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Grayson bought snacks for his team's practice. He bought a bag of popcorn for $3.50 and a 5-pack of juice bottles. The total co...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.
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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 \( \boxed{1.23} \).
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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