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?

Rationale

Jill has read approximately 4 times the number of pages Craig has read.

To determine how many times the pages Jill has read compared to Craig, we can set up a ratio based on the fractions of the book they have read. If we assume the book has 77 pages, then Jill has read 55 pages (5/7 of 77) and Craig has read 14 pages (2/11 of 77). Dividing 55 by 14 gives us approximately 3.93, which rounds to about 4.

A (3) YOUR ANSWER

If we calculate the ratio of pages read, Jill's pages (55) divided by Craig's pages (14) equals approximately 3.93, which is much closer to 4 than to 3. Hence, this option is incorrect because it underestimates the actual ratio.

B (4) CORRECT

This is the correct choice as the ratio of pages read by Jill to those read by Craig is approximately 4. With Jill reading 55 pages and Craig reading 14, the division results in approximately 3.93, which rounds up to 4, accurately reflecting the relationship between the two amounts.

C (6) YOUR ANSWER

This choice is incorrect since the actual ratio of pages read is significantly lower than 6. Jill reads 55 pages compared to Craig's 14, resulting in a ratio of approximately 3.93, indicating that Jill's reading is not six times Craig's.

D (7) YOUR ANSWER

Choosing this option is incorrect because the division of 55 by 14 yields approximately 3.93, far less than 7. This overestimates the number of times Jill has read compared to Craig.

E (8) YOUR ANSWER

This option is also incorrect as it suggests that Jill has read eight times the pages Craig has read, which is an exaggerated estimate. The actual ratio of approximately 3.93 indicates a much smaller relationship.

Conclusion

In summary, Jill has read approximately four times the number of pages that Craig has read based on the fractions of the book they have completed. The calculated ratio of their pages read confirms that the best approximation falls around this value, making option B the most accurate choice.

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?

Jill has read approximately 4 times the number of pages Craig has read.

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