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Connor went to New York for vacation. He spent threenights at a hotel and rented a car for four days. Jillian stayed at the samehotel but spent four nights and rented a car for five days from the samecompany. If Connor paid $675 and Jillian paid $875, how much did onenight at the hotel cost?

Respuesta :

Solution:

Let x the cost for a night and y the cost to rent a car for a day.

Connor = 3 nights and 4 days = 3x + 4y = 675

Jillian = 4 nights and 5 days = 4x + 5y = 875

3x + 4y = 675 Multiply by 5

4x + 5y = 875 Multiply by 4

we get:

15x + 20y = 3375

16x + 20y = 3500

now, subtracting the two previous equations we obtain:

15x + 20y = 3375

-

16x + 20y = 3500

________________

-x + 0 = -125

x = 125

then, we can conclude that the correct answer is:

$125

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