Sadie, Ariana and Sarah are running a relay race. Each part of the race is a different length and covers different terrain. It takes Sadie 2 hours to run through the forest at an average speed of 3 miles per hour. Ariana sprints across the open field on her section at 6 miles per hour for half an hour. If Sarah runs along the beach at four miles per hour and their total time for the race is four and half hours, what is the total distance of the race?

How many miles did Sadie run? ** Sadie ran for 3 miles/hour * 2 hour =

<<3*2=6>>6 miles. How many miles did Ariana run? ** Ariana covered a distance of 6 miles/hour * (1/2) hour = 3 miles. How many hours did Sarah run? ** Sarah ran for 4.5 hours – 2 hours – 0.5 hours = <<4.5-2-0.5=2>>2 hours. How many miles did Sarah travel? ** In this time, Sarah traveled a distance of 4 miles/hour * 2 hours = <<4*2=8>>8 miles. What is the total distance of the race? ** The total distance for the race was 6 miles + 3 miles + 8 miles = <<6+3+8=17>>17 miles. #### 17 A company has 1000 employees. There will be three rounds of layoffs. For each round of layoff, 10% of the remaining employees will be laid off. How many employees will be laid off in total? How many employees will be laid off in the first round? ** The first round will result in 1000 * 10% = <<1000*10*.01=100>>100 employee layoffs. How many employees are remaining after the first round? ** There are 1000 - 100 = <<1000-100=900>>900 employees remaining. How many employees will be laid off in the second round? ** The second round will result in 900 * 10% = <<900*10*.01=90>>90 employee layoffs. How many employees are remaining after the second round? ** There are 900 - 90 = <<900-90=810>>810 employees remaining. How many employees will be laid off in the third round? ** The third round will result in 810 * 10% = <<810*10*.01=81>>81 employee layoffs. How many employees will be laid off in total? ** The total number of of employees laid off is 100 + 90 + 81 = <<100+90+81=271>>271. #### 271 Sam spends sixty minutes studying Science, eighty minutes in Math, and forty minutes in Literature. How many hours does Sam spend studying the three subjects? How many minutes does Sam spend studying the three subjects? ** The total number of minutes he studies the three subjects is 60 + 80 + 40 = <<60+80+40=180>>180 minutes. How many hours does Sam spend studying the three subjects? ** Therefore, Sam spends 180/60 = <<180/60=3>>3 hours. #### 3 Lindsey saved $50 in September, she saved $37 in October, and $11 in November. Lindsey's mom said that since Lindsey had saved more than $75, she would give Lindsey $25. Then Lindsey spent $87 on a video game. How much money did Lindsey have left? How much did Lindsey save in total? ** Lindsey saved $50 + $37 + $11 = $<<50+37+11=98>>98. How much money did Lindsey's mom give her? ** $98 is greater than $75, so Lindsey is given an addition $25 + her original $98 = $<<98+25=123>>123. How much money did Lindsey have left? ** Lindsey had $123 - $87 video game = $<<123-87=36>>36 remaining. #### 36 James decides to use tannerite to blow things up to reveal his baby's gender. The explosion ignites both his neighbors' houses and attracts a police officer, who arrests James on two count of arson, one count of manufacturing explosives, and one count of domestic terrorism. If the arson counts each carry a 6-year sentence, the explosives sentence is twice as long as the total arson sentence, and the domestic terrorism charge's sentence is 20 years, how long might James spend in jail? How many years will James spend in jail for the arson? ** First find the total sentence length for the arson: 6 years/count * 2 counts = 12 years How many years will James spend in jail for the explosives? ** Then find the total sentence length for the explosives: 12 years * 2 = <<12*2=24>>24 years How many years will James spend in jail? ** Then add each sentence to find the total sentence length: 12 years + 24 years + 20 years = <<12+24+20=56>>56 years #### 56 Scott wants to make and freeze a large