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

1 answer

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.