In an apartment building, 2/3 of the residents speak Cebuano, 1/4 speak
Ilocano, and the remaining 2 residents speak Waray. How many residents are
there in all in the building?
2/3 + 1/4 = 11/12
so, 1/12 x = 2
x = 24 residents in all
To find the total number of residents in the building, we need to add the fractions representing the number of residents who speak each language.
Fraction of residents who speak Cebuano = 2/3
Fraction of residents who speak Ilocano = 1/4
Fraction of residents who speak Waray = 2 (since it is given that there are 2 residents who speak Waray)
Now, let's add these fractions:
2/3 + 1/4 = 8/12 + 3/12 = 11/12
The fraction 11/12 represents the total number of residents who speak Cebuano, Ilocano, and Waray combined.
Let 'x' be the total number of residents in the building. We can set up the following equation:
11/12 * x = x
To solve for 'x', we multiply both sides of the equation by 12 (to cancel out the denominator):
11x = 12x
Now, we can subtract 11x from both sides:
11x - 11x = 12x - 11x
0 = x
This means that the total number of residents in the building is 0.
However, this result does not make sense. It is likely that there is an error in the given information or in the calculations. Please double-check the problem statement or provide more information if available.
To find the total number of residents in the building, we can add the number of residents who speak Cebuano, Ilocano, and Waray.
Let's assume there are 'x' residents in total.
According to the given information:
- 2/3 of the residents speak Cebuano, which means (2/3) * x.
- 1/4 of the residents speak Ilocano, which means (1/4) * x.
- The remaining 2 residents speak Waray.
So, the equation becomes:
(2/3)x + (1/4)x + 2 = x.
To solve this equation, let's simplify it:
Multiplying 2/3 by x gives us (2/3)x.
Multiplying 1/4 by x gives us (1/4)x.
Now, the equation becomes:
(2/3)x + (1/4)x + 2 = x.
To add the fractions, we need a common denominator. The least common multiple of 3 and 4 is 12. So, let's rewrite the equation with a common denominator of 12:
(8/12)x + (3/12)x + 2 = x.
Combining the x terms, the equation becomes:
(11/12)x + 2 = x.
To eliminate the fraction, we can multiply both sides of the equation by 12, resulting in:
11x + 24 = 12x.
Now, let's isolate the x term:
11x - 12x = -24.
-x = -24.
x = 24.
Therefore, there are 24 residents in total in the building.