Under new management, Oakdale Hardware keeps an inventory of $1,141,119$ lawnmowers. That is $18\%$ more lawnmowers than they had on hand in the past. How many lawnmowers did the company keep in inventory back then? $\newline$ ____ lawnmowers

Full solution

Q. Under new management, Oakdale Hardware keeps an inventory of

1,141,119

lawnmowers. That is

18\%

more lawnmowers than they had on hand in the past. How many lawnmowers did the company keep in inventory back then?

\newline

____ lawnmowers

Define Inventory and Increase: Define the current number of lawnmowers and the percentage increase. $\newline$ Current inventory = $1,141,119$ lawnmowers. $\newline$ Percentage increase = $18\%$ .
Calculate Original Inventory: Calculate the original number of lawnmowers before the increase. $\newline$ Let $x$ be the original number of lawnmowers. $\newline$ Current inventory = $x + 18\%$ of $x$ $\newline$ $1,141,119 = x + 0.18x$ $\newline$ $1,141,119 = 1.18x$
Solve for Original Inventory: Solve for $x$ to find the original inventory. $\newline$ $1,141,119 = 1.18x$ $\newline$ $x = \frac{1,141,119}{1.18}$ $\newline$ $x = 967,389$ lawnmowers