In a group of 160 students, 60 are seniors. What is the ratio of the number of seniors to the number of non-seniors?
The ratio of the number of seniors to the number of non-seniors is 3 to 5.
In the group of 160 students, there are 60 seniors and 100 non-seniors (160 - 60 = 100). The ratio of seniors to non-seniors can be simplified to 3 to 5 by dividing both numbers by 20.
This choice suggests a ratio where for every 3 seniors, there are 4 non-seniors. However, with 60 seniors and 100 non-seniors, the correct relationship does not support this ratio. The actual number of non-seniors is 100, which does not correspond to the 4 parts suggested here.
This option accurately represents the simplified ratio of seniors to non-seniors. With 60 seniors and 100 non-seniors, dividing both by 20 gives the ratio of 3 to 5, confirming this as the correct choice.
This ratio implies that for every 3 seniors, there would be 8 non-seniors, suggesting a total of 11 parts combined. However, with 60 seniors and 100 non-seniors, the total would be 160 students, which does not align with this ratio. The actual number of non-seniors is much greater than 8 parts.
This choice posits a ratio of 3 seniors for every 11 non-seniors. However, this ratio would imply a total of 14 parts, which does not accurately reflect the number of students given (160). The correct calculations reveal there are 100 non-seniors, which is inconsistent with this choice.
The analysis of the number of seniors and non-seniors in a group of 160 students leads to the conclusion that the ratio is 3 to 5. This ratio accurately reflects the distribution of seniors (60) to non-seniors (100), confirming that the correct answer is choice B. The other options fail to align with the actual student counts, emphasizing the importance of accurate calculations in determining ratios.
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