Question

7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?​

Answer 1

The difference in costs including tax between the two nights is $53

Explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer 2

• The difference in costs including tax between the two nights is $53

--------------------------------

The cost x including a 6% tax is:

• x + 6% =
• x + 0.06x =
• 1.06x

The difference in costs including tax is:

• 349*1.06 - 299*1.06 =
• (349 - 299)*1.06 =
• 50*1.06 =
• 53