Nellie can eat 12 sourball candies before crying. Jacob can only manage half of that number of candies, and Lana can only do three fewer than Jacob. They had a bucket of 30 candies, and all of them ate until they cried. If they divide the remaining candies in the bucket equally, how many sourball candies will they each get?

How many candies can Jacob eat? ** Jacob can eat 12 / 2 =

<<12/2=6>>6 candies before crying. How many candies can Lana eat? ** Lana can eat 6 - 3 = <<6-3=3>>3 candies before crying. How many candies did Nellie, Jacob, and Lana eat? ** Nellie, Jacob, and Lana all ate until they cried, so they ate 12 + 6 + 3 = <<12+6+3=21>>21 candies. How many candies are left? ** Thus, there are 30 - 21 = <<30-21=9>>9 candies left in the bucket. How many sourball candies will each get? ** After dividing the remaining candies equally, they will each get 9 / 3 = <<9/3=3>>3 sourball candies. #### 3 John sublets his apartment to 3 people who each pay $400 per month. He rents the apartment for $900 a month. How much profit does he make in a year? How much do the tenants pay? ** He gets 3*$400=$<<3*400=1200>>1200 per month How much does he get in a year? ** So he gets 1200*12=$<<1200*12=14400>>14,400 per year How much does he pay in a year? ** So he pays 12*900=$<<12*900=10800>>10800 a year How much profit does he make in a year? ** That means his profit is 14400-10800=$<<14400-10800=3600>>3600 per year #### 3600 In a northwestern town, it rained 4 inches per day during the first 15 days of November. For the remainder of the month, the average daily rainfall was twice the amount observed during the first 15 days. What is the total amount of rainfall for this town in November, in inches? How many days did the town receive 4 inches of rain? ** Since November has 30 days, the town received 4 inches of rain for the first half of the month for 30/2 = 15 days. How many inches of rain did the town receive? ** The total inches of rain that the town received for the 15 days is 15*4 = <<15*4=60>>60 inches. How many inches of rain did the town receive for the remaining half of the month? ** The rain falling in the town increased by 2*4 = <<2*4=8>>8 inches per day for the remaining half of the month. How many inches of rain did the town receive for the remaining half of the month? ** Therefore, for the rest of the month, the town received 8*15 = <<8*15=120>>120 inches of rain. What is the total amount of rainfall for this town in November, in inches? ** The total amount of rain the town received in November is 120+60 = <<120+60=180>>180 inches #### 180 Oscar wants to train for a marathon. He plans to add 2/3 of a mile each week until he reaches a 20-mile run. How many weeks before the marathon should he start training if he has already run 2 miles? How many miles does Oscar need to run? ** Oscar needs to increase his maximum running time from 20 - 2 = <<20-2=18>>18 miles. How many weeks will Oscar need to prepare? ** Oscar will need a total of 18 / ( 2 / 3 ) = <<18/(2/3)=27>>27 weeks to prepare. #### 27 Tony decided he wanted to be an astronaut. He went to college for 4 years to get a degree in science. He then went on to get 2 more degrees in other fields for the same period of time. He also got a graduate degree in physics, which took another 2 years. How many years in total did Tony go to school to be an astronaut? How many years did Tony spend on his degrees? ** Tony got 3 degrees which each took 4 years, for 3*4=<<3*4=12>>12 years spent. How many years in total did Tony go to school to be an astronaut? ** He then got his graduate degree, which was another 2 years added to the previous total, for 12+2=<<12+2=14>>14 years in total. #### 14 Naomi is doing the wash. First she makes piles of different types, with one pile for towels, one for sheets, and one for clothes that need to be washed on the gentle cycle. The clothes take 30 minutes to wash. The towels take twice as long as the clothes to wash. The sheets take 15 minutes less time to wash than the towels. How many minutes total will it take for Naomi to wash everything? How many minutes will it take to wash the towels? ** The clothes take 30 minutes to wash and the towels take twice as long, 30 x 2 = <<30*2=60>>60 minutes to wash the towels. How many minutes will it take to wash the sheets? ** The sheets take 15 minutes less than the towels, 60 - 15 = <<60-15=45>>45 minutes to wash the sheets. How many minutes will it take to wash everything? ** It takes 30 minutes + 60 minutes + 45 minutes = <<30+60+45=135>>135 minutes to wash everything. #### 135 Josh built his little brother a rectangular sandbox. The perimeter of the sandbox is 30 feet and the length is twice the width. What is the width of the sandbox? How many sides are there? ** There are four sides to a rectangle, the width is W and so the length is 2W, and we can put that in this equation: W + W + 2W + 2W = 30 feet. How many sides are there? ** If we add the sides together, we get 6W = 30 feet. How many feet is the width? ** To find W, we divide both sides by 6, like this: 6W / 6 = 30 feet / 6, so W = 5 feet. #### 5 Chad sandwiches 2 crackers with a scoop of peanut butter. He has 5 of these crackers a night before bed. A box of crackers has 4 sleeves with each sleeve holding 28 crackers. How many nights will 5 boxes of crackers last him? How many crackers does Chad eat each night? ** Chad uses 2 crackers for each "sandwich" and has 5 sandwiches a night so he eats 2*5 = <<2*5=10>>10 crackers a night How many crackers are in each sleeve? ** The box has 4 sleeves of crackers and each sleeve has 28 crackers for a total of 4*28 = <<4*28=112>>112 crackers How many crackers are in 5 boxes? ** 1 box has 112 crackers so 5 boxes will have 112*5 = <<112*5=560>>560 crackers How many nights will 5 boxes of crackers last him? ** He eats 10 crackers a night and 5 boxes have 560 crackers so they will last him 560//10 = <<560//10=56>>56 nights #### 56 Utopia National Park hosted 30,000 elephants on Friday night. The next morning, there was a 4-hour elephant exodus out of the park, at a constant rate of 2,880 elephants/hour. Over the next 7-hour period, new elephants entered the park at a constant rate. If the final number of elephants in the park was 28,980, at what rate did the new elephants enter the park? How many elephants left the park on Saturday morning? ** The Saturday morning exodus out of the park comprised 4*2880 = <<4*2880=11520>>11520 elephants How many elephants were left in the park after the exodus? ** This means that after the exodus, the park was left with 30000 - 11520 = <<30000-11520=18480>>18480 elephants How many new elephants entered the park? ** Since the final number of elephants was 28,980, the new elephants that entered were 28980 - 18480 = <<28980-18480=10500>>10500 How many new elephants entered the park per hour? ** The rate at which the new elephants entered the park was therefore 10500/7 = <<10500/7=1500>>1500 elephants/hour #### 1500 Holly needs to take 2 insulin pills per day, 3 blood pressure pills per day, and twice as many anticonvulsants as blood pressure pills each day. How many pills does Holly take in a week? How many blood pressure pills does Holly take? ** First find the number of anticonvulsant pills Holly takes: 3 pills * 2 = <<3*2=6>>6 pills How many pills does Holly take in a day? ** Then find the total number of pills Holly takes each day: 6 pills + 2 pills + 3 pills = <<6+2+3=11>>11 pills How many pills does Holly take in a week? ** Then multiply that number by the number of days in a week to find the number of pills Holly takes each week: 11 pills/day * 7 days/week = <<11*7=77>>77 pills/week #### 77