Question: Cristian has 50 more black cookies in his cookie jar than white cookies. He eats half of the black cookies and 3/4 of the white cookies. If he initially had 80 white cookies, how many cookies are remaining within the cookie jar altogether?
Answer: Cristian eats 3 / 4 * 80 = 60 white cookies from the jar, 3 / 4 of the total number of white cookies in the cookie jar. The number of white cookies remaining in the cookie jar is 80 - 60 = 20. In his cookie jar, Cristian also has 80 + 50 = 130 black cookies. He eats 1 / 2 * 130 = 65 black cookies from the cookie jar. He remains with 130 - 65 = 65 black cookies after eating half of them. In total, Cristian has 65 + 20 = 85 cookies remaining in the jar. The answer is 85.
[Question]Pat’s computer password is made up of several kinds of alphanumeric and symbol characters for security. He uses a string of eight random lowercase letters, a string half that length of alternating upper case letters and numbers, and one symbol on each end of the password. How many characters in all is Pat‘s computer password?
[Answer]The second string of characters is half as long as the first string, so it is 8 / 2 = 4 characters long. The password has one symbol on each end, so it has 1 * 2 = 2 symbol characters. In all, Pat’s computer password is 8 + 4 + 2 = 14 characters long. The answer is 14.
Q: Greg drives 30 miles from his workplace to the farmer's market. After buying his groceries at the farmers market, he drives home. To get home, he travels for 30 minutes at 20 miles per hour. How many miles in total does Greg travel?
A: We must first convert minutes to hours, so 30 minutes * (1 hour / 60 minutes) = 0.5 hours. The number of miles Greg travels on his trip home is 0.5 hours * 20 mph = 10 miles. The total miles Greg travels is 10 + 30 = 40 miles. The answer is 40.
Question: Tamtam collected 65 shells in total. She got 13 purple shells, 8 pink shells, 18 yellow shells, and 12 blue shells. The remaining shells are color orange. How many orange shells are there?
Answer: Tamtam has a total of 13 + 8 + 18 + 12 = 51 shells that are not orange. Therefore, Tamtam has a total of 65 – 51 = 14 orange shells. The answer is 14.
[Question]For the first hour of work, Manolo can make face-masks at the rate of one every four minutes. Thereafter, he can make face-masks at the rate of one every six minutes. How many face-masks does Manola make in a four-hour shift?
[Answer]He makes 60 / 4 = 15 in the first hour. He makes 60 / 6 = 10 in each subsequent hour. There are 4 - 1 = 3 more hours in his shift. He makes 15 + 10 * 3 = 45. The answer is 45.
[Question]John plays paintball 3 times a month. Each time he plays he buys 3 boxes of paintballs. They cost $25 per box. How much does he spend a month on paintballs?
[Answer]
He spends 3 * 25 = $75 each time he plays. So he spends 75 * 3 = $225. The answer is 225.