A painter can finish painting approximately 37 houses in 222 days, assuming a consistent rate of
houses per day.
To determine how many houses a painter can finish painting in 222 days, we can use the concept of rates. If a painter can paint one house in 6 days, then the rate at which the painter works is
houses per day. This is because in 6 days, the painter completes one house.
Now, to find the number of houses the painter can finish in 222 days, we can set up a proportion:
![\[ \frac{\text{Houses}}{\text{Days}} = (1)/(6) \]](https://img.qammunity.org/2024/formulas/mathematics/college/os5tawrsd2l7mt15ltb3u7sy1e1i1nndx2.png)
Solving for the number of houses:
![\[ \text{Houses} = (1)/(6) * \text{Days} \]](https://img.qammunity.org/2024/formulas/mathematics/college/3jwqzhh9khzv5pri7jys1fgov7exwgmwiz.png)
![\[ \text{Houses} = (1)/(6) * 222 \]](https://img.qammunity.org/2024/formulas/mathematics/college/srqr2x22zgg2hgtwn0vpvac9h9vg2xaucy.png)
![\[ \text{Houses} = 37 \]](https://img.qammunity.org/2024/formulas/mathematics/college/pchyuav6slvicahmqub29ch3rvlsb6q1d4.png)
Therefore, a painter can finish painting approximately 37 houses in 222 days, assuming a consistent rate of
houses per day.