[Question]Ann, Becky, and Julia are working at a pharmacy, every day for 8 hours. Each of them is providing service to 7 customers per hour. One day Julia had to finish her work earlier, so she was working only for 6 hours. How many customers did all three of these women serve that day in total?
[Answer]Ann and Becky have worked for 8 hours each, so both of them worked for 2 people * 8 hours / person = 16 hours. All three of them, including Julia, were working for 16 hours + 6 hours = 22 hours. So in total, they all have served 7 customers / hour * 22 hours = 154 customers in one day. The answer is 154.
Q: A printing press is printing brochures. The press prints 20 single-page spreads, and twice as many double-page spreads. For each 4 pages printed for the spreads, the press prints a block of 4 ads, each of which take up a quarter of a page. The brochures can be arranged in any order as long as they are made up of 5 pages each. How many brochures is the printing press creating?
A: There are a total of 20 single - page spreads * 2 = 40 double - page spreads. As these are made up of 2 pages each, there are 40 double - page spreads * 2 pages = 80 pages in the double - page spreads. In total, there are 20 single - pages + 80 double - pages = 100 pages in the spreads. A block of ads is printed every 4 pages, so there will be 100 pages / 4 pages / block = 25 blocks of ads. This is a total of 25 blocks * 4 ads = 100 ads. As each ad takes up a quarter of a page, this must create an additional 100 ads * 0.25 = 25 pages. Therefore, the press has printed 100 pages from the spreads + 25 pages of ads = 125 pages. Since brochures are made up of 5 pages each, this creates a total of 125 pages / 5 = 25 brochures. The answer is 25.
Question: Four people lost a total of 103 kilograms of weight. The first person lost 27 kilograms. The second person lost 7 kilograms less than the first person. The two remaining people lost the same amount. How many kilograms did each of the last two people lose?
Answer: Second person = 27 - 7 = 20 kg. 103 - 27 - 20 = 56 kg. 56 / 2 = 28 kg. The last two people each lost 28 kilograms of weight. The answer is 28.
[Question]Brian can only hold his breath underwater for 10 seconds. He wants to get better, so he starts practicing. After a week, he's doubled the amount of time he can do it. After another week, he's doubled it again from the previous week. The final week, he's increased it by 50% from the previous week. How long can Brian hold his breath for now?
[Answer]At the end of his first week, Brian now has doubled his initial time of 10 seconds to 10 * 2 = 20 seconds. At the end of his second week, Brian doubled the previous week's time of 20 seconds to 20 * 2 = 40 seconds. At the end of his third week of practice, Brian adds another 50% of 40 seconds to his time so 40 * .5 = 20 seconds added. Having added 20 seconds to his time from his second week, Brian can now hold his breath for 40 + 20 = 60 seconds. The answer is 60.
Q: A school principal is booking hotel rooms for a class of 30 students to stay at during an overnight field trip. Each of the hotel's rooms has two queen size beds, which can fit two students each, and a pull-out couch, which can fit one student. How many rooms does the principal need to book to fit all of the students in the class?
A: Each room can fit 2 * 2 + 1 = 5 students. Thus, the principal needs to book 30 / 5 = 6 rooms to fit everyone. The answer is 6.
Question: Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?
Answer:
Out of the first 100 balls, Ralph was able to hit 2 / 5 of them and not able to hit 3 / 5 of them, 3 / 5 x 100 = 60 tennis balls Ralph didn't hit. Out of the next 75 balls, Ralph was able to hit 1 / 3 of them and not able to hit 2 / 3 of them, 2 / 3 x 75 = 50 tennis balls that Ralph didn't hit. Combined, Ralph was not able to hit 60 + 50 = 110 tennis balls Ralph didn't hit. The answer is 110.