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?

40% of the class is boys because 100-60=

<<100-60=40>>40 There are 10 boys because 25x.4=<<25*.4=10>>10 60% of the boys don't like playing basketball because 100-40=<<100-40=60>>60 6 boys don't like playing basketball because 10x.6=6 12 girls like playing basketball because 6x2=<<6*2=12>>12 There are 15 girls in the class because 25-10=<<25-10=15>>15 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? There were 200 - 40 = <<200-40=160>>160 runners last 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? 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. 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. The first week had 200 more hirings than the second week, that is 50+200 = <<50+200=250>>250 employees. The total number of employees hired is 250+50+200+400 = <<250+50+200+400=900>>900. 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? First find the annual cost of food: $10/day * 365 days = $<<10*365=3650>>3650 Then find how much she spends a week on lessons: $60/lesson * 2 lessons = $<<60*2=120>>120 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 Then find the annual cost of the pasture: $500/month * 12 months/year = $<<500*12=6000>>6000 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? James lost 2 friends, so he has 20 - 2 = <<20-2=18>>18 friends 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? 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. 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) First find the total number of cups of juice: 6 quarts * 4 cups/quart = <<6*4=24>>24 cups Then find the reduced volume of the juice: 24 cups * 1/12 = <<24*1/12=2>>2 cups 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 Davante has twice as many friends as there are days in the week. 3 of his friends are girls. How many friends does he have that are boys? Davante has 14 friends because 2 times 7 equals <<2*7=14>>14 Davante has 11 friends who are boys because 14-3 equals <<11=11>>11 #### 11 Johnny is a dog walker. He can walk 3 dogs at once. He gets paid $15 for a 30-minute walk and $20 for a 60-minute walk. Johnny works for 4 hours per day. If he always walks the maximum number of dogs possible and 6 dogs have 60-minute walks per day, how much money does he make in a week where he works 5 days? Johnny spends 6/3=2 hours walking the 6 dogs who have 60-minute walks. He makes $20*6=$<<20*6=120>>120 for these walks. Thus, he has 4-2=2 hours=120 minutes left to walk the other dogs. He can walk 3*(120/30)=<<3*(120/30)=12>>12 dogs in this time. Thus, he will make $15*12=$<<12*15=180>>180 on these walks. In total per day, he makes $120+$180=$<<120+180=300>>300 per day. Thus, during the week, he makes $300*5=$<<300*5=1500>>1500. #### 1500 Austin has 10 pairs of dress shoes he needs to polish over the weekend. If he has polished 45% of individual shoes, how many more shoes does he need to polish? He has 10 pairs of shoes and each pair is made of 2 individual shoes for a total of 10*2 = <<10*2=20>>20 shoes He has already polished 45% of the 20 individual shoes so he has polished .45*20 = <<45*.01*20=9>>9 shoes He has 20 shoes and has already polished 9 shoes so he has 20-9 = <<20-9=11>>11 more shoes to polish #### 11