Question 29

Kelly can make 27 necklaces in the month.

After fulfilling the special order for 22 bracelets, Kelly has 140 hours to work on jewellery. Since each bracelet takes 2 hours, she spends 44 hours making the bracelets, leaving her with 96 hours to create necklaces. Given that each necklace requires 3.5 hours, she can make 27 necklaces in the remaining time.

A) 52

This option is incorrect because if Kelly tried to make 52 necklaces, she would require 182 hours (52 necklaces x 3.5 hours each) after making the bracelets. This exceeds her available 96 hours, making it impossible to produce that many necklaces.

B) 27

This is the correct answer. After making 22 bracelets in 44 hours, Kelly has 96 hours left for necklaces. Dividing 96 hours by 3.5 hours per necklace allows her to produce exactly 27 necklaces (96 ÷ 3.5 = 27.43), but since she can only make whole necklaces, she can complete 27.

C) 40

This option is incorrect as well. To make 40 necklaces, Kelly would need 140 hours (40 necklaces x 3.5 hours each), which is more than the 96 hours left after making the bracelets. Therefore, she cannot complete this many necklaces within her available time.

D) 31

This option is also incorrect. Making 31 necklaces would require 108.5 hours (31 necklaces x 3.5 hours each), which again exceeds the 96 hours available after constructing the bracelets. Thus, she cannot reach this quantity either.

Conclusion

The calculations confirm that the only feasible number of necklaces Kelly can produce within her remaining time constraints is 27. All other options either exceed her available hours or fail to meet the time requirements based on the hours needed per item. Hence, B is the definitive correct answer.