To find out how many birdhouses can Nathaniel build with his remaining Lego blocks, you just need to use the formula below [tex]Birdhouses = \frac{Z -5Y}{Y}[/tex]Since there is no data on how many Lego blocks Nathaniel can work with, we can only try to figure out a formula. We will assign a letter to stand for each variable.Y will be the number of blocks to create one birdhouseZ will be the number of blocks available5 is the number of birdhouses he needs to buildCalculate the total blocks used for the 5 birdhouses.Total Blocks Used = 5 × YCalculate the remaining blocks.Remaining Blocks = Z - (Total Blocks Used)Remaining Blocks = Z - (5 × Y)Calculate the maximum number of additional birdhouses he can buildBirdhouses = Remaining blocks ÷ YBirdhouses = Z - (5 × Y) ÷ YBirdhouses = [tex]\frac{Z-5Y}{Y}[/tex]