Question

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?

Answer 1

x - the cost of one night´s lodging
y - the cost of a meal
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
y = 5.75
3 x + 34.50 = 132
3 x = 97.50
x = 97.50 : 3
x = $32.50
The cost of one night´s lodging is $32.50.