The lodge at the three lakes resort is offering the following two options for a holiday weekend.
option 1: 3 nights including six meals for $132.00.
option 2: 3 nights including two meals for $109.00.
at these rates, what is the cost of one night's lodging?

 so let be the x - the cost of one night´s lodging
 and let be -the y - the cost of a meal
now solve them
so x is the meal and y night spend
puting values
3 x + 6 y = 132
3 x + 2 y = 109 /  * (-1)

 3 x + 6 y =   132
-3 x  - 2 y = - 109

          4 y = 23
solving for y
             y = 5.75
now for x
3 x + 34.50 = 132
3 x = 97.50
x = 97.50 : 3
so
x = $32.50
The cost of one night´s lodging is $32.50.
hope it helps