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 find the number of old houses, we need to determine the ratio of new houses to old houses.

The ratio of new houses to old houses is 4:7.

If there are 4 new houses for every 7 old houses, and there are 36 new houses, then we can set up the following proportion:

4/7 = 36/x

To solve for x, we can cross multiply:

4x = 36 * 7

4x = 252

Divide both sides by 4 to isolate x:

x = 252/4

x = 63

Therefore, there are 63 old houses in the city.