The number of rooms on the ground floor of a building is 12 less than twice of the number of rooms on first floor . If the first floor has x rooms how many rooms does the ground floor have if the total rooms are 33
g = the number of rooms on the ground floor
x = the number of rooms on the the first floor
The number of rooms on the ground floor of a building is 12 less than twice of the number of rooms on first floor mean:
g = 2 x - 12
The total rooms are 33 mean:
x + g = 33
Now you must solve system of equations:
g = 2 x - 12
x + g = 33
Try that.
The solutions are g = 18 x = 15
The ground floor have 18 rooms.
To find the number of rooms on the ground floor, we can set up an equation based on the given information.
Let's start by assigning variables:
Let's call the number of rooms on the first floor "x".
Let's call the number of rooms on the ground floor "y".
According to the problem, the number of rooms on the ground floor is 12 less than twice the number of rooms on the first floor. This can be expressed as:
y = 2x - 12
The total number of rooms in the building is 33. So, we can set up another equation:
x + y = 33
Now we have a system of equations:
y = 2x - 12
x + y = 33
To solve this system of equations, we can use substitution or elimination.
Let's use substitution method:
We can substitute the expression for "y" from the first equation into the second equation:
x + (2x - 12) = 33
Now, let's solve for x.
Combining like terms:
3x - 12 = 33
Adding 12 to both sides of the equation:
3x = 45
Dividing both sides by 3:
x = 15
Now that we have found the value of x, we can substitute it back into either equation to find the value of y.
Using the first equation:
y = 2x - 12
y = 2(15) - 12
y = 30 - 12
y = 18
Therefore, the ground floor has 18 rooms.