[Question]Sydney and Conner are having a three day rock collecting contest to see who can have the largest collection after adding to their existing collections. Before they start, Sydney has 837 rocks and Conner has 723. On day one, Sydney collects 4 rocks and Conner collects 8 times as many. On day two Sydney rests and Conner collects 123. On the third day, Sydney collects twice as many as Conner did on the first day. How many does Conner have to collect on day three to make sure he at least ties Sydney?
[Answer]On day one Conner collects 32 rocks because 8 x 4 = 32. On day three Sydney collects 64 because 32 x 2 = 64. After three days Sydney has 915 rocks because 837 + 0 + 4 + 64 = 905. Before the third day Conner has 878 because 723 + 32 + 123 = 878. Conner needs to collect 37 on day three to tie Sydney because 905 - 878 = 27. The answer is 27.
Q: If Janet reads 80 pages a day and Belinda reads 30 pages a day, how many more pages does Janet read in 6 weeks?
A: First find the total number of days in 6 weeks: 6 weeks * 7 days / week = 42 days. Then find the total difference in the number of pages Janet and Belinda read each day: 80 pages / day - 30 pages / day = 50 pages / day. Then multiply the daily difference by the number of days to find the total difference in the number of pages they read: 50 pages / day * 42 days = 2100 pages. The answer is 2100.
Question: Caleb has 3 dozen jellybeans. Sophie has half as many jellybeans as Caleb. How many jellybeans do they have in total?
Answer: Caleb has 3 x 12 = 36 jellybeans. Sophie has 36 / 2 = 18 jellybeans. Together, they have 36 + 18 = 54 jellybeans. The answer is 54.
[Question]Merry is taking care of 10 lambs. Her brother takes care of 3 more lambs than Merry. How many lambs do Merry and her brother have?
[Answer]Merry's brother takes care of 10 + 3 = 13 lambs. So, together Merry and her brother have 10 + 13 = 23 lambs. The answer is 23.
Q: John builds a box. The box is 26 inches by 26 inches by 14 inches. The walls are 1 inch thick on each side. How much is the internal volume in cubic feet?
A: The walls take away 2 * 1 = 2 inches from each dimension. So the longer sides are 26 - 2 = 24 inches. That is 24 / 12 = 2 feet. The smaller dimension is 14 - 2 = 12 inches. That is 12 / 12 = 1 foot. So the internal volume is 2 * 2 * 1 = 4 cubic feet. The answer is 4.
Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer:
The population of Gordonia is 1 / 2 * 80000 people = 40000 people. Toadon has 60 / 100 * 40000 people = 24000 people. The total population of Gordonia and Toadon is 40000 people + 24000 people = 64000 people. The population of Lake Bright is 80000 people - 64000 people = 16000 people. The answer is 16000.