Question

A farmer recently sold a large plot of land. The sale decreased his total acreage by 4%. Let w be the original acreage. Find two equivalent expressions that will give the new acreage. Which two expressions will give the new acreage? A. W-0.04w B. 4w C. 0.96w-0.04w D. w- 4w E. 0.04w F 0.96w​

Answer 1

Answer: A. W-0.04w

F. 0.96w

Explanation:

Let the original plot of land that the farmer owns be w.

Since he sold some part of the land which decreased his total acreage by 4%, the expression for the new acreage will be for 4% of the original plot of land to be deducted from the original land. This will be:

= w - (4% × w).

= w - (4/100 × w)

= w - (0.04 × w)

= w - 0.04w

= 0.96w

Therefore, the correct options are A and F.