A row of houses all share a community space where they put up their clotheslines. There are 2 clotheslines for every house on the street. On the street, there are a total of 11 children and 20 adults. Each child currently has 4 items of clothing on the clotheslines and each adult currently has 3 items of clothing on the clotheslines. If each clothesline can hold 2 items of clothing and all of the clotheslines are full, how many houses are on the street?

How many items of clothing are on the clotheslines? ** From the children, there are a total of 11 children * 4 items of clothing each =

<<11*4=44>>44 items of clothing on the clotheslines. How many items of clothing are on the clotheslines? ** From the adults, there are a total of 20 adults * 3 items of clothing each = <<20*3=60>>60 items of clothing on the clotheslines. How many items of clothing are on the clotheslines? ** So there are a total of 44 + 60 = <<44+60=104>>104 items of clothing on the clotheslines. How many clotheslines are there? ** This means that there are 104 items of clothing / 2 items of clothing per clothesline = <<104/2=52>>52 clotheslines. How many houses are on the street? ** There are 2 clotheslines per house so there must be 52 clotheslines / 2 = <<52/2=26>>26 houses on the street. #### 26 Kevin has a shoebox filled with toads. Every day, Kevin feeds each toad 3 worms. It takes Kevin 15 minutes to find each worm. If it takes Kevin 6 hours to find enough worms to feed all of his toads, how many toads does Kevin have in his shoebox? How many worms does Kevin catch in an hour? ** If it takes 15 minutes to find each worm, then he catches 60/15 = <<60/15=4>>4 worms per hour. How many worms does Kevin catch in 6 hours? ** In 6 hours, Kevin catches 4 * 6 = <<4*6=24>>24 worms. How many toads does Kevin have in his shoebox? ** If he feeds each toad 3 worms, then he has 24/3 = <<24/3=8>>8 toads in his shoebox. #### 8 Mr. McNeely takes a register of the total number of students present in class every day. On a particular week, the number of students in the class on the second day was 40 more than the first day. The number of students who didn't turn up for the class on the second day was twice the number of students who didn't turn up on the third day. On the third day, 1/7 of the total number of students of the class called in sick. If the total number of students in the class is 280, calculate the number of absent students in the three days. How many students called in sick on the third day? ** On the third day, 1/7*280 = <<1/7*280=40>>40 students called in sick. How many students didn't show up for the class on the second day? ** If the number of students absent on the second day was twice the number on the third day, then 2*40 = <<2*40=80>>80 students didn't show up for the class on the second day. How many students were present in the class on the second day? ** The total number of students present in the class on the second day was 280-80= <<280-80=200>>200. How many students showed up for the class on the first day? ** If 40 fewer students showed up for the class on the first day than on the second day, then 200-40 = <<200-40=160>>160 students showed up for the class on the first day. How many students were absent on the first day? ** The number of students absent on the first day is 280-160 = <<280-160=120>>120 How many students were absent in the three days? ** In the three days, the total number of absentees is 120+80+40 = <<120+80+40=240>>240 #### 240 June’s class has 25 students. 60% are girls and the rest are boys. 40% of the boys like playing basketball and the rest don't. The number of girls who like playing basketball is double the number of boys who don't like to. What percentage of the girls in the class like playing basketball? How many boys are in the class? ** 40% of the class is boys because 100-60=<<100-60=40>>40 How many boys are there? ** There are 10 boys because 25x.4=<<25*.4=10>>10 How many boys don't like playing basketball? ** 60% of the boys don't like playing basketball because 100-40=<<100-40=60>>60 How many boys don't like playing basketball? ** 6 boys don't like playing basketball because 10x.6=6 How many girls like playing basketball? ** 12 girls like playing basketball because 6x2=<<6*2=12>>12 How many girls are in the class? ** There are 15 girls in the class because 