The tallest of 3 trees is 108 feet. The middle sized tree is 6 feet less than half the height of the tallest tree. The smallest tree is 1/4 the height of the middle tree. How tall is the smallest tree?

Tallest Tree:

<<108=108>>108 feet Middle sized tree:(108/2)-6=<<108/2-6=48>>48 feet Smallest tree:48/4=<<48/4=12>>12 feet #### 12 The pirates plan to explore 4 islands. Two islands require walking 20 miles per day while the other two islands require 25 miles per day. How many miles will they have to walk if it takes 1.5 days to explore each island? It will take 1.5 days x 2 = <<1.5*2=3>>3 days to explore 2 islands. So, the pirates will walk 20 miles x 3 days = <<20*3=60>>60 miles to explore two islands. The other 2 islands will be explored by walking 25 miles x 3 days = <<25*3=75>>75 miles. Thus, the pirates will need to walk 60 + 75 = <<60+75=135>>135 miles to explore the 4 islands. #### 135 Marcel goes to the store with Dale to buy groceries for cooking dinner. Marcel buys 10 ears of corn, and Dale buys half that amount. Dale buys 8 potatoes and Marcel buys some, too. If they check out together and end up buying 27 vegetables, how many potatoes did Marcel buy? Marcel bought 10 ears of corn and Dale bought 1/2 what Marcel did, 10 x 1/2 = 10/2 = <<10*1/2=5>>5 ears of corn that Dale bought. Together, Marcel and Dale bought 10 + 5 = <<10+5=15>>15 ears of corn, or 15 vegetables. They end up buying 27 vegetables total, and from those 27, 15 of them were corn. The rest of the vegetables are potatoes, 27 vegetables - 15 ears of corn = <<27-15=12>>12 potatoes. Dale bought 8 potatoes, so Marcel bought 12 - 8 = <<12-8=4>>4 potatoes. #### 4 A park warden has issued 24 citations over the past three hours. He issued the same number for littering as he did for off-leash dogs, and he issued double the number of other citations for parking fines. How many littering citations did the warden issue? Let L be the number of littering citations the warden issued. He issued 2L citations for littering and off-leash dogs, and 2 * 2L = <<2*2=4>>4L citations for parking fines. In all, he issued 2L + 4L = 6L = 24 citations. Thus, he issued L = 24 / 6 = <<24/6=4>>4 citations for littering. #### 4 Tree Elementary School is raising money for a new playground. Mrs. Johnson’s class raised $2300, which is twice the amount that Mrs. Sutton’s class raised. Mrs. Sutton’s class raised 8 times less than Miss Rollin’s class. Miss Rollin’s class raised a third of the total amount raised by the school. How much money did the school raise for the playground if 2% will be deducted for administration fees? Find the amount Mrs. Sutton’s class raised by dividing $2300 by 2. $2300/2 = $<<2300/2=1150>>1150 Find the amount Miss Rollin’s class raised by multiplying $1150 by 8. $1150 x 8 = $<<1150*8=9200>>9200 Multiply $9200 by 3 to find the total amount raised. $9200 x 3 = $<<9200*3=27600>>27600 Convert 2% to decimal. 2/100 = <<2/100=0.02>>0.02 Multiply $27600 by 0.02 to find the administration fees. $27600 x 0.02 = $<<27600*0.02=552>>552 Subtract the administration fee from the total amount raised. $27600 - $552 = $<<27600-552=27048>>27048 #### 27048 Mr. Angstadt has 120 students throughout the school day. Half of them are enrolled in Statistics. Of the students in Statistics, 90 percent are seniors. How many of Mr. Angstadt's students are seniors enrolled in Statistics? Statistics: 120/2=<<120/2=60>>60 Seniors in Stats:60(.90)=54 #### 54 Annie walked 5 blocks from her house to the bus stop. She rode the bus 7 blocks to the coffee shop. Later, she came home the same way. How many blocks did Annie travel in all? Annie traveled 5 + 7 = <<5+7=12>>12 blocks to the coffee shop. Her round trip would take 12 x 2 = <<12*2=24>>24 blocks. #### 24 There were 8000 jelly beans in a certain barrel, and 10 people lined up to take some. The first six people each took twice as many jelly beans as each of the last four people took. If the last four people each took 400 jelly beans, how many jelly beans remained in the container? If the last four people each took 400 jelly beans, they took a total of 4*400 = <<4*400=1600>>1600 jelly beans. The first six people each took twice as many jelly beans as each of the last four people took, meaning each of them took 2*400 = <<2*400=800>>800 jelly beans. The total number of jelly beans the first six people took is 800*6 = <<800*6=4800>>4800 jelly beans. Together, all 10 people took together 4800+1600 = <<4800+1600=6400>>6400 jelly beans. If there were 8000 jelly beans in a certain barrel, the number of jelly beans that remained is 8000-6400= <<8000-6400=1600>>1600 #### 1600 Mary wants 144 cupcakes for her party. Mary has already made 36 cherry cupcakes, and 48 berry cupcakes. Mary wants to make an even number of chocolate and vanilla cupcakes for the rest. How much of each should she make? Mary currently has 36 cherry + 48 berry cupcakes = <<36+48=84>>84 cupcakes. Mary needs an additional 144 cupcakes – 84 = <<144-84=60>>60 cupcakes. Mary wants to split that number evenly between chocolate and vanilla, so 60 / 2 = <<60/2=30>>30 cupcakes of each flavor. #### 30 Some friends wanted to make a road trip from New York to Los Angeles. They drove at a constant speed of 62 miles/hour, taking breaks of 30 minutes every 5 hours. Once in the city, they looked for the hotel for 30 minutes. If the trip took around 2,790 miles, how many hours will they have to spend to complete the trip to the hotel? At a constant speed of 62 miles/hour, they will drive 2,790 miles / 62 miles/hour = <<2790/62=45>>45 hours in total. Every 5 hours they take a break, they will take 45 hours / 5 hours/break = <<45/5=9>>9 breaks. Those breaks will be 9 breaks x 30 minutes/break = <<9*30=270>>270 minutes in total. In hours, the breaks will be in total 270 minutes ÷ 60 minutes/hour = <<270/60=4.5>>4.5 hours To find the hotel it took them 30 minutes ÷ 60 minutes/hour = <<30/60=0.5>>0.5 hours In total, it will take 45 hours + 4.5 hours + 0.5 hours = <<45+4.5+0.5=50>>50 hours to complete the trip. #### 50