Question

Choice A: 3 nights and one meal for $ 250

Choice B: 3 nights and 6 meals for $330
A motel offers the specials shown. What price is the hotel charging per night?

A)
$16

B)
$19


C)
$77

D)
$78

Answer 1

Let x be the price for each night and y be the price for each meal. Then, express the statements into mathematical equations:

Choice A: 3x + y = 250
Choice B: 3x + 6y = 330

Subtract both equations, the difference would be -5y = -80

-5y = -80
y = -80/-5
y = $16 per meal

3x + y = 250
3x + 16 = 250
3x = 250 - 16
3x = 234
x = 234/3
x = $78 per night

The answer is D.