Judith Martha and Sophia are organizing their backpacks Whil

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.