To find the cost of each bottle of juice, we can set up an equation based on the information given.
Let \( x \) be the cost of each bottle of juice. Since Hudson bought a 10-pack of juice bottles, the total cost of the juice bottles would be \( 10x \).
According to the problem, the total cost before tax for the apples and the juice is $7.39. We can set up the equation as follows:
\[ 1.59 + 10x = 7.39 \]
Now we can solve for \( x \):
- Subtract the cost of the bag of apples from both sides:
\[ 10x = 7.39 - 1.59 \]
- Calculate the right side:
\[ 10x = 5.80 \]
- Divide both sides by 10 to find \( x \):
\[ x = \frac{5.80}{10} \] \[ x = 0.58 \]
Thus, the cost of each bottle of juice is $0.58.