Let $j$ represent the cost of each bottle of juice.

Step 1: Write the equation

Sarah bought:

• A bag of chips for $1.56
• A 20-pack of juice bottles, where each bottle costs $j$.

The total cost before tax was $33.96, so we can set up the equation:

$1.56 + 20j = 33.96$

Step 2: Solve for $j$

Subtract 1.56 from both sides of the equation to isolate the term with $j$:

$20j = 33.96 - 1.56$

$20j = 32.40$

Now, divide both sides by 20 to solve for $j$:

$j = \frac{32.40}{20}$

$j = 1.62$

Conclusion

Each bottle of juice costs $1.62.

Would you like further explanation or have any questions?

Here are 5 related questions for further practice:

1. If Sarah had bought two bags of chips, what would the new total be?
2. What would be the total cost if each juice bottle was $0.20 cheaper?
3. How much would the total be if she bought 15 juice bottles instead of 20?
4. If tax is added at 8%, what is the total cost after tax?
5. What is the percentage of the total cost that was spent on the chips?

Tip: When solving word problems, always start by identifying the variables and writing an equation that represents the situation.