Question

dylan has a pitcher with 1.65 l of orange juice. he pours out 0.2 l of the juice. then he adds some sparkling water to the pitcher to make orangeade. he ends up with 1.9 l of orangeade. solve the equation $1.65 - 0.2 + x = 1.9$ to find the amount of sparkling water, $x$, dylan adds to the pitcher. show your work.

Explanation:

Step1: Simplify left - hand side

First, calculate \(1.65 - 0.2\). \(1.65-0.2 = 1.45\). So the equation becomes \(1.45+x = 1.9\).

Step2: Solve for x

To isolate \(x\), subtract \(1.45\) from both sides of the equation \(1.45 + x=1.9\). That is \(x=1.9 - 1.45\).

Step3: Calculate the result

Calculate \(1.9−1.45\). \(1.9 - 1.45=0.45\).

Answer:

The amount of sparkling water \(x\) that Dylan adds is \(0.45\) liters.