answer:Mark visits 20 households per day for 5 days, so he visits a total of 20 * 5 = 100 households. If half of those households give him a pair of 20-dollar bills, then he receives money from 100 / 2 = 50 households. Each household gives him a pair of 20-dollar bills, so he receives 50 * 2 * 20 = 2000. The total amount of money he collected for the homeless is 2000. 2000 The answer is: 2000

answer:Liza got 90% of the 60 items correct, which means she got 60 * 90/100 = 54 correct answers. Rose got 2 more correct answers than Liza, so she got 54 + 2 = 56 correct answers. To find the number of incorrect answers Rose had, we subtract the number of correct answers from the total number of items on the exam: 60 - 56 = 4. Therefore, Rose had 4 incorrect answers. 4 The answer is: 4

answer:Let x be the number of people who believe that fuchsia is ``purply.'' According to the given information, 27 people believe that fuchsia is both ``kinda pink'' and ``purply,'' and 17 people believe that fuchsia is neither ``kinda pink'' nor ``purply.'' Therefore, the number of people who believe that fuchsia is ``purply'' is x-27 (excluding the 27 people who believe both). Since there are 100 people in total, we can write the equation 60 + (x-27) + 17 = 100. Simplifying, we find x-27=23 and x = boxed{50}. The answer is: 50

answer:Since the mean and median are both 4, the three numbers must be 1, 4, and 7. The range is the difference between the largest and smallest number, so the range is 7-1=boxed{6}. The answer is: 6