Jane, Kyla, and Anthony have summer jobs in a resort. Their task is to fold guests' towels. Jane can fold 3 towels in 5 minutes. Kyla can fold 5 towels in 10 minutes, and Anthony can fold 7 towels in 20 minutes. If they all fold towels together, how many towels can they fold in one hour?
There are 1 x 60 minutes =
<<1*60=60>>60 minutes in 1 hour. There are 60/5 = <<60/5=12>>12 sets of 5 minutes in 1 hour. So, Jane can fold 3 x 12 = <<3*12=36>>36 towels in an hour. There are 60/10 = <<60/10=6>>6 sets of 10 minutes in 1 hour. So, Kyla can fold 5 x 6 = <<5*6=30>>30 towels in an hour. There are 60/20 = <<60/20=3>>3 sets of 20 minutes in 1 hour. So, Anthony can fold 7 x 3 = <<7*3=21>>21 towels in an hour. Therefore, the 3 of them can fold a total of 36 + 30 + 21 = <<36+30+21=87>>87 towels in 1 hour. #### 87 After sharing 100 stickers with her friends, Xia had five sheets of stickers left. If each sheet had ten stickers on it, how many stickers did Xia have at the beginning? Five sheet have 5 x 10 = <<5*10=50>>50 stickers. Therefore, Xia had 100 + 50 = <<100+50=150>>150 stickers at the beginning. #### 150 Tamika drove for 8 hours at an average speed of 45 miles per hour. Logan drove for 5 hours at 55 miles an hour. How many miles farther did Tamika drive? Tamika drove 8 hours * 45 mph = <<8*45=360>>360 miles Logan drove 5 hours * 55 mph = <<5*55=275>>275 miles 360 - 275 = <<360-275=85>>85 miles Tamika drove 85 miles farther. #### 85 James gets paid $0.50/mile to drive a truck carrying hazardous waste. He has to pay $4.00/gallon for gas and his truck gets 20 miles per gallon. How much profit does he make from a 600 mile trip? First find the total payment James receives: $0.50/mile * 600 miles = $<<0.50*600=300>>300 Then find how many gallons of gas he needs to buy: 600 miles / 20 miles/gallon = <<600/20=30>>30 gallons Then multiply that number by the price of gas per gallon to find the total cost of the gas: $4.00/gallon * 30 gallons = $<<4*30=120>>120 Then subtract that amount from James' earnings to find his profit: $300 - $120 = $<<300-120=180>>180 #### 180 Charlotte is a dog walker and is creating a schedule for all of her clients this week. Each dog is walked separately. On Monday, she needs to walk 4 poodles and 2 Chihuahuas. On Tuesday, she walks the same amount of Chihuahuas but isn't sure how many poodles she should walk. On Wednesday, she walks 4 Labradors. It takes 2 hours to walk a poodle, 1 hour to walk a Chihuahua, and 3 hours to walk a Labrador. If she has time for a total of 32 hours spent in dog-walking this week, how many poodles can Charlotte walk on Tuesday? On Monday, she spends 4 poodles * 2 hours = <<4*2=8>>8 hours walking poodles. On Monday, she spends 2 Chihuahuas * 1 hour = <<2*1=2>>2 hours walking Chihuahuas. On Tuesday, she spends 2 Chihuahuas * 1 hour = <<2*1=2>>2 hours walking Chihuahuas. On Wednesday, she spends 4 Labradors * 3 hours = <<4*3=12>>12 hours walking Labradors. Over the week, this is a total of 8 + 2 + 2 + 12 = <<8+2+2+12=24>>24 hours spent dog-walking. This means she still has 32 maximum hours – 24 used hours = <<32-24=8>>8 hours available for dog-walking. Therefore, she can walk 8 hours / 2 hours per poodle = <<8/2=4>>4 poodles on Tuesday. #### 4 Natalia is riding a bicycle for the cycling competition. On Monday she rode 40 kilometers and on Tuesday 50 kilometers. On Wednesday she rode 50% fewer kilometers than the day before. On Thursday she rode as many as the sum of the kilometers from Monday and Wednesday. How many kilometers did Natalie ride in total? On Wednesday she covered half of the distance from Tuesday, so 50 / 2 = <<50/2=25>>25 kilometers. On Thursday she rode 40 + 25 = <<40+25=65>>65 kilometers. In total, Natalia rode 40 + 50 + 25 + 65 = <<40+50+25+65=180>>180 kilometers. #### 180 Yesterday, Bruce and Michael were playing football in the park. Bruce scored 4 goals While Michael scored 3 times more than Bruce. How many goals did Bruce and Michael both score? Bruce scored <<4=4>>4 goals Scoring 3 times more than Bruce, Michael scored 4 * 3 = <<4*3=12>>12 goals. Both, Bruce and Michael scored 12 + 4 =<<12+4=16>>16 goals. #### 16 Mason is trying to download a 880 MB game to his phone. After downloading 310 MB, his Internet connection slows to 3 MB/minute. How many more minutes will it take him to download the game? First find how many MB are left to download: 880 MB - 310 MB = <<880-310=570>>570 MB Then divide that number by the download speed to find the download time: 570 MB / 3 MB/minute = <<570/3=190>>190 minutes #### 190 Walter wants to serve hushpuppies to his guests for his annual fish fry event. He thinks each guest will eat 5 hushpuppies and he is having 20 guests. He can cook 10 hushpuppies in 8 minutes. How long will it take to cook all of the hushpuppies? He wants to serve 5 hushpuppies to each guest and he is having 20 guests so that's 5*20 = <<5*20=100>>100 hush puppies He can only cook 10 hushpuppies at a time and he needs to cook 100 hushpuppies so that's 100/10 = <<100/10=10>>10 batches of hushpuppies Each batch takes 8 minutes to cook and he has 10 batches to cook so it will take him 8*10 = <<8*10=80>>80 minutes #### 80 At the new store, there are 3 times as many grape candies as cherry candies, and 2 times as many apple candies as grape candies. All the candies cost $2.50 each. If the total cost of the candies is $200, how many grape candies does the store have? Total number of candies is 200/2.5=<<200/2.5=80>>80 candies. Let x be the number of cherry candies. There are 3*x grape candies. There are 2*3*x=6*x apple candies. x+3*x+6*x=80 10*x=80 x=<<8=8>>8 There are 8*3=<<8*3=24>>24 grape candies. #### 24