1. Of 460 circus attendees, 110 were men, 120 women. What fraction were children?
Answer: C
One-half of the circus attendees were children.
Out of 460 circus attendees, with 110 men and 120 women, the remaining attendees must be children. Subtracting the men and women from the total gives 460 - 110 - 120 = 230 children, which simplifies to a fraction of 1/2 when expressed in relation to the total number of attendees.
A) 01-Mar
This option suggests that one-third of the attendees were children. However, with 230 children out of 460 total attendees, this does not hold true, as one-third of 460 would only be approximately 153.33, not a whole number.
B) 02-May
This option implies that two-fifths of the attendees were children. To evaluate this, two-fifths of 460 equals 184, which again does not match the number of children, confirming that this option is incorrect.
C) 01-Feb
This option correctly states that one-half of the attendees were children. With 230 children out of a total of 460 attendees, the fraction simplifies to 1/2, accurately reflecting the proportion of children present.
D) 03-May
This option indicates that three-fifths of the attendees were children. However, three-fifths of 460 is 276, which exceeds the total number of children, making this option incorrect.
Conclusion
The correct answer, C (one-half), accurately represents the fraction of children among the circus attendees. The other options fail to reflect the actual number of children present, as they either overestimate or underestimate based on the total of 460 attendees. Thus, C is the only valid fraction based on the provided data.