Answer:
The cost of one night at the hotel is $125
Step-by-step explanation:
Let the cost of each night spend in hotel is = $x
Let the cost of each day of car rented = $y
Cannor spent 3 nights at a hotel and rented a car for 4 days paid $675.
\(\Rightarrow3x+4y=675\) ......(1)
Jillian also spent 4 nights in same hotel and rented a car for 5 days paid $875.
@@MATH_TOKEN_1@@ .......(2)
Now, we solve equation (1) and (2) by substitution method
From (1) take the value of x, @@MATH_TOKEN_2@@
then put in equation (2) @@MATH_TOKEN_3@@
solve,
@@MATH_TOKEN_4@@ (Taking LCM)
@@MATH_TOKEN_5@@
@@MATH_TOKEN_6@@
Now, put value of @@MATH_TOKEN_7@@ in value of @@MATH_TOKEN_8@@
@@MATH_TOKEN_9@@
@@MATH_TOKEN_10@@
@@MATH_TOKEN_11@@
@@MATH_TOKEN_12@@
Therefore, the cost of one night at the hotel is $125