batch of ratatouille. At the farmers' market he buys 5 pounds of eggplants and 4 pounds of zucchini at $2.00 a pound. He needs 4 pounds of tomatoes that are $3.50 a pound. The onions are $1.00 a pound and he needs 3 pounds. Then he needs a pound of basil which is sold for $2.50 per half pound. If this yields 4 quarts, how much does each quart cost? How many pounds of produce does Scott buy? ** He buys 5 pounds of eggplants and 4 pounds of zucchini so he buys 5+4 = <<5+4=9>>9 pounds of produce How much does Scott spend on produce? ** These 9 pounds are $2.00 a pound for a total of 9*2 = $<<9*2=18.00>>18.00 How much does Scott need in tomatoes? ** He needs 4 pounds of tomatoes that are $3.50 a pound for a total of 4*3.50 = $<<4*3.50=14.00>>14.00 How much does Scott need in onions? ** He needs 3 pounds of onions that are $1.00 a pound so that's 3*1 = $<<3*1=3.00>>3.00 How much does Scott need in basil? ** The basil is sold by the half-pound and he needs a full pound so that's 2.50*2 = $<<2.5*2=5.00>>5.00 How much does Scott spend in total? ** The eggplants and zucchinis cost $18.00, the tomatoes are $14.00, the onions are $3.00 and the basil is $5.00 for a total of 18+14+3+5 = $<<18+14+3+5=40.00>>40.00 How much does each quart cost? ** This recipe makes 4 quarts and the total price of the vegetables was $40.00 so each quart costs 40/4 = $10.00 #### 10 The cafe has 16 chefs and 16 waiters. If 6 chefs and 3 waiters drop out, how many chefs and waiters are left? How many chefs are left? ** There are 16 chefs - 6 chefs = <<16-6=10>>10 chefs left. How many waiters are left? ** There are 16 waiters - 3 waiters = <<16-3=13>>13 waiters left. How many chefs and waiters are left? ** In total there are 10 chefs + 13 waiters = <<10+13=23>>23 chefs and waiters left. #### 23 Hugo's mountain has an elevation of 10,000 feet above sea level. Boris' mountain has an elevation that is 2,500 feet shorter than Hugo's mountain. If Hugo climbed his mountain 3 times, how many times would Boris need to climb his mountain to have climbed the same number of feet as Hugo? How many feet is Boris' mountain? ** Boris' mountain has an elevation 2,500 feet shorter than Hugo's mountain, or 10,000-2,500=<<10000-2500=7500>>7500 feet above sea level. How many feet did Hugo climb? ** If Hugo climbed his mountain 3 times, his total climbing distance would be 3*10,000=<<3*10000=30000>>30,000 feet. How many times would Boris need to climb his mountain to have climbed the same number of feet as Hugo? ** To climb a total of 30,000 feet, Boris would need to need to climb his mountain 30,000/7,500=<<30000/7500=4>>4 times. #### 4 Mrs. Carlton gives out penalty points whenever her students misbehave. They get 5 points for interrupting, 10 points for insulting their classmates, and 25 points for throwing things. If they get 100 points, they have to go to the office. Jerry already interrupted twice and insulted his classmates 4 times. How many times can he throw things before he gets sent to the office? How many points did Jerry get for interrupting? ** For interrupting, Jerry got 5 points per interruption * 2 interruptions = <<5*2=10>>10 points How many points did Jerry get for insulting? ** For insulting, he got 10 points per insult * 4 insults = <<10*4=40>>40 points How many points does Jerry have left? ** To get to the 100 limit points, Jerry has 100 points - 10 points - 40 points = <<100-10-40=50>>50 points left How many throws does Jerry have left? ** He still has 50 points / 25 points per throw = <<50/25=2>>2 throws #### 2 Kate has 2 red balloons and 4 blue balloons. Assuming she inflates 4 more balloons, two of each color red and blue, what is the percent likelihood that one selected at random will be red? How many balloons does Kate have after inflating the 4 new balloons? ** After inflating the 4 new balloons, she will have 2 red + 4 blue + 4 new = <<2+4+4=10>>10 total balloons What is the probability of selecting red? ** The probability of selecting red will be (2 red + 2 red newly inflated) / 10 total balloons = 40% #### 40