A school is buying virus protection software to cover 50 devices. One software package costs $40 and covers up to 5 devices. The other software package costs $60 and covers up to 10 devices. How much money, in dollars, can the school save by buying the $60 software package instead of the $40 software package? Give the rationale and then the answer.
Let's think step by step. There are 50 / 5 = 10 sets of 5 devices in the school. So the school will pay a total of $40 x 10 = $400 for the $40 software package. There are 50 / 10 = 5 sets of 10 devices in the school. So the school will pay a total of $60 x 5 = $300 for the $60 software package. Thus, the school can save $400 - $100 = $300 from buying the $60 software instead of the $40 software package.. The answer is: 100.

Jerry bought 48 firecrackers for the 4th of July. A police officer discovered and confiscated 12 of them. 1/6 of the remaining ones were defective. If Jerry set off half the good firecrackers, how many firecrackers did he set off? Give the rationale and then the answer.
Let's think step by step. First subtract the 12 confiscated firecrackers from the original number: 48 firecrackers - 12 firecrackers = 36 firecrackers. Then multiply this number by 1 / 6 to find how many were defective: 36 firecrackers * 1 / 6 = 6 firecrackers. Then subtract the defective firecrackers to find how many were good: 36 firecrackers - 6 firecrackers = 30 firecrackers. Then divide this number in half to find how many firecrackers Jerry set off: 30 firecrackers / 2 = 15 firecrackers.. The answer is: 15.

When Jane visited Iran, she visited 6 more than twice as many rehabilitation centers as Han. Han visited 2 less than twice as many rehabilitation centers as Jude did. Jude visited half fewer rehabilitation centers as Lisa did. If Lisa visited 6 rehabilitation centers, how many rehabilitation centers did they all visit assuming they are all different? Give the rationale and then the answer.
Let's think step by step. Jude visited 1 / 2 * 6 = 3 rehabilitation centers. Han visited 2 * 3 - 2 = 4 rehabilitation centers. Jane visited 6 + 2 * 4 = 14 rehabilitation centers. They all visited 6 + 3 + 4 + 14 = 27 rehabilitation centers.. The answer is: 27.