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Judith, Martha, and Sophia are organizing their backpacks. While organizing, Judith notices that
for every 6 pencils that she has, Martha has 5. Judith also notices that for every 4 pencils that
Martha has, Sophia has 3. If Judith has 120 pencils, how many pencils does Sophia have? HINT:
You need to use two separate ratios.
Solution
The ratio of the number of Martha's pencils to the number of Judith's pencils is 5: 6.
The ratio of the number of Sophia's pencils to the number of Martha's pencils is 3: 4
Since Judith has 120 pencils, the number of pencils with Martha is 120*(5/6) = 100
Also, then the number of pencils that Sophia has is 100*(3/4) = 75.
The answer is 75.

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Judith, Martha, and Sophia are organizing their backpacks. While org.pdf

  • 1. Judith, Martha, and Sophia are organizing their backpacks. While organizing, Judith notices that for every 6 pencils that she has, Martha has 5. Judith also notices that for every 4 pencils that Martha has, Sophia has 3. If Judith has 120 pencils, how many pencils does Sophia have? HINT: You need to use two separate ratios. Solution The ratio of the number of Martha's pencils to the number of Judith's pencils is 5: 6. The ratio of the number of Sophia's pencils to the number of Martha's pencils is 3: 4 Since Judith has 120 pencils, the number of pencils with Martha is 120*(5/6) = 100 Also, then the number of pencils that Sophia has is 100*(3/4) = 75. The answer is 75.