Two buildings have 60 floors altogether. Building A has 3 floors for every 2 floors of Building B. How many floors does each building have?
Assistance needed.
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Here is a very simple way:
Ratio of
bulding A: building B = 3:2 = 3x:2x
then 5x = 60
x = 12
3x = 36 ---> building A
2x = 24 ---> building B
Just realized it said "elementary" so I don't know if you know how to work with variables.
Here is another way
Bld A Bld B Total
3 .. 2 .. 5
6 .. 4 .. 10
12 .. 8 .. 20
24 .. 16 .. 40
30 .. 20 .. 50
36 .. 24 .. 60
notice 3/2 = 6/4 = ... = 36/24
Building A has 24 and B has 36. EASY DUDE chagol
Let's assume the number of floors in Building B is x.
According to the given information, Building A has 3 floors for every 2 floors of Building B. This means that the number of floors in Building A can be expressed as 3 times the number of floors in Building B.
So, the number of floors in Building A can be represented as 3x.
Now, we know that the total number of floors in both buildings is 60. Therefore, we can write an equation based on the sum of the floors in both buildings:
Number of floors in Building A + Number of floors in Building B = Total number of floors
3x + x = 60
Combining like terms, we get:
4x = 60
To find the value of x, we need to isolate it. Dividing both sides of the equation by 4, we get:
x = 60/4
x = 15
So, Building B has 15 floors.
Now, to find the number of floors in Building A, we use the equation we established earlier:
Number of floors in Building A = 3x
Number of floors in Building A = 3 * 15
Number of floors in Building A = 45
Therefore, Building A has 45 floors and Building B has 15 floors.