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Margeaux classified her favorite paintings hanging in a museum by both size and dominant color the results are in the table above we have this table as we have dominant color we have large size small size we have a bunch of blanks here I'm guessing we're gonna have to fill some of these out Margot found that okay this is interesting Margot found that one-fourth of her favorite large paintings were blue how many of Margo's favorite paintings have red is the dominant color so we want to figure out how many of her how many of her favorite paintings whether its large or small have red is the dominant color so we want to figure out the total number that have red is the dominant color and so to figure this out I think we're going to figure out some of these other blanks and let's start with the information that they actually gave us Margot found that one-fourth of her favorite large paintings so this is this is her large her favorite large paintings this right over here is the total favorite this is the total favorite large paintings 1/4 of this 1/4 of these of our favorite large paintings are blue so 1/4 of this gives us 5 so 1/4 of what is equal to 5 or 5 times 4 is what well this this needs to be 25 out of 20 is the same thing as 1/4 and if we know that that we could start to fill in some of these other blanks so if we have a total of 20 large paintings and five are blue then 15 are going to have to be red because the red large ones plus the blue large ones is going to add up to 20 now if you have 15 red large and if you have 4 red small the total number of red is 15 plus 4 is 19 so 19 of Margo's favorite paintings have red as the dominant color 19