Respuesta :
Answer:
The height of Gardenview hotel is 38 feet.
Step-by-step explanation:
To solve this problem let first suppose Garden View Hotel is "x" and the Plaza Hotel is "y" so the first equation as it says in the question will be 17x- 2y =0 and the second equation will be their combined height which is x+y =361 . Now let's solve both the equations simultaneously to get the height of GardenView Hotel.
[tex]17_x - 2_{y} =0[/tex] (1)
[tex]x + y = 361[/tex] (2)
Now multiply the second whole equation by 2 so that we can eliminate y from both the equations , after doing that the final equation is [tex]19x = 772[/tex] and if we calculate x from this we will get the height of gardenview hotel which is 38 feet.
Answer:
Height of garden view hotel = 235 ft
Step-by-step explanation:
let
height of the plaza = a
height of Garden view Hotel = 2a - 17
combined height = 361 ft
The combined height can be represented as follows:
a + (2a - 17) = 361
3a - 17 = 361
collect like terms
3a= 361 + 17
3a = 378
divide both sides by 3
3a/3 = 378/3
a = 378/3
a = 126 ft
Height of garden view hotel = 2 × 126 - 17
Height of garden view hotel = 2 × 126 - 17
Height of garden view hotel = 252 - 17
Height of garden view hotel = 235 ft
