In a group of 160 students, 60 are seniors. What is the ratio of the number of seniors to the number of non-seniors?

Rationale

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.

A (3 to 4) YOUR ANSWER

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.

B (3 to 5) CORRECT

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.

C (3 to 8) YOUR ANSWER

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.

D (3 to 11) YOUR ANSWER

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.

Conclusion

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.

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.

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