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.

Question

Equation:

Answer: x =

Answer 1

Let's denote the cost of each bottle of juice as \( x \).

Katherine bought a bag of chips for $2.70 and a 12-pack of juice bottles. The total cost of the chips and the juice can be expressed as follows:

The cost of the bag of chips is \( 2.70 \), and the cost of the 12-pack of juice bottles is \( 12x \) (since there are 12 bottles and each costs \( x \)).

The total cost before tax is given as \( 15.78 \).

We can set up the equation:

\[ 2.70 + 12x = 15.78 \]

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

1. Subtract \( 2.70 \) from both sides:

\[ 12x = 15.78 - 2.70 \]

\[ 12x = 13.08 \]

2. Now, divide both sides by 12:

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

3. Calculate \( x \):

\[ x = 1.09 \]

Therefore, the cost of each bottle of juice is

\[ \boxed{1.09} \]