[Question]A psychologist believes one in every four people has a disorder he calls ZYX syndrome. The clinic where he works has recently doubled its previous number of 26 patients. How many patients is the psychologist likely to diagnose with ZYX syndrome?
[Answer]The clinic has 26 * 2 = 52 patients. The psychologist believes 1 / 4 of people have the disorder, so he is likely to diagnose 52 / 4 = 13 patients with ZYX syndrome. The answer is 13.
Q: Emily bought 9 packs of candy necklaces to give her classmates at school for Valentine’s Day. Each pack had 8 candy necklaces in it. Emily opened one pack at a time. After her classmates took as many as they wanted, there were 40 candy necklaces left. How many packs did Emily open for her classmates?
A: Emily bought 9 packs of candy necklaces * 8 candy necklaces in a pack = 72 candy necklaces. Her classmates took 72 candy necklaces – 40 candy necklaces left = 32 candy necklaces. Since each pack contained 8 necklaces, this means 32 / 8 = 4 packs of candy necklaces were opened. The answer is 4.
Question: Tyrone empties his piggy bank and finds two $1 bills, a $5 bill, 13 quarters, 20 dimes, 8 nickels, and 35 pennies. How much money does Tyrone have?
Answer: He has $2 in $1 bills because 2 times 1 equals 2. He has $5 in $5 bills because 1 times 5 equals 5. He has $3.25 in quarters because 13 times .25 equals 3.25. He has $2 in dimes because 20 times .1 equals 2. He has $.40 in nickels because 8 times .05 equals .4. He has $.35 in pennies because 35 times .01 equals .35. He has $13 because 2 plus 5 plus 3.25 plus 2 plus .4 plus .35 equals 13. The answer is 13.
[Question]Kiaan is doing home delivery of newspapers in his neighborhood of 200 homes. After an hour of work, he has distributed newspapers to 2/5 of the homes. After another 2 hours of working, he realizes he has distributed newspapers to 60 percent of the remaining homes. How many homes does he still need to distribute the newspapers to?
[Answer]After the first hour of work, he has distributed newspapers to 2 / 5 * 200 = 80 homes. The number of homes that still need newspapers is 200 - 80 = 120. Two hours later, the number of homes he has distributed newspapers to is 60 / 100 * 120 = 72 homes. The number of homes he still needs to distribute newspapers to is 120 - 72 = 48 homes. The answer is 48.
Q: Three train stations are 2 hours apart from one another. Kira travels from the first station to the third, taking a 30 minutes break at the second station. What's the total time, in minutes, that Kira takes to travel between the first and third station?
A: Travel between the three stations takes 2 + 2 = 4 hours. The total time for the journey is 4 * 60 = 240 minutes. If Kira takes a 30 - minute break, her journey takes 240 + 30 = 270 minutes. The answer is 270.
Question: An auto shop has a part that Clark needs for $80. Clark buys 7 of them and got a discount. If Clark only had to pay $439, how much was the discount?
Answer:
Originally the car parts would be a total of 80 * 7 = 560 dollars. Clark got a discount for 560 - 439 = 121 dollars. The answer is 121.