Hi everyone,
I hope you're all doing well. I'm currently working on a problem and could really use your help in finding a solution. Here's the equation I'm trying to solve:
1380: A fuel mixture for a certain engine should contain 19 parts gasoline and 1 part oil. Lena needs 25 liters of fuel. She has pure gasoline and a gasoline-oil mixture containing 85% gasoline. How should she proceed?
To tackle this problem, I've come up with a plan. Let's assume Lena uses x liters of the gasoline-oil mixture. In practice, this means she would use 0.85x liters of gasoline and 0.15x liters of oil. Now, Lena needs to mix in y liters of pure gasoline to achieve the right proportions.
By doing so, she will have:
- Used x + y liters of the liquid.
- Used 0.85x + y liters of gasoline and 0.15x liters of oil.
I would greatly appreciate it if someone could guide me on how to proceed from here. Any insights, suggestions, or explanations would be extremely helpful. Thank you all in advance for your assistance!