Question

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.

Answers

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Answered by GPT-4o mini
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:

\[
24x = 29.52
\]

2. 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 \( \boxed{1.23} \).

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