Question

The lodge at the Three Lakes Resort is offering the following two options for a holiday weekend.

Answer 1

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