Working together, four pugs can clean their house in 45 minutes. In how many minutes will 15 pugs working together be able to clean their house?

If four pugs can clean their house in 45 minutes, one pug will take 4*45 =

<<4*45=180>>180 minutes. Since one pug working alone takes 180 minutes to clean the house, fifteen pugs working together will be able to clean their house in 180/15 = <<180/15=12>>12 minutes #### 12 Rick held a fundraiser and is figuring out who still owes money. He marked on a sheet how much everyone has promised to contribute, but he forgot to note how much some people had actually paid. Altogether, everyone has promised to contribute $400, and Rick has actually received $285. Sally, Amy, Derek, and Carl all still owe money. Sally and Carl both owe equal amounts, Amy owes $30, and Derek owes half as much as Amy. How much, in dollars, do Sally and Carl each owe? In total, Rick is still owed 400 - 285 = $<<400-285=115>>115. Derek owes half as much as Amy, so he owes $30 / 2 = $<<30/2=15>>15. This means that Sally and Carl owe a combined total of $115 - $30 – $15 = $<<115-30-15=70>>70. As they owe equal amounts, they therefore owe $70 / 2 = $<<70/2=35>>35 each. #### 35 A special school for deaf and blind students has a deaf student population three times the size of blind student population. If the number of deaf students is 180, how many students are there altogether? Call the number of blind students b. There are 180 deaf students, which is three times the number of blind students, so 3b = 180 Multiplying both sides of the equation by 1/3 gives b = (1/3)*180 = <<(1/3)*180=60>>60 The total number of students is 180 + 60 = <<180+60=240>>240 #### 240 Carl is taking a class where the whole grade is based on four tests that are graded out of 100. He got an 80, a 75 and a 90 on his first three tests. If he wants an 85 average for the class, what is the minimum grade he needs to get on his last test? First, find the total number of points Carl needs to earn across all the tests by multiplying his desired average by the number of tests: 85 * 4 = <<85*4=340>>340 marks. Then subtract all Carl's previous test scores to find the last score he needs to earn: 340 - 80 - 75 - 90 = <<340-80-75-90=95>>95 marks. #### 95 Happy Cattle Ranch is home to 200 cows. Every year, the mother cows have enough calves that the number of cows the rancher owns rises by half the number of cows living on the ranch. If the rancher does not buy or sell any cows, how many cows will the rancher own on Happy Cattle Ranch in two years? In one year, the rancher will have 200 + 200/2 = 200 + 100 = <<200+200/2=300>>300 cows. In two years, the rancher will have 300 + 300/2 = 300 + 150 = <<300+300/2=450>>450 cows. #### 450 Karen and Donald and their 6 children are sharing a beach house with Tom and Eva and their 4 children. If there are 16 legs in the pool, how many people are not in the pool? Karen and Donald and their 6 children are a party of 1+1+6 = <<1+1+6=8>>8 people Tom and Evan and their 4 children are a party of 1+1+4 = 6 people All total, there are 8 + 6 = <<8+6=14>>14 people at the beach house There are 16 legs in the pool and everyone has 2 legs so there are 16/2 = <<16/2=8>>8 people in the pool There are 14 people total at the beach house and 8 people are in the pool so 14-8 = <<14-8=6>>6 people are not in the pool #### 6 Kyle bikes for 2 hours to work every day. Ten times the time he takes to travel to work and back is the same as the cost of buying a pack of snacks (in dollars). How much will Ryan pay, in dollars, to buy 50 packs of snacks? A round trip to work and back takes 2*2 = <<2*2=4>>4 hours Ten times the time Kyle takes to travel to work and back is the same as the cost of buying a pack of snacks, meaning the packs are sold at 4*10 = $<<10*4=40>>40 each Ryan will pay $40*50=$<<40*50=2000>>2000 to buy 50 packs of snacks? #### 2000 Tom's puts 30 miles per day on his bike for the first 183 days of the year. For the rest of the days of the year he goes 35 miles per day. How many miles does he drive for the year? For the first 183 days he drives 183*30=<<183*30=5490>>5490 miles There are 365-183=<<365-183=182>>182 days left in the year He drives 35*182=<<35*182=6370>>6370 for those days So in total he drives 5490+6370=<<5490+6370=11860>>11,860 #### 11860 Bill has played 200 games of poker and won 63% of them. If he plays 100 more games and loses 43 of them, what is his new win percentage? First find the total number of games Bill has won: 200 games * 63% = <<200*63*.01=126>>126 games Then find how many of the next 100 games he wins by subtracting the number he loses from the total: 100 games - 43 games = <<100-43=57>>57 games Then add his new wins to his old wins to find his total wins: 57 games + 126 games = <<57+126=183>>183 games Then add the old total number of games to the new total number of games to find the overall total number of games: 200 games + 100 games = <<200+100=300>>300 games Then divide the total number of games Bill won by the overall total number of games and multiply by 100% to find the percentage of games he won: 183 games / 300 games * 100% = 61% #### 61 Karen is planning writing assignments for her fifth grade class. She knows each short-answer question takes 3 minutes to answer, each paragraph takes 15 minutes to write, and each essay takes an hour to write. If Karen assigns 2 essays and 5 paragraphs, how many short-answer questions should she assign if she wants to assign 4 hours of homework total? First figure out how many minutes 4 hours is: 4 hours * 60 minutes/hour = <<4*60=240>>240 minutes Then figure out how long the two essays will take by multiplying the time per essay by the number of essays: 2 essays * 1 hour/essay * 60 minutes/hour = <<2*1*60=120>>120 minutes Use the same method to find the total time spent writing paragraphs: 15 minutes/paragraph * 5 paragraphs = <<15*5=75>>75 minutes Now subtract the time spent on essays and paragraphs from the total time to find the time spent on all the short answer questions: 240 minutes - 120 minutes - 75 minutes = <<240-120-75=45>>45 minutes Finally, divide the total time spent on short-answer questions by the time per question to find the number of questions: 45 minutes / 3 minutes/question = <<45/3=15>>15 questions #### 15