Question

Katherine bought snacks for her team's practice. She bought a bag of chips for $2.70 and a 12-pack of juice bottles. The total cost before tax was $15.78. Write and solve an equation which can be used to determine xx, how much each bottle of juice cost.


Equation:_____

Answer 1

To find the cost of each bottle of juice, we can start by setting up an equation. Let's denote \( x \) as the cost of each bottle of juice.

Katherine bought a bag of chips for $2.70 and a 12-pack of juice bottles, which can be expressed as \( 12x \) (since there are 12 bottles and each costs \( x \)). The total cost before tax is $15.78.

We can set up the equation as follows:

\[
2.70 + 12x = 15.78
\]

Now, we will solve for \( x \):

1. Subtract the cost of the chips from the total cost:

\[
12x = 15.78 - 2.70
\]

2. Perform the subtraction:

\[
12x = 13.08
\]

3. Now, divide both sides by 12 to find \( x \):

\[
x = \frac{13.08}{12}
\]

4. Calculate \( x \):

\[
x = 1.09
\]

This means that the cost of each bottle of juice is $1.09.

So the equation and solution can be summarized as:
- **Equation:** \( 2.70 + 12x = 15.78 \)
- **Cost of each bottle of juice:** \( x = 1.09 \)