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Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and the other 9 cousins who live in Michigan.
What is the ratio of Quinn's cousins who live in Texas to her total number of cousins?
Choose 1 answer:
(A) 3 to 16
(B) 4 to 16
(c) 7 to 16
(D) 9 to 16

Quinn has a large family. She has 44 cousins who live in Texas, 33 cousins who live in Nebraska, and the other 99 cousins who live in Michigan.\newlineWhat is the ratio of Quinn's cousins who live in Texas to her total number of cousins?\newlineChoose 11 answer:\newline(A) 33 to 1616\newline(B) 44 to 1616\newline(C) 77 to 1616\newline(D) 99 to 1616

Full solution

Q. Quinn has a large family. She has 44 cousins who live in Texas, 33 cousins who live in Nebraska, and the other 99 cousins who live in Michigan.\newlineWhat is the ratio of Quinn's cousins who live in Texas to her total number of cousins?\newlineChoose 11 answer:\newline(A) 33 to 1616\newline(B) 44 to 1616\newline(C) 77 to 1616\newline(D) 99 to 1616
  1. Determining Total Number of Cousins: First, let's determine the total number of cousins Quinn has by adding the number of cousins she has in each state.\newlineTotal number of cousins = Cousins in Texas + Cousins in Nebraska + Cousins in Michigan\newlineTotal number of cousins = 4+3+94 + 3 + 9
  2. Calculating Total Number of Cousins: Now, let's perform the calculation to find the total number of cousins.\newlineTotal number of cousins = 4+3+94 + 3 + 9\newlineTotal number of cousins = 7+97 + 9\newlineTotal number of cousins = 1616
  3. Finding Ratio of Texas Cousins to Total Cousins: Next, we need to find the ratio of the number of cousins Quinn has in Texas to her total number of cousins.\newlineRatio of Texas cousins to total cousins = Number of Texas cousinsTotal number of cousins \frac{\text{Number of Texas cousins}}{\text{Total number of cousins}} \newlineRatio of Texas cousins to total cousins = 416 \frac{4}{16}
  4. Simplifying the Ratio: Finally, we simplify the ratio if possible. In this case, the ratio 416\frac{4}{16} can be simplified by dividing both the numerator and the denominator by the greatest common divisor, which is 44.\newlineSimplified ratio = (44)/(164)(\frac{4}{4}) / (\frac{16}{4})\newlineSimplified ratio = 14\frac{1}{4}

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