For every 5.75 liters of green paint, a project requires 2.25 liters of black paint and 3.5 liters of orange paint. If Jasmine finished a project that required 22.25 liters of green paint, how many total liters of paint did she use? (Round all intermediate values and the final answer to the nearest hundredth.)
Set up ratios between the green paint volume and the other color volumes: $4176_w79_h39.png$ and $2311_w80_h41.png$ Using these ratios, proportionalities can be set up that enable the unknown liters of black and orange paint to be found. $8597_w310_h39.png$; solving for the unknown amount gives 8.7 liters of black paint. Setting up the proportion for orange: $4669_w321_h41.png$; solving for the unknown amount gives 13.5 liters of orange paint. Combining each of the amounts used gives: 22.25 + 8.7 + 13.5 = 44.45 liters of paint.