Question: Candace decides to enter a race. The race is run in 4 segments, with racers eliminated at the end of each segment. 10 racers are eliminated after the first segment. A third of the remaining racers are eliminated after the next section. Half of the remaining racers are eliminated before the last leg of the race. If 100 racers started the race, how many will run in the final section of the race?
Answer: After the first segment, there are 100 – 10 = 90 racers left in the race. After the second segment, 90 / 3 = 30 racers are eliminated. This leaves 90 – 30 = 60 racers to compete in the third segment. After the third segment, 60 / 2 = 30 more racers are eliminated. This leaves 60 – 30 = 30 racers to run in the final section of the race. The answer is 30.
[Question]Jezebel needs to buy two dozens of red roses and 3 pieces of sunflowers for a bouquet that she is going to arrange. Each red rose costs $1.50 and each sunflower costs $3. How much will Jezebel pay for all those flowers?
[Answer]Jezebel needs to buy 2 x 12 = 24 red roses. Twenty - four red roses will cost 24 x $1.50 = $36. Three sunflower will cost 3 x $3 = $9. Thus, Jezebel will pay $36 + $9 = $45 for all those flowers. The answer is 45.
Q: Cassie is trimming her pet's nails. She has four dogs and eight parrots. Each dog has four nails on each foot, and each parrot has three claws on each leg, except for one parrot who has an extra toe. How many nails does Cassie need to cut?
A: First, find the number of dog nails by multiplying the number of dogs by the number of nails on each leg and the number of legs on each dog: 4 dogs * 4 legs per dog * 4 nails per leg = 64 nails. Then do the same for parrots, ignoring the one parrot's extra toe for now: 8 parrots * 2 legs per parrot * 3 nails per leg = 48 nails. Now add one to the previous number because one parrot has an extra toe: 48 + 1 = 49 nails. Now add the number of nails from the parrots and the dog: 49 nails + 64 nails = 113 nails. The answer is 113.
Question: 400 adults and 200 children go to a Broadway show. The price of an adult ticket is twice that of a child's ticket. What is the price of an adult ticket if the total amount collected is $16,000?
Answer: Let X be the price of a child ticket. So the price of an adult ticket is X * 2. We know from the problem that 400 * X * 2 + 200 * X = 16,000. After multiplying, we have 800 * X + 200 * X = 16,000. Combining like terms, we have 1000 * X = 16,000. Dividing both sides by 1000, we have X = $16. The price of an adult ticket is $16 * 2 = $32. The answer is 32.
[Question]Molly and her parents love to hang out at the beach on weekends. Molly spent the better part of the day at the beach and saw 100 people join them. At 5:00, 40 people left the beach. What's the total number of people at the beach if they all stayed until evening?
[Answer]Molly and her parent were 2 + 1 = 3 people. When 100 more people joined, the total number became 3 + 100 = 103. If 40 people left before evening, the number reduced to 103 - 40 = 63 people. The answer is 63.
[Question]Every morning, Jason eats an omelet made using three eggs. How many eggs will Jason consume in two weeks?
[Answer]
Two weeks is 7 * 2 = 14 days. If Jason eats three eggs per day for two weeks, then he consumes 3 * 14 = 42 eggs. The answer is 42.