96.

Step 1: Set up an equation

We know that:

• The cost of the bag of chips is $1.56.
• The cost of the 20-pack of juice bottles is $20 \times jj$ (since there are 20 bottles, and each costs $jj$).

The total cost is the sum of the bag of chips and the cost of the juice pack: $1.56 + 20 \cdot jj = 33.96$

Step 2: Solve the equation

To solve for $jj$, follow these steps:

1. Subtract the cost of the chips from both sides of the equation: $20 \cdot jj = 33.96 - 1.56$ $20 \cdot jj = 32.40$

2. Divide both sides of the equation by 20 to isolate $jj$: $jj = \frac{32.40}{20}$ $jj = 1.62$

Thus, each bottle of juice costs $1.62.

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Would you like further explanation or have any questions? Here are some related questions for further exploration:

1. How would the total cost change if Sarah bought a 30-pack of juice bottles instead of a 20-pack?
2. If the total cost was $40, how much would each bottle of juice cost?
3. What would happen to the cost per bottle if Sarah bought a single juice bottle instead of a 20-pack?
4. How could we represent the total cost before tax if Sarah bought 3 different items instead of just two (chips, juice)?
5. How do we account for tax in a similar problem?

Tip: Always isolate the variable (in this case, the cost per bottle) by performing the opposite operations in the equation, such as subtracting or dividing.