Final answer:
After selling a quarter last month and a fifth of the remaining this month, there are 48 houses left to be sold from the initial 80.
Step-by-step explanation:
To find out how many houses are left to be sold, we need to calculate the sales in two stages. Initially, there were 80 new houses. After selling (1)/(4) of them last month, we have:
Last Month Sales: 80 houses x (1/4) = 20 houses sold
Remaining Houses After Last Month: 80 houses - 20 houses = 60 houses
This month, (1)/(5) of the remaining houses were sold, so we calculate:
This Month Sales: 60 houses x (1/5) = 12 houses sold
Remaining Houses After This Month: 60 houses - 12 houses = 48 houses
Therefore, there are 48 houses left to be sold.