Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of 40 feet/minute. How much longer does Ann's trip take than Mary?

How many minutes does Mary take? ** First find the total time Mary's trip takes: 630 feet / 90 feet/minute =

<<630/90=7>>7 minutes How many minutes does Ann take? ** Then find the total time Ann's trip takes: 800 feet / 40 feet/minute = <<800/40=20>>20 minutes How much longer does Ann's trip take than Mary? ** Then subtract Mary's time from Ann's time to find the difference: 20 minutes - 7 minutes = <<20-7=13>>13 minutes #### 13 There are 28 students in a classroom. Half of them have 5 notebooks each and the other half have 3 notebooks each. How many notebooks in total are in the classroom? How many students are in the half of the class? ** Half of the class consists of 28 students / 2 = <<28/2=14>>14 students. How many notebooks do the half of the students have? ** One half of the students have 14 students * 3 notebooks/student = <<14*3=42>>42 notebooks. How many notebooks do the other half of the students have? ** The other half have 14 students * 5 notebooks/student = <<14*5=70>>70 notebooks. How many notebooks in total are in the classroom? ** There are 42 notebooks + 70 notebooks = <<42+70=112>>112 notebooks in total in the classroom. #### 112 Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw? How many animals did Erica see on Saturday? ** On Saturday, Erica saw 3 + 2 = <<3+2=5>>5 animals How many animals did Erica see on Sunday? ** On Sunday she spotted 2 + 5 = <<2+5=7>>7 animals How many animals did Erica see on Monday? ** On Monday, she saw 5 + 3 = <<5+3=8>>8 animals How many animals did Erica see in total? ** Adding up all the animals Erica saw gives a total of 5 + 7 + 8 = <<5+7+8=20>>20 animals #### 20 Caroline has 40 pairs of socks. She loses 4 pairs of socks at the laundromat. Of the remaining pairs of socks, she donates two-thirds to the thrift store. Then she purchases 10 new pairs of socks, and she receives 3 new pairs of socks as a gift from her dad. How many pairs of socks does Caroline have in total? How many pairs of socks does Caroline have after losing some socks? ** After losing some socks, Caroline has 40 - 4 = <<40-4=36>>36 pairs of socks How many pairs of socks does Caroline donate? ** Caroline donates 36 * (2/3) = <<36*(2/3)=24>>24 pairs of socks to the thrift store How many pairs of socks does Caroline have remaining? ** After donating some socks, Caroline has 36 - 24 = <<36-24=12>>12 pairs of socks remaining How many pairs of socks does Caroline have in total? ** After getting new socks, Caroline has 12 + 10 + 3 = <<12+10+3=25>>25 pairs of socks #### 25 Denny, an Instagram influencer, has 100000 followers and gets 1000 new followers every day. How many followers will he have if 20000 people unfollowed him in a year? How many new followers will Denny get in a year? ** The total number of new followers after a year is 365*1000 = <<365*1000=365000>>365000 followers. How many followers will Denny have in a year? ** His total number of followers in a year is 100000+365000 = <<100000+365000=465000>>465000 followers. How many followers will Denny have after 20000 people unfollowed him? ** If 20000 people unfollowed him, the total number of followers remaining is 465000-20000 = 445000 followers. #### 445000 Abel leaves for a vacation destination 1000 miles away driving 50 miles per hour. An hour later Alice leaves from the same point for the same destination, traveling 40 miles per hour. How much earlier does Abel reach the destination in minutes?? How many hours does it take Abel to get to the destination? ** If Abel needs to travel 1000 miles going 50 miles per hour, this means it will take him 1000/50=<<1000/50=20>>20 hours to get there. How many hours does it take Alice to get to the destination? ** If Alice needs to travel 1000 miles going 40 miles per hour, this means it will take her 1000/40=<<1000/40=25>>25 hours to get there. How many minutes does it take Abel to arrive? ** Since there are 60 minutes in an hour, this means it will take Abel 20*60= <<20*60=1200>>1200 minutes to arrive. How many minutes does it take Alice to arrive? ** Similarly, this means it will take Alice 25*60= <<25*60=1500>>1500 minutes to arrive. How many minutes before Alice does Abel arrive? ** This means Abel arrives 1500-1200= <<1500-1200=300>>300 minutes before Alice if they both leave simultaneously. How many minutes ahead of Alice does Abel arrive? ** However, since Abel had a head start of 1 hour, which is 60 minutes, this means Abel arrives 300 + 60 = <<300+60=360>>360 minutes ahead of Alice #### 360 A chocolate bar weighs 125 g. A shopkeeper has just received a 2 kilogram box of chocolate. How many bars does this represent? How many grams are in the box? ** We have 2 kg = 2 * 1000 = <<2*1000=2000>>2000 g How many bars are in the box? ** So, the number of bars of chocolate is 2000 / 125 = <<2000/125=16>>16 #### 16 Tom decides to lease a car. He drives 50 miles on Monday, Wednesday, and Friday, and Sunday for the rest of the days he drives 100 miles. He has to pay $.1 per mile he drives. He also has to pay a weekly fee of $100. How much does he have to pay in a year. How many days does Tom drive 100 miles? ** He does the long drive 7-4=<<7-4=3>>3 days a week How many miles does Tom drive in a week? ** So he drives a total of 4*50+3*100=<<4*50+3*100=500>>500 miles a week How much does Tom pay in a week? ** That means the car cost 500*.1=$<<500*.1=50>>50 just for the mileage per week How much does Tom pay in a week? ** So he pays 100+50=$<<100+50=150>>150 per week for the car How much does Tom pay in a year? ** That means the total cost of the car is 150*52=$<<150*52=7800>>7800 a year #### 7800 Phyllis has two gardens. In the first garden, she has 20 plants and 10% are tomato plants. In the second garden, she has 15 plants and 1/3 of these plants are tomato plants. What percentage of all the plants in her two gardens are tomato plants? How many tomato plants are in the first garden? ** The first garden has 2 tomato plants because 20 x .1 = <<20*.1=2>>2 How many tomato plants are in the second garden? ** The second garden has 5 tomato plants because 15 x (1/3) = <<15*(1/3)=5>>5 How many tomato plants are in her two gardens? ** She has 7 tomato plants in total because 2 + 5 = <<2+5=7>>7 How many plants are in her two gardens? ** She has 35 plants in total because 20 + 15 = <<20+15=35>>35 What percentage of all the plants in her two gardens are tomato plants? ** The proportion of tomato plants is .2 because 7 / 35 = <<7/35=.2>>.2 What percentage of all the plants in her two gardens are tomato plants? ** The percentage of tomato plants is 20 because .2 x 100 = <<.2*100=20>>20 #### 20 In a 5-day Fishing competition, Jackson was able to reel a total of 6 fishes per day, Jonah was able to reel 4 fishes per day and George was able to reel 8 fishes per day. How many fishes were they able to catch throughout the competition if they are on the same team? How many fishes does Jackson get after the competition? ** Jackson gets a total of 6x5= <<6*5=30>>30 fishes after the competition. How many fishes does Jonah get after the competition? ** Jonah gets 4x5= <<4*5=20>>20 fishes after the competition. How many fishes does George get after the competition? ** And George was able to get 8x5=<<8*5=40>>40 fishes after the competition. How many fishes were they able to catch throughout the competition if they are on the same team? ** Therefore the total fishes they were able to get for their team is 30+20+40= <<30+20+40=90>>90. #### 90