In Gulshan the ratio of private homes to apartment is 3:5. If all the apartments are brick made and 1/10 of the private homes are wooden, what is the maximum portion of houses that may

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To find the maximum portion of houses that may be wooden, we need to determine the ratio of wooden homes to the total number of homes in Gulshan.

Let's assume that there are 3x private homes and 5x apartments in Gulshan, based on the given ratio.

Since all the apartments are brick made, we only need to consider the private homes.

Out of 3x private homes, 1/10 are wooden. This means the number of wooden private homes is (1/10) * 3x = (3/10) * x.

The total number of homes in Gulshan is the sum of private homes and apartments, which is 3x + 5x = 8x.

To find the maximum portion of houses that may be wooden, we need to divide the number of wooden private homes by the total number of homes:

((3/10) * x) / (8x)

Simplifying this expression, we can cancel out the 'x' terms:

(3/10) / 8

To get the maximum portion, we divide the numerator by the denominator:

3 / (10 * 8) = 3 / 80

Therefore, the maximum portion of houses that may be wooden is 3/80.