Sebastian bought snacks for his team': practice. He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?

Answer:

Each bottle of juice costs $1.34.

Step-by-step explanation:

From the information given, the equation would indicate that the total cost is equal to the price per bag of popcorn for the number of bags plus the price per pack of juice bottles for the number of packs.

Total cost=(1.68*1)+15x

Total cost=1.68+15x

Now, you can replace the total cost with $21.78 and solve for x:

21.78=1.68+15x

21.78-1.68=15x

20.1=15x

x=20.1/15

x=1.34

According to this, the answer is that each bottle of juice costs $1.34.

Final answer:

The cost of each bottle of juice is $1.02

Explanation:

Let's use "x" to represent the cost of each juice bottle in dollars. Sebastian bought a 15-pack of juice bottles, so the total cost of the juice bottles can be calculated as 15x dollars. He also bought a bag of popcorn for $1.68.

Therefore, the total cost before tax, which is $21.78, can be expressed as the sum of the cost of the juice bottles and the cost of the popcorn:

Total Cost = Cost of Juice Bottles + Cost of Popcorn

$21.78 = 15x + $1.68

Now, we can isolate "x" by subtracting $1.68 from both sides of the equation:

$21.78 - $1.68 = 15x

$20.10 = 15x

To find the cost of each juice bottle (x), we divide both sides by 15:

x = $20.10 / 15

x = $1.02

So, each bottle of juice costs $1.02.

Learn more about Equation solving here:

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