cost of lodging ---x
cost of golf ------ y
4x + 3y = 443.50
7x + 5y = 765.5
1st times 5 --> 20x + 15y = 2217.5
2nd times 3 --> 21x + 15y = 2296.5
subtract them
x = 79
back in #1
etc
cost of golf ------ y
4x + 3y = 443.50
7x + 5y = 765.5
1st times 5 --> 20x + 15y = 2217.5
2nd times 3 --> 21x + 15y = 2296.5
subtract them
x = 79
back in #1
etc
Let's start by comparing the Par 3 Package and the Par 5 Package:
The Par 3 Package includes four nights of lodging and three rounds of golf for a total cost of $443.50.
The Par 5 Package includes seven nights of lodging and five rounds of golf for a total cost of $765.50.
The difference in the cost of the packages is $765.50 - $443.50 = $322.
Now, let's find the difference in the number of nights:
The Par 5 Package includes seven nights of lodging, while the Par 3 Package includes four nights of lodging.
The difference in the number of nights is 7 - 4 = 3 nights.
To find the cost of one night's lodging, we divide the difference in cost ($322) by the difference in the number of nights (3):
$322 / 3 = $107.33
Therefore, one night's lodging costs $107.33.