Rhianna recently sold some farmland and bought a new plot that consists of 2,024 acres. Rhianna calculates that this is 10% more acreage than she used to own. What was the acreage of the old land?____ acres
Q. Rhianna recently sold some farmland and bought a new plot that consists of 2,024 acres. Rhianna calculates that this is 10% more acreage than she used to own. What was the acreage of the old land?____ acres
Calculate original acreage: Calculate the original acreage before the 10% increase. Let the original acreage be x. Since the new acreage is 10% more, the equation is x+0.1x=2024.
Simplify equation: Simplify the equation to find x. Combine like terms: 1.1x=2024.
Solve for x: Solve for x by dividing both sides by 1.1: x=1.12024.
Perform division: Perform the division to find the value of x: x=1840.
More problems from Percent of change: find the original amount word problems