Oak Construction Company built 128 houses in Hilltop Estates. If the company built 7 times as many colonial style houses as ranch style houses, how many ranch style houses were erected?
14
21
16
24
14?
x + 7x = 128
x = ?
To find the number of ranch style houses built by Oak Construction Company, we first need to determine the number of colonial style houses.
Given that the company built 7 times as many colonial style houses as ranch style houses, we can set up the equation:
7 * ranch = colonial
Since the company built a total of 128 houses, we can also set up the equation:
ranch + colonial = 128
Substituting the first equation into the second equation:
ranch + (7 * ranch) = 128
Simplifying:
8 * ranch = 128
Dividing both sides by 8:
ranch = 16
Therefore, Oak Construction Company erected 16 ranch style houses.
To find the number of ranch style houses erected by Oak Construction Company, you need to divide the total number of houses built by the company (128) by the sum of the ratios of colonial to ranch style houses.
Let's assume the number of ranch style houses built is 'x'. According to the given information, the number of colonial style houses built is 7 times the number of ranch style houses. Therefore, the number of colonial style houses built can be represented as 7x.
The sum of the ratios of colonial to ranch style houses is 7x + x, which equals 8x.
Now, since Oak Construction Company built a total of 128 houses, we can set up the equation:
8x = 128
To find x, divide both sides of the equation by 8:
x = 128 / 8
x = 16
So, Oak Construction Company built 16 ranch style houses in Hilltop Estates.
Therefore, the correct answer is 16.