Jack leaves his bathtub's faucet dripping at a rate of 40 ml/minute. Water evaporates from the bathtub at a rate of 200 ml/hour. If he leaves the water running for 9 hours, then dumps out 12 liters, how many milliliters of water are left in the bathtub?
First find how much water fills the bathtub per hour: 40 ml/minute * 60 minutes/hour =
<<40*60=2400>>2400 ml/hour Then subtract the water that evaporates to find the total amount of water added per hour: 2400 ml/hour - 200 ml/hour = <<2400-200=2200>>2200 ml/hour Then multiply that amount by the number of hours to find the total amount of water in the tub: 2200 ml/hour * 9 hours = <<2200*9=19800>>19800 ml Then find the number of milliliters in 12 liters: 12 liters * 1000 ml/liter = <<12*1000=12000>>12000 ml Then subtract the water Jack removes from the total amount of water to find the remaining amount of water: 19800 ml - 12000 ml = <<19800-12000=7800>>7800 ml #### 7800 Julia just adopted a puppy for $20.00 from the local pet shelter. Before she brings the puppy home, she needs to buy a bag of dog food for $20.00, 2 bags of treats for $2.50 a bag, an assortment box of toys for $15.00, a crate and a bed for $20.00 each, and the collar/leash combo for $15.00. The store offered Julia a 20% new-customer discount. How much will Julia spend on the new puppy? The treats are $2.50 a bag and she buys 2 bags for a total of 2.50*2 = $<<2.5*2=5.00>>5.00 The crate and bed are $20.00 each so they will cost 2*20 = $40.00 She spends $20.00 on dog food, $5.00 on treats, $15.00 on toys $40.00 for a crate and bed and $15.00 for a leash for a total of 20+5+15+40+15 = $<<20+5+15+40+15=95.00>>95.00 With the 20% off, she can expect a .20*95 = $<<20*.01*95=19>>19 discount on her order. Her supplies were $95.00 and she has a $19.00 discount for a total of 95-19 = $<<95-19=76.00>>76.00 Her supplies cost $76.00 and the puppy adoption was $20.00 for a grand total of 76+20 = $<<76+20=96.00>>96.00 #### 96 Of the 3 friends, Harry has 4 times as many fish as Joe, and Joe has 8 times as many fish as Sam does. If Sam has 7 fish, how many fish does Harry have? Joe has 8*7 = <<8*7=56>>56 fish. Harry has 4*56 = <<4*56=224>>224 fish. #### 224 Tom and Elizabeth have a competition to climb a hill. Elizabeth takes 30 minutes to climb the hill. Tom takes four times as long as Elizabeth does to climb the hill. How many hours does it take Tom to climb up the hill? It takes Tom 30*4 = <<30*4=120>>120 minutes to climb the hill. It takes Tom 120/60 = <<120/60=2>>2 hours to climb the hill. #### 2 Parker and Richie split a sum of money in the ratio 2:3. If Parker got $50 (which is the smaller share), how much did they share? If Parker got $50 with a ratio of 2, then the unit share is $50/2 = $<<50/2=25>>25 Using the sharing ratio, Richie gets 3 unit shares which total to 3*$25 = $<<3*25=75>>75 The money they shared was $50+$75 = $<<50+75=125>>125 #### 125 After five years, Ron will be four times as old as Maurice. If Ron's age now is 43, how old is Maurice now? If Ron is 43 now, he will be 43+5 = <<43+5=48>>48 years old in five years. After five years, Ron will be four times as old as Maurice, meaning Maurice will be 48/4 =<<48/4=12>>12 years old then. Currently, Maurice is 12-5 = <<12-5=7>>7 years old. #### 7 Colin ran his first mile in 6 minutes. He ran his next two miles in 5 minutes each and finished his 4th mile in 4 minutes. What was the average time it took him to run a mile? His first mile was in 6 minutes, then 5 minutes, another 5 minutes and his final mile was 4 minutes so it took him 6+5+5+4 = <<6+5+5+4=20>>20 minutes It took 20 minutes to run 4 miles so his average time was 20/4 = <<20/4=5>>5 minutes per mile #### 5 Mr. Rocky went to the market to sell his handmade crafts on a particular week. He was selling jewelry at $30 each and paintings at $100 each. However, he realized the income from the sales wasn't worth the labor and materials he had used, so he decided to increase the price of jewelry by $10 each and the cost of each painting by 20%. Calculate the total price a buyer who takes two pieces of jewelry and five paintings would pay After increasing the price of a piece of jewelry, the price increased from $30 to $30+$10 = $<<30+10=40>>40 each. He also increased the price of each painting by 20/100*100 = $<<20/100*100=20>>20 The total price for buying one painting at the new price is $100+$20 = $<<100+20=120>>120 If a buyer purchases two pieces of jewelry, the total cost becomes 2*$40 = $<<2*40=80>>80 When the buyer also buys 5 paintings, he pays a total of $120*5 = $<<120*5=600>>600 2 pieces of jewelry and 5 paintings cost $600+$80 = $680 at the new prices. #### 680 Mona plays a multiplayer video game on the weekends. She joins groups with four other players to complete objectives in the game. The past weekend, she joined 9 groups. One of the groups included two players she had grouped with before that weekend, and another group included one person she had grouped with before. How many unique players did Mona group with on the video game that weekend? Mona joined 9 groups, so she played with 9 * 4 = <<9*4=36>>36 people. She grouped with 2 + 1 = <<2+1=3>>3 people twice. Thus, she played with 36 - 3 = <<36-3=33>>33 unique players that weekend. #### 33 A park has three colors of flowering crepe myrtle trees planted: red, white, and pink. When they bloom, a third of them are pink, but only two are red. Most of them are white. There are 42 crepe myrtle trees in the park. How many have white flowers when they bloom? The park has 42 / 3 = <<42/3=14>>14 pink crepe myrtle trees. It has 2 red trees, so it has 14 + 2 = <<14+2=16>>16 pink and red trees. Therefore, there are 42 - 16 = <<42-16=26>>26 crepe myrtle trees that have white flowers when they bloom in the park. #### 26