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

Answer
Attempt 1 out of 2

Equation:
Answer: xx =

Answer 1

To determine the cost of each bottle of juice (let's call it \( x \)), we first need to establish the total cost of the items Katherine bought.

1. The cost of the bag of chips is $2.70.
2. The total cost before tax is $15.78.
3. She bought a 12-pack of juice bottles, so the total cost of the juice can be expressed as \( 12x \), where \( x \) is the cost of one bottle.

The equation that represents the total cost can be set up as follows:

\[ 2.70 + 12x = 15.78 \]

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

1. Subtract 2.70 from both sides of the equation:

\[ 12x = 15.78 - 2.70 \]

Calculating the right side:

\[ 15.78 - 2.70 = 13.08 \]

So we have:

\[ 12x = 13.08 \]

2. Now, divide both sides by 12:

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

Calculating that gives:

\[ x = 1.09 \]

Thus, the cost of each bottle of juice is \( x = 1.09 \).

Answer: \( x = 1.09 \)