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The hotel in the example offer a double room for $20 more than a standard room, before tax. What is the total cost of a double room, including tax? Show your work.

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Final answer:

To calculate the total cost of a double room including tax, add $20 to the cost of a standard room and then apply the tax rate to this sum. Due to the lack of specific figures for the cost of a standard room and tax rate, we can't determine an exact numerical total.

Step-by-step explanation:

To find the total cost of a double room at a hotel, including tax, we need to know the cost of a standard room and the tax rate. Since we are not provided with this information, we'll use variables to represent them. Let x be the cost of a standard room and y be the tax rate.

The cost of a double room is $20 more than the cost of a standard room so the price before tax for a double room is x + $20. To calculate the tax on the double room, we need to convert the tax rate y from a percentage to a decimal and then multiply it by the cost of the double room:

y/100 × (x + $20)

The total cost of the double room, including tax, is the sum of the cost of the double room and the tax applied to it:

Total cost = (x + $20) + (y/100 × (x + $20))

Note: Since we don't have the actual numbers for x and y, we cannot compute a numerical total. If the actual figures are provided, we could plug them in to find the final total cost.

User Mohammad Salehi
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