Rayden bought three times as many ducks as Lily from the market. He also bought four times as many geese as Lily. If Lily bought 20 ducks and 10 geese, how many more ducks and geese do Rayden have more than Lily altogether?
If Rayden bought three times as many ducks as Lily, then he has 3*20 =
<<3*20=60>>60 ducks He has 60-20 = <<60-20=40>>40 more ducks than Lily has. Rayden also bought 4*10 = <<4*10=40>>40 geese, four times the geese that Lily bought. He has 40-10= <<40-10=30>>30 more ducks than Lily. Altogether, Rayden has 30+40 = <<30+40=70>>70 more ducks and geese than Lily. #### 70 Smaug the dragon hoards 100 gold coins, 60 silver coins, and 33 copper coins. If each silver coin is worth 8 copper coins, and each gold coin is worth 3 silver coins, what is the total value of Smaug's hoard expressed as a number of copper coins? First figure out how many silver coins the 100 gold coins are worth by multiplying the number of gold coins by the exchange rate between gold and silver: 100 gold * 3 silver/gold = <<100*3=300>>300 silver Then add the value of the gold in silver to the number of silver coins to find the total value of the gold and silver expressed in silver coins: 300 silver + 60 silver = <<300+60=360>>360 silver Now multiply that value by the exchange rate between silver and copper to express its value in terms of copper coins: 360 silver * 8 copper/silver = <<360*8=2880>>2880 copper Then add the value of the gold and silver expressed in copper coins (the value from the last step) to the number of copper coins to find the total value of the hoard: 2880 + 33 = <<2880+33=2913>>2913 #### 2913 A train travels 360 miles in 3 hours. At the same rate, how many additional hours would it take to travel an additional 240 miles? The rate is 360/3=<<360/3=120>>120 mph. Then it would take 240/120=<<240/120=2>>2 additional hours. #### 2 Rollo has 3 guinea pigs, the first guinea pig eats 2 cups of food, the second guinea pig eats twice as much as the first one, and the third guinea pig eats 3 cups more than the second one. How many cups of food does Rollo need to feed all his Guinea pigs? The second guinea pig eats 2 x 2 = <<2*2=4>>4 cups of food. The third guinea pig eats 4 + 3 = <<4+3=7>>7 cups of food. Therefore, Rollo needs a total of 2 + 4 + 7 = <<2+4+7=13>>13 cups of food for the guinea pig. #### 13 Tye goes to two different banks and withdraws $300 from each bank. If he got it all in 20 dollar bills how many bills did he get? He got 300*2=$<<300*2=600>>600 So he got 600/20=<<600/20=30>>30 bills #### 30 Gwendolyn can read 200 sentences of a book in 1 hour. She just brought a book from the library, having 20 paragraphs per page. What's the total time Gwendolyn will take to read the book if each paragraph has 10 sentences and the book has 50 pages? Gwendolyn just brought a book from the library, having 20 paragraphs per page, and since the book has 50 pages, the number of paragraphs in the book is 50*20=<<50*20=1000>>1000 paragraphs. If each paragraph has 10 sentences, the book's number of sentences is 1000*10=<<1000*10=10000>>10000 sentences. Since Gwendolyn can read 200 sentences of a book in 1 hour, she will read 10000 sentences in 10000/200=<<10000/200=50>>50 hours. #### 50 The movie theater sold 18 more than three times the number of tickets to the horror movie as it did to the romance movie. If the theater sold 25 tickets to the romance movie, how many tickets did it sell to the horror movie? Three times the number of tickets to the romance movie is 25*3=<<25*3=75>>75 tickets The horror movie sold 75+18=<<75+18=93>>93 tickets #### 93 Malcolm works in a company where they normally pack 40 apples in a box, producing 50 full boxes per day. Operations went as normal in one week. But in the next week, they packed 500 fewer apples per day. What's the total number of apples packed in the two weeks? In the first week, each day they pack 40*50 = <<40*50=2000>>2000 apples The total number of apples packed in the boxes is 2000*7 = <<2000*7=14000>>14000 apples in the first week. When 500 fewer apples were packed each day in the next week, the total became 2000-500 = <<2000-500=1500>>1500 apples per day. The total number of apples packed in the boxes that week is 1500*7 = <<1500*7=10500>>10500 apples. The total is 14000+10500 = <<14000+10500=24500>>24500 apples for the two weeks #### 24500 Isabel has $204 in her piggy bank. She spent half the amount and bought a toy. She then spent half of the remaining money and bought her brother a book. How much money, in dollars, was left over? After buying the toy, Isabel has 204/2=<<204/2=102>>102 dollars left. Isabel has 102/2=<<102/2=51>>51 dollars left. #### 51 An amusement park sells tickets for $3. This week it welcomed 100 people per day but on Saturday it was visited by 200 people and on Sunday by 300. How much money did it make overall in a week? During the weekdays it was visited by 100 * 5= <<100*5=500>>500 people On Sunday and Saturday, it was visited by 200 + 300 = <<200+300=500>>500 people In total 500 + 500 = <<500+500=1000>>1000 people visited the park in a week So it earned 1000 * 3 = <<1000*3=3000>>3000 dollars in a week #### 3000