Lucy lost one-third of her money. She then spent one-fourth of the remainder, and only left with $15. How much money did Lucy have at the beginning?
Let's think: The $15 is 1 - 1 / 4 = 3 / 4 of the money left. Since 3 / 4 is equal to $15, then 1 / 4 is equal to $15 / 3 = $5. So Lucy had $5 x 4 = $20 left after losing 1 / 3 of her money. Hence, $20 is 1 - 1 / 3 = 2 / 3 of the money that Lucy had at the beginning. Since 2 / 3 is equal to $20, then 1 / 3 is equal to $20 / 2 = $10. Therefore, Lucy had $10 x 3 = $30 at the beginning.. The answer is: 30.

Jaynie wants to make leis for the graduation party. It will take 2 and half dozen plumeria flowers to make 1 lei. If she wants to make 4 leis, how many plumeria flowers must she pick from the trees in her yard?
Let's think: To make 1 lei, Jaynie will need 2.5 x 12 = 30 plumeria flowers. To make 4 leis, she will need to pick 30 x 4 = 120 plumeria flowers from the trees.. The answer is: 120.

A teacher teaches 5 periods a day and works 24 days a month. He is paid $5 per period. if he has been working for 6 months now how much has he earned in total?
Let's think: The amount paid to the teacher per day is 5 periods * $5 / period = $25 per day. The amount paid for 24 days is $25 / day * 24 days = $600. The total amount for 6 months is $600 * 6 = $3600.. The answer is: 3600.

Carla had 400 chickens on her chicken farm. However, 40% of the chicken died due to a certain disease. How many chickens were there if she bought ten times as many chickens as the number that died due to disease?
Let's think:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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If Carla had 400 chickens on her chicken farm, the number that died is 40 / 100 * 400 = 160. Carla remained with 400 - 160 = 240 chickens. Carla then bought 10 * 160 = 1600 new chickens. The total number of chicken that Carla had now is 1600 + 240 = 1840.. The answer is: 1840.