A farmer recently sold a large plot of land. The sale decreased his total acreage by 12%. Let v be the original acreage. Find two equivalent expressions that will give the new acreage. Use pencil and paper. Use the expressions to describe two ways to find the new acreage.
The decrease in acreage is equal to 12% of the original acreage v, so it can be expressed as 0.12v.
To find the new acreage, we can subtract the decrease in acreage from the original acreage:
Original acreage - decrease in acreage = v - 0.12v = 0.88v
Alternatively, we can find the new acreage by subtracting 12% of the original acreage from the original acreage:
Original acreage - (12% of original acreage) = v - 0.12v = 0.88v
Both expressions, 0.88v and v - 0.12v, will give the new acreage after the sale.