Gina's art teacher mixes 9 pints of yellow paint with 6 pints of blue paint to create green paint. Gina mixes 4 pints of yellow paint with 3 pints of blue paint.
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To determine the resulting color of Gina's paint mixture, we need to consider the ratio of yellow to blue paint.
In the art teacher's mixture, there are 9 pints of yellow paint and 6 pints of blue paint. This can be simplified by dividing both numbers by their greatest common divisor, which is 3 in this case. So, we have a ratio of 3:2 for yellow to blue paint in the teacher's mixture.
Now let's look at Gina's mixture. She mixes 4 pints of yellow paint with 3 pints of blue paint. Since there is no common factor between 4 and 3, we end up with a ratio of 4:3 for yellow to blue paint in Gina's mixture.
To determine the resulting color, we need to compare the ratios of yellow to blue paint in both mixtures.
For the teacher's mixture, the ratio is 3:2.
For Gina's mixture, the ratio is 4:3.
Since the ratios are not the same, the resulting color of Gina's paint mixture will not be the same as the green color created by the teacher's mixture. The specific resulting color will depend on how the yellow and blue paints interact in the mixture, but it will not be the same shade of green as in the teacher's mixture.