Sam invested $10,000 and earned 20% interest compounded for 3 years. He then invested more until he had three times as much invested. The next year, he got a 15% return on his investment. How much money does he have now?

After one year, Sam had $10,000 * 1.2 = $

<<10000*1.2=12000>>12,000. After two years, he had $12,000 * 1.2 = $<<12000*1.2=14400>>14,400. After the third year, he had $14,400 * 1.2 = $<<14400*1.2=17280>>17,280. He then invested more money until he had 3 * $17,280 = $<<3*17280=51840>>51,840. The first year after that, he had $51,840 * 1.15 = $<<51840*1.15=59616>>59,616. #### 59,616 Avery opens a flower shop. She ties 8 bunches of flowers with 9 flowers in each bunch. How many bunches would she have if she put 12 flowers in each bunch instead? She has a total of 8 * 9 = <<8*9=72>>72 flowers. Dividing them in bunches of 12 will give her 72 / 12 = <<72/12=6>>6 bunches of flowers. #### 6 Janet has a business selling custom collars for dogs and cats. If it takes 18 inches of nylon to make a dog collar and 10 inches to make a cat collar, how much nylon does she need to make 9 dog collars and 3 cat collars? First find the total number of inches of nylon used for the dog collars: 18 inches/dog collar * 9 dog collars = 162 inches Then find the total number of inches of nylon used for the cat collars: 10 inches/cat collar * 3 cat collars = 30 inches Then add the nylon needed for the cat and dog collars to find the total amount needed: 162 inches + 30 inches = <<162+30=192>>192 inches #### 192 Ken can do 20 sit-ups without stopping. Nathan can do twice as many, and Bob can do half the number of Ken and Nathan's combined sit-ups. How many more sit-ups can Bob do compared to Ken? Nathan can do 20 x 2 = <<20*2=40>>40 sit ups. Ken and Nathan's combined number is 20 + 40 = <<20+40=60>>60 sit-ups. Bob can do 60/2 = <<60/2=30>>30 sit-ups. Bob can do 30 - 20 = <<30-20=10>>10 more sit-ups than Ken. #### 10 Ben will receive a bonus of $1496. He chooses to allocate this amount as follows: 1/22 for the kitchen, 1/4 for holidays and 1/8 for Christmas gifts for his 3 children. How much money will he still have left after these expenses? Ben's spending for the kitchen is $1496 x 1/22 = $<<1496*1/22=68>>68. Ben's spending for holidays is $1496 x 1/4 = $<<1496*1/4=374>>374. Ben's spending for children's gifts is $1496 x 1/8 = $<<1496*1/8=187>>187. The total amount spent is $68 + $374 + $187 = $<<68+374+187=629>>629. So, Ben still has $1496 - $629 = $<<1496-629=867>>867 left. #### 867 Nina wants to give presents to her children. She buys three toys at $10 each, two packs of basketball cards at $5 each, and five shirts at $6 each. How much does she spend in all? Three toys cost 3 x $10 = $<<3*10=30>>30. Two packs of basketball cards cost 2 x $5 = $<<2*5=10>>10. And, five shirts cost 5 x $6 = $<<5*6=30>>30. Therefore, Nina spends a total of $30 + $10 + $30 = $<<30+10+30=70>>70 in all. #### 70 A woman is trying to decide whether it will be quicker to take an airplane or drive herself to a job interview. If she drives herself, the trip will take her 3 hours and 15 minutes. If she takes an airplane, she will first need to drive 10 minutes to the airport, and then wait 20 minutes to board the plane. After that, she will be on the airplane for one-third of the time it would have taken her to drive herself before landing in the destination city. Finally, it will take her an additional 10 minutes to get off the airplane and arrive at her interview site after the plane lands. Given this information, how many minutes faster is it for her to take the airplane? First, we must convert the driving time of 3 hours and 15 minutes to minutes. Since there are 60 minutes in an hour, driving takes a total of 3*60 + 15 = <<3*60+15=195>>195 minutes. Next, the woman will be on the airplane for one-third of 195 minutes, or 195/3 = <<195/3=65>>65 minutes. Therefore, in total, the airplane trip will take the woman 10 + 20 + 65 + 10 = <<10+20+65+10=105>>105 minutes. Thus, the airplane trip is 195 - 105 = <<195-105=90>>90 minutes faster than driving herself to the interview. #### 90 John buys bags of popcorn for $4 and sells them for $8. How much profit does he get by selling 30 bags? Each bag makes a profit of 8-4=$<<8-4=4>>4 So he makes a total profit of 30*4=$<<30*4=120>>120 #### 120 Bill is trying to control the pests in his garden. Each spider he introduces eats 7 bugs, and each time he sprays the garden he reduces the total bug population to 80% of what it was previously. If the garden has 400 bugs to start, and Bill sprays once and introduces 12 spiders, how many bugs are left? First find the total bug population after spraying: 80% * 400 bugs = <<80*.01*400=320>>320 bugs Then find the total number of bugs each spider eats: 12 spiders * 7 bugs/spider = <<12*7=84>>84 bugs Then subtract that number from the number of bugs left after spraying to find final number of bugs: 320 bugs - 84 bugs = <<320-84=236>>236 bugs #### 236 Melanie does her weekly shopping at the farmer's market. She starts with an 8-ounce wheel of brie cheese. Next is a 1 pound loaf of bread. She grabs a pound of tomatoes and 2 pounds of zucchini. After that, she grabs 1 1/2 pounds of chicken breasts and treats herself to 8 ounces of fresh raspberries and 8 ounces of fresh blueberries. How many pounds of food does she buy? She bought 8ounces of cheese, 8-ounce raspberries, 8 ounces of blueberries for a total of 8*3 = <<8*3=24>>24 ounces 16 ounces are in 1 pound and she has 24 ounces of food so she has 24/16 = <<24/16=1.5>>1.5 pounds of food Those items are 1.5 pounds and she bought 1 pound of bread, 1 pound of tomatoes, 2 pounds of zucchini and 1.5 pounds of chicken for a total of 1.5+1+1+2+1.5 = <<1.5+1+1+2+1.5=7>>7 pounds of food #### 7