A city has 4 new houses for every 7 old houses if there are 36 new houses in the city how many old houses are there

To determine the number of old houses in the city, we first need to find the ratio of new houses to old houses.

For every 4 new houses, there are 7 old houses.

Let's set up a proportion:

4 new houses / 7 old houses = 36 new houses / x old houses

Cross multiplying, we have:

4 * x = 7 * 36

4x = 252

Dividing both sides by 4, we find:

x = 63

Therefore, there are 63 old houses in the city.