Linda reserved two hotel rooms for $75 each room plus a tax of $7.50. Illustrate the Distributive Property by writing two ways to compute the total. What is the total.
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method 1 , straightforward way:
daily rate = 75 + 7.50 = 82.50
charge for two days = 2(82.50) = 165
method 2, using distributive property:
charge for 2 days
= 2(75 + 7.50)
= 150 + 15
= 165
To illustrate the Distributive Property, you can compute the total in two ways:
1. Method 1:
- Multiply the cost of each room ($75) by the number of rooms (2):
>> 2 * $75 = $150
- Multiply the tax ($7.50) by the number of rooms (2):
>> 2 * $7.50 = $15
- Add the total cost of the rooms and the total tax:
>> $150 + $15 = $165
2. Method 2:
- Multiply the total cost per room, including tax ($75 + $7.50 = $82.50), by the number of rooms (2):
>> 2 * $82.50 = $165
Therefore, the total cost for the two hotel rooms is $165.
To illustrate the Distributive Property, we consider the equation:
Total cost = (Cost per room) x (Number of rooms) + Tax
In this case, Linda reserved two hotel rooms, so the number of rooms is 2. The cost per room is $75 and the tax is $7.50.
Method 1: Distributive Property
Using the Distributive Property, we can calculate the total cost by applying the sum of the products of the individual terms:
Total cost = (Cost per room) x (Number of rooms) + Tax
= $75 x 2 + $7.50
To solve this, we first multiply the cost per room and the number of rooms:
$75 x 2 = $150
Then, we add the tax:
$150 + $7.50 = $157.50
Therefore, the total cost for two hotel rooms, including tax, is $157.50.
Method 2: Direct Calculation
Alternatively, we can calculate the total cost without using the Distributive Property:
Total cost = (Cost per room) x (Number of rooms) + Tax
= $75 x 2 + $7.50
First, we multiply the cost per room and the number of rooms:
$75 x 2 = $150
Then, we add the tax:
$150 + $7.50 = $157.50
Again, the total cost for two hotel rooms, including tax, is $157.50.
By using either method, the total cost is $157.50.
2 (75+7.50)
or
(75+7.50) (2)
The total should be 165 dollars.