20. Jill and Craig are each reading a copy of the same book. So far, Jill has read 5/7 of the book, but Craig has read only 2/11 of the book. The number of pages Jill has read is approximately how many × the number of pages Craig has read?
Answer: B
Jill has read approximately 4 times the number of pages Craig has read.
Jill has read about 4 times the number of pages that Craig has read. This conclusion is drawn from comparing the fractions of the book they have completed.
A) 3
Choosing 3 would suggest that Jill has read only 3 times the amount that Craig has, which underestimates the actual ratio. Given that Jill has read 5/7 of the book and Craig only 2/11, the actual ratio of their readings shows that Jill has read significantly more than 3 times what Craig has.
B) 4
This option accurately reflects the ratio of the pages read by Jill to those read by Craig. Jill's 5/7 of the book compared to Craig's 2/11 results in a ratio that approximates to 4, confirming that Jill has read about 4 times the pages Craig has.
C) 6
Selecting 6 implies that Jill has read 6 times the amount Craig has read, which is an overestimation. The calculations show that Jill's reading does not reach this level compared to Craig's. Therefore, this option is incorrect.
D) 7
Opting for 7 would mean Jill has read 7 times what Craig has, which is an even larger overestimation. The actual comparison of their readings indicates that this option does not accurately represent the ratio of their progress in the book.
E) 8
Choosing 8 suggests that Jill has read 8 times the pages Craig has read, which is a substantial overestimation. Given the fractions provided, this option does not align with the true ratio of their readings.
Conclusion
The correct answer is 4, as it accurately represents the ratio of the pages Jill has read in comparison to Craig. All other options either underestimate or overestimate this ratio, failing to reflect the actual reading progress of each individual. Thus, 4 is the most precise approximation of their comparative reading.