Question

every weekend, oliver bikes to the park to play disc golf with his friends. before leaving home, he fills his water bottle to the top. this weekend, oliver drinks \\(\frac{1}{2}\\) of a liter on the way to the park. now there is only \\(\frac{1}{4}\\) of a liter remaining in olivers water bottle. use an equation to find the amount of water that olivers water bottle holds. to write a fraction, use a slash ( / ) to separate the numerator and denominator. \\(\square\\) liters submit

Explanation:

Step1: Define the variable

Let \( x \) be the amount of water (in liters) the bottle holds.

Step2: Set up the equation

The initial amount minus the amount drunk equals the remaining amount. So the equation is \( x - \frac{1}{2}=\frac{1}{4} \).

Step3: Solve for \( x \)

Add \( \frac{1}{2} \) to both sides of the equation: \( x=\frac{1}{4}+\frac{1}{2} \). Find a common denominator, which is 4. Then \( \frac{1}{2}=\frac{2}{4} \), so \( x = \frac{1}{4}+\frac{2}{4}=\frac{3}{4} \).

Answer:

\( \frac{3}{4} \)