25-10=<<25-10=15>>15 What percentage of the girls in the class like playing basketball? ** 80% of the girls in class like playing basketball because 12/15=<<12/15=.8>>.8 #### 80 Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did not show up to run. This year, there will be twice as many runners as last year. How many people will run this year? How many runners were there last year? ** There were 200 - 40 = <<200-40=160>>160 runners last year. How many runners will there be this year? ** Therefore, there will be 2 x 160 = <<2*160=320>>320 runners this year. #### 320 A company hires employees on a contract basis, depending on the availability of work. In a particular month, they hired 200 more employees on the first week than on the second week, and 150 fewer employees on the second week than on the third week. If the number of employees hired on the fourth week was twice the number hired in the third week, and the number of employees on the fourth week was 400, what's the average number of employees hired per week? How many employees were on the third week? ** The fourth week had twice the number of employees as the third week, so 400/2 = <<400/2=200>>200 employees on the third week. How many employees were hired on the second week? ** In the third week, they hired 150 fewer employees than on the second week, that is 200-150 = <<200-150=50>>50 employees hired on the second week. How many employees were hired on the first week? ** The first week had 200 more hirings than the second week, that is 50+200 = <<50+200=250>>250 employees. How many employees were hired in total? ** The total number of employees hired is 250+50+200+400 = <<250+50+200+400=900>>900. What's the average number of employees hired per week? ** The average number of employees hired per week is 900/4 = <<900/4=225>>225 employees. #### 225 Andrea buys herself a pony for her 30th birthday. She pays $500/month to rent a pasture for it, $10 a day for food, and $60/lesson for two lessons a week. How much does she spend on her pony in a year? How much does Andrea spend on food? ** First find the annual cost of food: $10/day * 365 days = $<<10*365=3650>>3650 How much does Andrea spend on lessons? ** Then find how much she spends a week on lessons: $60/lesson * 2 lessons = $<<60*2=120>>120 How much does Andrea spend on lessons? ** Then multiply that weekly cost by the number of weeks per year to find the annual cost: $120/week * 52 weeks/year = $<<120*52=6240>>6240 How much does Andrea spend on the pasture? ** Then find the annual cost of the pasture: $500/month * 12 months/year = $<<500*12=6000>>6000 How much does Andrea spend on her pony in a year? ** Then add all the costs to find the total cost: $6000 + $6240 + $3650 = $<<6000+6240+3650=15890>>15890 #### 15890 James has 20 friends. Yesterday at work he got into an argument with 2 of his friends. Now he no longer considers them as friends. On his way back home, he made one more friend. So how many friends does James have left? How many friends does James have left? ** James lost 2 friends, so he has 20 - 2 = <<20-2=18>>18 friends left. How many friends does James have left? ** Then he made 1 friend, James now has 18 + 1 = <<18+1=19>>19 friends. #### 19 Mary bought six apples from the store. From the apples she bought, for each that Mary ate, she planted two trees from the remaining ones. How many apples did Mary eat? How many apples did Mary plant? ** She planted eight trees. This means she used half of that amount of apples, which is 8 trees / 2 trees/apple = <<8/2=4>>4 apples. How many apples did Mary plant? ** That means that she planted four of the six apples she bought, leaving only 6 apples - 4 apples = <<6-4=2>>2 apples to be eaten. #### 2 Billy is reducing raspberry juice down to make syrup. He reduces 6 quarts of juice to 1/12 of its original volume, then adds 1 cup of sugar. What is the final volume of the syrup in cups? (There are 4 cups in a quart) How many cups of juice are there? ** First find the total number of cups of juice: 6 quarts * 4 cups/quart = <<6*4=24>>24 cups How many cups of juice are there after reduction? ** Then find the reduced volume of the juice: 24 cups * 1/12 = <<24*1/12=2>>2 cups How many cups of sugar are there? ** Then add the volume of the sugar to find the total volume of the syrup: 2 cups + 1 cups = <<2+1=3>>3 cups #### 3