Alexandra is trying to drink more water, so she has been keeping a log of how much water she drinks. Yesterday, Alexandra drank $12$ ounces of water. That is $25\%$ less than she drank two days ago. How much water did Alexandra drink two days ago? $\newline$ ____ ounces

Full solution

Q. Alexandra is trying to drink more water, so she has been keeping a log of how much water she drinks. Yesterday, Alexandra drank

12

ounces of water. That is

25\%

less than she drank two days ago. How much water did Alexandra drink two days ago?

\newline

____ ounces

Define water intake: Define the amount of water Alexandra drank two days ago as $x$ ounces. $\newline$ Reasoning: We know yesterday's intake was $25\%$ less than two days ago. $\newline$ Calculation: $x - 25\%(x) = 12$ ounces.
Simplify equation: Simplify the equation to find $x$ . $\newline$ Reasoning: Convert $25\%$ to a decimal for calculation. $\newline$ Calculation: $x - 0.25x = 12$ .
Combine terms and solve: Combine like terms and solve for $x$ . $\newline$ Reasoning: Simplify the left side of the equation. $\newline$ Calculation: $0.75x = 12$ .
Divide to isolate $x$ : Divide both sides by $0.75$ to isolate $x$ .
Reasoning: To find the original amount Alexandra drank.
Calculation: $x = \frac{12}{0.75}$ .
Calculate total ounces: Calculate $x$ . Reasoning: Perform the division to find the total ounces. Calculation: $x = 16$ .