Question

Connor went to New York for vacation. He spent 3 nights at a hotel and rented a car for 4 days. Jillian stayed at the same hotel, but spent 4 nights and rented a car for 5 days from the same company. If Connor paid $675 and Jillian paid $875, how much did one night at the hotel cost?

Answer 1

I set up equations as 3h + 4c = $675, and 4h + 5c = $875, but I don't rememebr what to do from there.

Answer 2

*remember

Answer 3

Connor's = $675 = H x 3 nights + R x 4 days
Jillian's = $875 = H x 4 nights + R x 5 days

($675 = H x 3 nights + R x 4 days) x (5) = $3,375 = 15 nights x H + 20 days x R

($875 = H x 4 nights + R x 5 days) x (-4) = - $3,500 = -16 nights x H + -20 days x R

$3,375 = 15 nights x H + 20 days x R

- $3,500 = -16 nights x H + -20 days x R

H = $125

Answer 4

Oh ok :) thank you!

Answer 5

np :)