Answer


Question 6
The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms
at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G?
Answer choices:
(A) 140
(B) 180
(C) 200
(D) 240
(E) 280

Answer
If g is the number of rooms at Hotel G and h is the number of rooms at Hotel H, then the first part of the problem can
be represented by the equation g = 2h-10 and the second part can be represented by g + h = 425.
Solve the system of equations by substituting for g in the second equation:
g = 2h – 10
g + h = 425
(2h – 10) + h = 425
3h – 10 = 425
3h = 435
h = 145
Then find g:
g = 2h – 10
g = 2(145) – 10
g = 290 – 10
g = 280

The correct answer is E.