Kelly has a home business making jewellery. It takes 2 hours for her to make each bracelet and 3.5 hours to make each necklace. Next month she plans to spend 140 hours to make jewellery. If she fills a special order for 22 bracelets at the beginning of the mouth and spends the rest of the month making necklaces, how many necklaces can Kelly make in the month
Kelly can make 27 necklaces in the month.
After fulfilling the special order for 22 bracelets, which takes 44 hours (22 bracelets × 2 hours each), Kelly has 96 hours left for making necklaces (140 total hours - 44 hours for bracelets). Since each necklace takes 3.5 hours to make, she can produce 27 necklaces (96 hours ÷ 3.5 hours per necklace) within the remaining time.
To make 52 necklaces, Kelly would require 182 hours (52 necklaces × 3.5 hours each). This exceeds her available time of 96 hours after fulfilling her bracelet order, making this choice impossible.
This is the correct answer. After making 22 bracelets, Kelly has 96 hours left. With each necklace taking 3.5 hours, she can make 27 necklaces in that time, perfectly fitting within her 140-hour work schedule.
If Kelly were to make 40 necklaces, it would take her 140 hours (40 necklaces × 3.5 hours each). Since she only has 96 hours remaining after making the bracelets, this is not feasible.
Making 31 necklaces would require 108.5 hours (31 necklaces × 3.5 hours each), which also exceeds her remaining 96 hours after fulfilling the bracelet order, rendering this option unworkable.
By calculating her available time after completing a special order for bracelets, it becomes clear that Kelly can efficiently plan her production of necklaces. The correct number of necklaces she can make, given her time constraints, is 27. This result highlights the importance of time management in running a successful home business.
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