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?

After losing some socks, Caroline has 40 - 4 =

<<40-4=36>>36 pairs of socks Caroline donates 36 * (2/3) = <<36*(2/3)=24>>24 pairs of socks to the thrift store After donating some socks, Caroline has 36 - 24 = <<36-24=12>>12 pairs of socks remaining 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? The total number of new followers after a year is 365*1000 = <<365*1000=365000>>365000 followers. His total number of followers in a year is 100000+365000 = <<100000+365000=465000>>465000 followers. 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?? 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. 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. Since there are 60 minutes in an hour, this means it will take Abel 20*60= <<20*60=1200>>1200 minutes to arrive. Similarly, this means it will take Alice 25*60= <<25*60=1500>>1500 minutes to arrive. This means Abel arrives 1500-1200= <<1500-1200=300>>300 minutes before Alice if they both leave simultaneously. 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? We have 2 kg = 2 * 1000 = <<2*1000=2000>>2000 g 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 $100. How much does he have to pay in a year. He does the long drive 7-4=<<7-4=3>>3 days a week So he drives a total of 4*50+3*100=<<4*50+3*100=500>>500 miles a week That means the car cost 500*.1=$<<500*.1=50>>50 just for the mileage per week So he pays 100+50=$<<100+50=150>>150 per week for the car That means the total cost of the car is 150*52=$<<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? The first garden has 2 tomato plants because 20 x .1 = <<20*.1=2>>2 The second garden has 5 tomato plants because 15 x (1/3) = <<15*(1/3)=5>>5 She has 7 tomato plants in total because 2 + 5 = <<2+5=7>>7 She has 35 plants in total because 20 + 15 = <<20+15=35>>35 The proportion of tomato plants is .2 because 7 / 35 = <<7/35=.2>>.2 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? Jackson gets a total of 6x5= <<6*5=30>>30 fishes after the competition. Jonah gets 4x5= <<4*5=20>>20 fishes after the competition. And George was able to get 8x5=<<8*5=40>>40 fishes after the competition. Therefore the total fishes they were able to get for their team is 30+20+40= <<30+20+40=90>>90. #### 90 In a rice field, you can get a total of 20 sacks of rice every harvest. If the yield increases by twenty percent after every harvest, what is the total number of sacks of rice you can get after the first and second harvest? There were 20 x 0.20 = <<20*0.20=4>>4 sacks of rice increase after the first harvest. So the total sack of rice that you can get on the next harvest 20 + 4 = <<20+4=24>>24. Therefore the total number of sacks of rice you will get on the first and second harvest is 20 + 24 = <<20+24=44>>44. #### 44 Stefan goes to a restaurant to eat dinner with his family. They order an appetizer that costs $10 and 4 entrees that are $20 each. If they tip 20% of the total for the waiter, what is the total amount of money that they spend at the restaurant? The total cost of the entrees is 4 * $20 = $<<4*20=80>>80. The total cost of the dinner is $80 + $10 = $<<80+10=90>>90. The tip is $90 * 0.20 = $<<90*0.20=18>>18 The total cost with tip is $90 + $18 = $<<90+18=108>>108 #### 108 James replaces the coffee for the household. There are 3 other people in the house and everyone drinks 2 cups of coffee a day. It takes .5 ounces of coffee per cup of coffee. If coffee costs $1.25 an ounce, how much does he spend on coffee a week? There are 3+1=<<3+1=4>>4 people in the house So they drink 4*2=<<4*2=8>>8 cups of coffee a day That means they use 8*.5=<<8*.5=4>>4 ounces of coffee a day So they use 4*7=<<4*7=28>>28 ounces of coffee a week So he spends 28*1.25=$<<28*1.25=35>>35 #### 35