In a class of 300 students, the number of smoking teens is 40% of the class. In a year, 70% of the smoking students are hospitalized from smoking-related complications. Calculate the total number of smoking students from the class who have not been hospitalized from smoking-related complications.

How many students are smoking? ** If the class has 300 students, there are 40/100*300 =

<<40/100*300=120>>120 smoking students. How many students are hospitalized from smoking-related complications? ** In a year, 70% of the smoking students are hospitalized from smoking-related complications, a total of 70/100*120 = <<70/100*120=84>>84 students. How many students are not hospitalized from smoking-related complications? ** The number of smoking students who've not been hospitalized from smoking-related complications is 120-84 = <<120-84=36>>36 #### 36 Mary is making a model sailboat. She wants to add three sails: a rectangular sail that measures 5 inches by 8 inches and two right triangular sails, one that's 3 inches long at the bottom and 4 inches tall and one that's 4 inches long at the bottom and 6 inches tall. (Remember you can find the area of a triangle by dividing the area of a square with the same height and length by 2). How many square inches of canvas does she need total? How many square inches are in the square sail? ** First find the area of the square sail: 5 inches * 8 inches = <<5*8=40>>40 square inches How many square inches are in the first triangular sail? ** Then find the area of a square sail with the same height and length as the first triangular sail: 3 inches * 4 inches = <<3*4=12>>12 square inches How many square inches are in the second triangular sail? ** Then divide the area in two to find the area of the triangular sail: 12 square inches / 2 = <<12/2=6>>6 square inches How many square inches are in the second triangular sail? ** Then find the area of a square sail with the same height and length as the second triangular sail: 4 inches * 6 inches = <<4*6=24>>24 square inches How many square inches are in the second triangular sail? ** Then divide the area in two to find the area of the triangular sail: 24 square inches / 2 = <<24/2=12>>12 square inches How many square inches of canvas does she need total? ** Then add up the areas of all the sails to find the total amount of canvas needed: 12 square inches + 6 square inches + 40 square inches = <<12+6+40=58>>58 square inches #### 58 The movie theater sells matinee tickets for $5, evening tickets for $12, and 3D tickets for $20. If they sell 200 matinee tickets, 300 evening tickets and 100 3D tickets, how much money do they make in total? How much money do they make from the matinee tickets? ** First find the total revenue from the matinee tickets: $5/ticket * 200 tickets = $<<5*200=1000>>1000 How much money do they make from the evening tickets? ** Then find the total revenue from the evening tickets: $12/ticket * 300 tickets = $<<12*300=3600>>3600 How much money do they make from the 3D tickets? ** Then find the total revenue from the 3D tickets: $20/ticket * 100 tickets = $<<20*100=2000>>2000 How much money do they make in total? ** Then add the cost of each group of tickets to find the total cost: $1000 + $3600 + $2000 = $<<1000+3600+2000=6600>>6600 #### 6600 John used to buy 4 coffees a day for $2 each. They raised the price by 50% so he cut the number of coffees he drinks in half. How much money does he save per day compared to what he used to spend? How many coffees does John buy now? ** He now buys 4/2=<<4/2=2>>2 coffees How much more does John pay now? ** The new price is 2*.5=$<<2*.5=1>>1 more than the old price How much does John pay now? ** So he now pays 2+1=$<<2+1=3>>3 per coffee How much does John spend now? ** So he spends 3*2=$<<3*2=6>>6 How much did John used to spend? ** He used to spend 4*2=$<<4*2=8>>8 How much money does John save per day compared to what he used to spend? ** So he saves 8-6=$<<8-6=2>>2 per day #### 2 There are 3414 yellow balloons and there are 1762 more black balloons than yellow balloons. If the balloons will be evenly divided among 10 schools, how many balloons will one school receive? How many black balloons are there? ** Black balloons: 3414 + 1762 = <<3414+1762=5176>>5176 How many total balloons are there? ** Total balloons: 3414 + 5176 = <<3414+5176=8590>>8590 How many balloons will one school receive? ** 8590/10 = <<8590/10=859>>859 How many balloons will one school receive? ** Each school will receive 859 balloons. #### 859 Betty has 20 books, and her sister has 1/4 times more books than Betty. What's the total number of books the two have? How many books does Betty's sister have? ** Betty's sister has 1/4 * 20 books = <<1/4*20=5>>5 more books. How many books does Betty's sister have? ** The total number of books Betty's sister has is 20 books + 5 books = <<20+5=25>>25 books What's the total number of books the two have? ** The total number of books the two have is 25 books + 20 books = <<25+20=45>>45 books #### 45 Yun had 20 paperclips initially, but then lost 12. Marion has 1/4 more than what Yun currently has, plus 7. How many paperclips does Marion have? How many paperclips does Yun have? ** Yun has 20-12= <<20-12=8>>8 paperclips. How many paperclips does Yun have? ** Marion has 8/4 + 7 = <<8/4+7=9>>9 paperclips #### 9 To eat to when she gets full, Michaela needs 20 oranges. Cassandra needs twice as many oranges as Michaela to eat until she gets full. If they picked 90 oranges from the farm today, how many oranges would remain after they've both eaten until they were full? How many oranges does Cassandra need to eat? ** Since Michaela needs 20 oranges to eat to her full, and Cassandra eats twice as much to have her full, Cassandra needs 2*20 = <<20*2=40>>40 oranges to eat. How many oranges do Michaela and Cassandra eat together? ** They eat 20+40 = <<20+40=60>>60 oranges together to have their fill. How many oranges would remain after they've both eaten until they were full? ** If they picked 90 oranges today, after eating 60 together, 90-60 = <<90-60=30>>30 oranges would remain. #### 30 With 40 seconds left to play in the basketball game, the Dunkinville Hornets were leading the Fredingo Fireflies by a score of 86 to 74. In the remaining seconds in the game, the Fireflies scored 7 three-point baskets while holding the Hornets to only 2 two-point baskets to win the game. How many more points did the Fireflies score in the game than did the Hornets? How many points did the Fireflies score in the final 40 seconds? ** In the final 40 seconds, the Fireflies scored seven 3-point baskets to improve their score by 3*7=<<7*3=21>>21 points. How many points did the Fireflies score in the game? ** Thus, the Fireflies final total was 74+21=<<74+21=95>>95 points. How many points did the Hornets score in the final 40 seconds? ** In the final 40 seconds, the hornets scored an additional two 2-point baskets to improve their score by 2*2=<<2*2=4>>4 points. How many points did the Hornets score in the game? ** Thus, the Hornets final total was 86+4=<<86+4=90>>90 points. How many more points did the Fireflies score in the game than did the Hornets? ** The final difference in points between the two teams was 95-90=<<95-90=5>>5 points. #### 5 Nina loves to travel. She tries to travel at least 400 kilometers in one month outside of her home country. Every second month she does twice that distance. If she were able to keep up with her resolution, how many kilometers would she travel during 2 years? How many kilometers does Nina travel every second month? ** Every second month Nina does twice the regular distance, which means 400 * 2 = <<400*2=800>>800 kilometers. How many months are in two years? ** Two years is 24 months, so half of this time is 24 * 0.5 = <<24*0.5=12>>12 months. How many kilometers does Nina travel in 12 months? ** So in 12 months Nina does 400 * 12 = <<400*12=4800>>4800 kilometers. How many kilometers does Nina travel in the other 12 months? ** And in the other 12 months, she does 800 * 12 = <<800*12=9600>>9600 kilometers. How many kilometers would Nina travel in two years? ** So in two years, Nina would be able to make 4800 + 9600 = <<4800+9600=14400>>14400 kilometers. #### 14400