Of 460 circus attendees, 110 were men, 120 women. What fraction were children?

Rationale

Of the 460 circus attendees, 230 were children.

To find the number of children among the circus attendees, we subtract the number of men and women from the total attendees. Given there are 110 men and 120 women, the total number of attendees who are children is 460 - (110 + 120) = 230.

A (01-Mar) YOUR ANSWER

This option implies that 1 out of 3 attendees were children, which would suggest only 153 children (460/3). However, when calculating the actual number of children (230), it becomes clear that this fraction does not accurately represent the situation.

B (02-May) YOUR ANSWER

This choice indicates that 2 out of 5 attendees were children, which would correspond to 184 children (460 * 2/5). This number is still less than the actual count of 230 children derived from the total number of attendees.

C (01-Feb) CORRECT

This option correctly represents the fraction of children present at the circus. Since there are 230 children out of 460 total attendees, simplifying this fraction gives 1/2, which is accurately expressed as 01-Feb.

D (03-May) YOUR ANSWER

This choice suggests that 3 out of 5 attendees were children, translating to 276 children (460 * 3/5). This exceeds the actual number of 230 children, making this option incorrect.

Conclusion

The analysis of the total circus attendees reveals that 230 were children, leading to the correct fraction of 1/2. Options A, B, and D miscalculate the ratio of children based on the given data, while option C accurately reflects the number of children in relation to total attendees, confirming its correctness.

Of 460 circus attendees, 110 were men, 120 women. What fraction were children?

Of the 460 circus attendees, 230 were children.

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