Let's assume the total number of old houses in the city is x.
According to the given information, the ratio of new houses to old houses is 4:7.
So, the ratio of new houses to the total number of houses (new + old) is 4:(4+7) = 4:11.
Given that there are 36 new houses, we can set up the following proportion:
4/11 = 36/x
Cross-multiplying, we get:
4x = 11 * 36
4x = 396
Dividing both sides by 4, we find:
x = 396/4
x = 99
Therefore, there are 99 old houses in the city.
A city has four new houses for every seven old houses if there are 36 new houses in the city how many old houses are there?
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