There are 4 alligators living on a golf course in Florida. If the number of alligators doubles every six months, how many alligators will there be at the end of a year?

First figure out how many times the alligator population doubles in one year by dividing the number of months in a year by the number of months it takes the population to double: 12 months / 6 months =

<<12/6=2>>2. The alligator population doubles twice. Now double the alligator population once: 4 alligators * 2 = <<4*2=8>>8 alligators Now double it again: 8 alligators * 2 = <<8*2=16>>16 alligators #### 16 Daisy is climbing trees all around her neighborhood and starts to notice the number of branches and the height. The first tree she climbs is 50 feet tall and has 200 branches. The second tree she climbs is 40 feet tall and has 180 branches. The third tree she climbs is 60 feet tall and has 180 branches. The final tree she climbs is 34 feet tall and has 153 branches. On average, how many branches do these trees have per foot? The first tree has 4 branches per foot because 200 / 50 = <<200/50=4>>4 The second tree tree has 4.5 branches per foot because 180 / 40 = <<180/40=4.5>>4.5 The third tree has 3 branches per foot because 180 / 60 = <<180/60=3>>3 The fourth tree has 4.5 branches per foot because 153 / 34 = <<153/34=4.5>>4.5 The total branches per foot is 16 because 4 + 4.5 + 3 + 4.5 = <<4+4.5+3+4.5=16>>16 The average branches per foot is 4 because 16 / 4 = <<16/4=4>>4 #### 4 A car manufacturing company that produces 100 cars per month wants to increase its production to reach 1800 cars per year. How many cars should the company add to the monthly production rate to reach that target? Let Y be the number of cars needed to be added to the current monthly production. Then ((100 + Y) * 12) = 1800. So 1200 + 12 * Y = 1800. 12 * Y = 1800 - 1200 = 600 Y = 600 / 12 = <<600/12=50>>50 #### 50 Reginald is selling apples. He sells each apple for $1.25. He plans to use his profits to help repair his bike. His bike cost $80 and the repairs cost 25% of what his bike cost. After the repairs are paid for, 1/5 of the money he'd earned remains. How many apples did he sell? The bike repairs cost $20 because 80 x .25 = <<80*.25=20>>20 Call the amount he earns e. We know that e - 20 = 1/5e Therefore 5e - 100 = e Therefore, 4e = 100 Therefore, e = <<25=25>>25 Therefore, he sold 20 apples because 25 / 1.25 = <<25/1.25=20>>20 #### 20 Luisa drives 10 miles to the grocery store, 6 miles to the mall, 5 miles to the pet store, then 9 miles back home. One gallon of gas can be used to drive 15 miles. If one gallon of gas costs $3.50, what is the total cost of the gas for Luisa’s entire trip? Luisa drives a total of 10 + 6 + 5 + 9 = <<10+6+5+9=30>>30 miles Luisa uses 30 / 15 = <<30/15=2>>2 gallons of gas for her trip The total cost of the gas for Luisa’s trip is 2 * $3.50 = $<<2*3.5=7>>7 #### 7 Jenny is working on a school project. She spends 10 hours doing research for the project and 2 hours writing a proposal. If she has 20 hours total to work on the project, how many hours does she have left to write her report? So far, Jenny has spent 10+2=<<10+2=12>>12 hours on the project. Thus, she has 20-12=<<20-12=8>>8 hours to write her report. #### 8 Fred had 212 sheets of paper. He received another 307 sheets of paper from Jane and gave Charles 156 sheets of paper. How many sheets of paper does Fred have left? He had 212 sheets and received 307 more for a total of 212+307 = <<212+307=519>>519 sheets He gave out 156 so he has 519-156 = <<519-156=363>>363 sheets #### 363 Cindy can run at 3 miles per hour and walk at 1 mile per hour. If she runs for half a mile and then walks for half a mile, how many minutes will it take her to travel the full mile? It will take her 0.5 miles / 3 mph * (60 minutes / 1 hour) = <<0.5/3*60=10>>10 minutes to run half a mile. It will take her 0.5 miles / 1 mph * (60 minutes / 1 hour) = <<0.5/1*60=30>>30 minutes to walk half a mile. Her total time is 10 + 30 = <<10+30=40>>40 minutes. #### 40 If it takes 20 minutes to paint a house, how many houses can you paint in 3 hours? There are 3 hours * 60 minutes/hour =<<3*60=180>>180 minutes in 3 hours You can paint 180 minutes / 20 houses/minute = 9 houses in 3 hours. #### 9 Matthew, Patrick and Alvin are eating dinner together. Matthew eats three times as many egg rolls as Patrick eats. Patrick eats half as many egg rolls as Alvin eats. If Alvin ate 4 egg rolls, how many did Matthew eat? Patrick eats 1/2 of the 4 egg rolls that Alvin eats, 1/2 x 4 = <<1/2*4=2>>2 egg rolls. Matthew eats 3x as many egg rolls as Patrick eats, 3 x 2 = <<3*2=6>>6 egg rolls that Matthew eats. #### 6