Hannah comes home from work to find her older son taped her younger son to a chair with 22 strands of duct tape. If Hannah can cut 8 strands per minute and her son can cut 3 strands per minute, how long will it take them to free her younger son?

First find the total number of strands the two of them can cut per minute: 8 strands + 3 strands =

<<8+3=11>>11 strands Then divide the total number of strands by the number of strands they cut per minute to find the number of minutes it takes to cut all the strands: 22 strands / 11 strands/minute = <<22/11=2>>2 minutes #### 2 Natalie's father has saved up $10,000 to split up between his kids. Natalie will get half, as she is the oldest. Rick will get 60 percent of the remaining money, and Lucy will get whatever is left after Natilie and Rick get paid. How much money does Lucy get? Natalie: 10000/2=<<10000/2=5000>>5000$ 10000-5000=<<10000-5000=5000>>5000 Rick:5000(.60)=3000$ 5000-3000=<<5000-3000=2000>>2000$ left for Lucy. #### 2000 Micah can type 20 words per minute and Isaiah can type 40 words per minute. How many more words can Isaiah type than Micah in an hour? There are 60 minutes in an hour. Micah can type 20 x 60 = <<20*60=1200>>1200 words in an hour. Isaiah can type 40 x 60 = <<2400=2400>>2400 words in an hour. Isaiah can type 2400 - 1200 = <<2400-1200=1200>>1200 words more than Micah in an hour. #### 1200 Jose bought 20,000 square meters of land and needs to divide it equally with his four siblings. How much land, in the square meters, will Jose have after dividing it with his siblings? The land will be divided into 1 (Jose) + 4 siblings = <<1+4=5>>5 pieces. So, Jose will have 20,000/5 = <<20000/5=4000>>4000 square meters of land. #### 4000 Darla has 6 books in her locker. Katie has half as many books as Darla, and Gary has 5 times the number of books that Darla and Katie have combined. How many books do the three have total? Darla:6 books Katie:6/2=<<6/2=3>>3 books Gary: 5(6+3)=45 books 6+3+45=<<6+3+45=54>>54 books #### 54 A farmer owns a hog that recently gave birth to 6 piglets. If the farmer raises the piglets until they are fully grown, he can sell the fully grown pig for $300. Each piglet must grow for at least 12 months before it is large enough to be sold. It costs the farmer $10 per month to feed each animal until it is sold. If the farmer sells 3 pigs after 12 months, and the remaining 3 pigs after 16 months, how much profit did he earn in total (after deducting the cost of food)? The 3 pigs that are sold after 12 months will cost the farmer 12*10*3 = $<<12*10*3=360>>360 in food costs. The 3 pigs that are sold after 16 months will cost the farmer 16*10*3 = $<<16*10*3=480>>480 in food costs. Thus, the total food cost to raise the 6 piglets was 360 + 480 = $<<360+480=840>>840. Next, selling the 6 fully grown pigs will earn the farmer 6*300 = $<<6*300=1800>>1800 in revenue. Therefore, the earn the farmer 1800 - 840 = $<<1800-840=960>>960 in profit from these sales. #### 960 Bronson decides to collect Oak Leaves from around his Neighborhood. He collects 12 on Thursday and 13 on Friday. 20% are Brown and 20% are Green. The rest are yellow. How many yellow leaves does he collect? He collects 25 leaves because 12 + 13 = <<12+13=25>>25 60% of them are yellow because 100 - 20 - 20 = <<100-20-20=60>>60 He collects 15 yellow leaves because 25 x .6 = <<25*.6=15>>15 #### 15 A teacher asked Adelaide, Ephraim, and Kolton to buy ducks and monitor their growth patterns and features for their science class. Adelaide bought twice the number of ducks that Ephraim bought, while Ephraim bought 45 fewer ducks than Kolton. If Adelaide bought 30 ducks, what's the average number of ducks the three bought? If Adelaide bought 30 ducks, Ephraim bought 30 ducks / 2 = <<30/2=15>>15 ducks. Since Ephraim bought 45 fewer ducks than Kolton, Kolton bought 45 ducks + 15 ducks = <<45+15=60>>60 ducks The total number of ducks the three bought is 60 ducks + 15 ducks + 30 ducks = <<60+15+30=105>>105 ducks The average number of ducks each bought is 105 ducks / 3 people = <<105/3=35>>35 ducks/person #### 35 Brenda weighs 10 pounds more than 3 times Mel's weight. If Brenda weighs 220 pounds, what is Mel's weight? Let Mel's weight be m Brenda’s weight is 3*m + 10 = 220 pounds Thus 3m = 220 - 10 = 210 pounds Therefore Mel's weight is m = 210/3 = <<210/3=70>>70 pounds #### 70 Lola’s rabbits keep having kittens each spring. During the first spring, her 10 breeding rabbits had 10 times as many kittens as the number of breeding rabbits Lola has, and half of the kittens got adopted. 5 of them had to be returned to Lola due to re-homing problems. During the next spring, her 10 breeding rabbits only had a total of 60 kittens, with 4 of the kittens being adopted. Including the breeding rabbits, how many rabbits does Lola have in her house? Lola’s breeding rabbits made 10*10=<<10*10=100>>100 offspring. 100/2=<<100/2=50>>50 got adopted. 5 offspring came back which made Lola have 50+5=<<50+5=55>>55 of them. In the next spring, 60-4=<<60-4=56>>56 new offspring stayed with Lola. In total, there are 55+56=<<55+56=111>>111 offspring. Including the breeding rabbits, there are 111+10=<<111+10=121>>121 rabbits in total. #### 121