Samir bought snacks for his team's practice. He bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. The total cost before tax was $31.19. Write and solve an equation which can be used to determine xx, how much each bottle of juice cost.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

Samir bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. The total cost of the juice bottles can be expressed as \( 24x \) (since there are 24 bottles and each costs \( x \)).

According to the problem, the total cost of the popcorn and the juice bottles before tax is $31.19. Therefore, we can set up the following equation:

\[ 1.67 + 24x = 31.19 \]

Now, let's solve for \( x \).

  1. Subtract 1.67 from both sides of the equation:

\[ 24x = 31.19 - 1.67 \]

Calculating the right side:

\[ 31.19 - 1.67 = 29.52 \]

So, we have:

\[ 24x = 29.52 \]

  1. Now, divide both sides by 24 to find \( x \):

\[ x = \frac{29.52}{24} \]

Calculating that gives:

\[ x = 1.23 \]

Therefore, the cost of each bottle of juice is \( \boxed{1.23} \).