Anna earned some movie money by shoveling the driveway. sHe shoveled 1/5 of the driveway after school, then 1/2 of what was left after she did her math homework, then finished the remaining 200 square feet after supper.
And your question is?
presumably we want to find the original area to be shoveled. If that was x, then
x(1/5 - 2/5) = 200
To find the total area of the driveway, we need to add up the areas that Anna shoveled.
First, let's calculate the area Anna shoveled after school. We know that she shoveled 1/5 of the driveway, so we can multiply the total area by 1/5:
Total area * 1/5 = Area Anna shoveled after school
Next, let's find the remaining area of the driveway after Anna shoveled after school. To do this, we need to subtract the area Anna shoveled after school from the total area:
Total area - Area Anna shoveled after school = Remaining area after school
Now, let's calculate the area Anna shoveled after doing her math homework. We know that she shoveled 1/2 of what was left, so we can multiply the remaining area after school by 1/2:
Remaining area after school * 1/2 = Area Anna shoveled after math homework
Finally, let's find the remaining area of the driveway after Anna shoveled after doing her math homework. To do this, we need to subtract the area Anna shoveled after math homework from the remaining area after school:
Remaining area after school - Area Anna shoveled after math homework = Remaining area after math homework
Lastly, we know that Anna finished the remaining 200 square feet after supper. So, the remaining area after math homework is equal to 200 square feet.
Now, we have all the information needed to find the total area of the driveway:
Total area = Area Anna shoveled after school + Area Anna shoveled after math homework + Remaining area after math homework
To get the final answer, you can substitute the values you have and perform the calculations.