Final answer:
To determine the cost per juice bottle, Nayeli's total expense of $9.70 for the bag of chips and the 10 juice bottles was used to set up the equation 3 + 10x = 9.70. Solving for x yields a cost of 67 cents per bottle of juice.
Step-by-step explanation:
Nayeli is calculating the cost of snacks for her team's practice, and we need to find out how much each bottle of juice cost. To solve this, we will use a simple algebraic equation based on the information provided.
Let's call the cost of each juice bottle x. Since she bought a 10-pack of juice bottles, the total cost for the juice will be 10x. We are given that the bag of chips cost $3 and the total cost before tax was $9.70.
Now, we can set up the equation: 3 + 10x = 9.70. To find the value of x, we subtract 3 from both sides to get 10x = 6.70. Next, we divide both sides by 10 to isolate x, giving us x = 0.67.
Thus, each bottle of juice costs 67 cents.