Question

Wendy is decorating her house with light for the Holidays. She is charged a total of $132.40 for 4 boxes of lights with the tax on her receipt being $10.80. Find the equation for this situation and Solve it to find how much each box of lights cost.(Find the equation for this using the variable x to represent the cost of the lights.)

Answer 1

To find the equation for this situation, we'll use the given information:

Let x represent the cost of each box of lights.

1. The total cost of 4 boxes of lights is $132.40. We can write this as:

4x = 132.40

2. The tax on the receipt is $10.80. Since the tax is calculated based on the total cost, we can add it to the equation:

4x + 10.80 = 132.40 + 10.80

Now, let's solve the equation to find the cost of each box of lights (x):

1. Simplify the equation:

4x + 10.80 = 143.20

2. Subtract 10.80 from both sides to isolate 4x:

4x = 143.20 - 10.80

4x = 132.40

3. Divide both sides by 4 to solve for x:

x = 132.40 / 4

x = 33.10

Therefore, each box of lights costs $33.10.

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Answer 2

The equation for this situation is: total cost = number of boxes × cost per box + tax. To solve the equation, subtract the tax from the total cost, divide by the number of boxes, and calculate the cost per box. Each box of lights costs $30.40.

Step-by-step explanation:

To find the equation for this situation, we can use the formula for calculating the total cost of the lights, including tax:

total cost = number of boxes × cost per box + tax

In this case, the total cost is $132.40, the number of boxes is 4, and the tax is $10.80. Let's use the variable x to represent the cost per box.

Therefore, the equation becomes:

132.40 = 4x + 10.80

To solve this equation, we can first subtract 10.80 from both sides:

132.40 - 10.80 = 4x

121.60 = 4x

Then, we divide both sides by 4:

x = 121.60/4

x = 30.40

So each box of lights costs $30.40.