[Question]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?
[Answer]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.
Q: Emma can run all-around two arenas in 20 hours. If it takes Fernando twice as long to run his course, what's the total time it takes both of them to run all around the two arenas?
A: If it takes Emma 20 hours to run all around the two arenas, it takes Fernando 2 * 20 = 40 hours to run the same distance. Together, they take a total of 40 + 20 = 60 hours to run all around the arenas. The answer is 60.
Question: Archie is playing with his marbles outside. He loses 60% of them into the street. Of the remaining ones, he loses half down a sewer. If he has 20 left, how many did he start with?
Answer: He had 40 before losing them into the sewer because 20 x 2 = 40. He started with 100 because 40 / .4 = 100. The answer is 100.
[Question]Cersei bought 50 cotton candies. She gave her brother and sister 5 cotton candies each, then gave the remaining one-fourth of them to her cousin. If she ate 12 cotton candies, how many cotton candies are left?
[Answer]Cersei gave a total of 5 x 2 = 10 cotton candies to her brother and sister. So, the total cotton candies left were 50 - 10 = 40. And she gave 1 / 4 x 40 = 10 cotton candies to her cousin. So, the total number of cotton candies left was 40 - 10 = 30. Therefore, the total number of cotton candies left after she ate 12 of them is 30 - 12 = 18. The answer is 18.
Q: An aqua park charges $12 admission and $6 for a tour. A group of 10 people goes to the aquarium and takes the tour; while a group of 5 people only goes to the aquarium. How much does the aqua park earn?
A: A group of 10 people is charged $12 + $6 = $18 each. So, 10 people pay $18 x 10 = $180. A group of 5 people pays $12 x 5 = $60 for the admission. Thus, the aqua park earns a total of $180 + $60 = $240. The answer is 240.
Question: Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make?
Answer:
She works 8 hours a day for $18 per hour so she makes 8 * 18 = $144.00 per 8 - hour shift. She works 10 hours a day and anything over 8 hours is eligible for overtime, so she gets 10 - 8 = 2 hours of overtime. Overtime is calculated as time and a half so and she makes $18 / hour so her overtime pay is 18 * .5 = $9.00. Her overtime pay is 18 + 9 = $27.00. Her base pay is $144.00 per 8 - hour shift and she works 5 days and makes 5 * $144 = $720.00. Her overtime pay is $27.00 per hour and she works 2 hours of overtime per day and makes 27 * 2 = $54.00 in overtime pay. 2 hours of overtime pay for 5 days means she makes 54 * 5 = $270.00. In 5 days her base pay is $720.00 and she makes $270.00 in overtime pay so she makes $720 + $270 = $990.00. The answer is 990.