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.

Answer 1

To solve the equation 1.65 - 0.2 + x = 1.9 and find the amount of sparkling water Dylan adds to the pitcher, isolate the variable x by simplifying the equation step by step. Dylan adds 0.45 L of sparkling water to the pitcher.

Step-by-step explanation:

To solve the equation 1.65 - 0.2 + x = 1.9, we need to isolate the variable x. Let's simplify the equation step by step:

1. Start with the given equation: 1.65 - 0.2 + x = 1.9
2. Combine like terms: 1.65 - 0.2 = 1.45, so the equation becomes 1.45 + x = 1.9
3. Subtract 1.45 from both sides of the equation: 1.45 + x - 1.45 = 1.9 - 1.45
4. This simplifies to x = 0.45

Therefore, Dylan adds 0.45 L of sparkling water to the pitcher to make orangeade.