There are three trees in the town square. The tallest tree is 150 feet tall. The middle height tree is 2/3 the height of the tallest tree. The shortest tree is half the size of the middle tree. How tall is the shortest tree?
Tallest Tree:
<<150=150>>150 feet Middle Tree:150(2/3)=300/3=100 feet Shortest Tree:100/2=<<100/2=50>>50 feet #### 50 Andy had a platter of chocolate cookies. He ate 3 of them then gave his little brother 5 because he was behaving. He then handed the platter to his basketball team of eight members. The first player to arrive took 1, the second player to arrive took 3, the third player took 5, and so on. When the last player took his share, the platter was empty. How many chocolate cookies did Andy have from start with? Andy and his brother ate 5 + 3 = <<5+3=8>>8 cookies in total. The nth term of the sequence for the basketball players taking cookies in 2n-1. The number of players is 8 so they would have eaten 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64 cookies. In total Andy had 64 + 8 = <<64+8=72>>72 cookies to start with before they were all eaten. #### 72 Allen is 25 years younger than his mother. In 3 years, the sum of their ages will be 41. What is the present age of Allen's mother? In 3 years, the sum of their present ages will be added by 3 (from Allen) + 3 (from her mother) = <<3+3=6>>6. So, the sum of their present ages is 41 - 6 = <<41-6=35>>35. Let x be the present age of Allen's mother and x - 25 be the present age of Allen. So the equation using the sum of their present ages is x + x - 25 = 35. By combining like terms, the equation becomes 2x = 60. Hence, Allen's mother is x = 60/2 = <<60/2=30>>30 years old now. #### 30 John invests in a bank and gets 10% simple interest. He invests $1000. How much money does he have after 3 years? He gets 1000*.1=$<<1000*.1=100>>100 a year So after 3 years, he gets 100*3=$<<100*3=300>>300 So he has 300+1000=$<<300+1000=1300>>1300 #### 1300 Roger's age is 5 more than twice Jill's age. In 15 years, their age difference will be 30 years less than Finley's age. If Jill is 20 years old now, how old is Finley? Twice Jill's age is 2*20=<<2*20=40>>40 If Roger's age is 5 more than twice Jill's age, he is 5+40=45 years old. In 15 years, Jill will be 20+15=<<20+15=35>>35 years old. Roger's age will be 45+15=<<45+15=60>>60 years old in 15 years. The age difference between Roger and Jill in fifteen years will be 60-35=<<60-35=25>>25 years In 15 years, the age difference between Roger and Jill will be 30 years less than Finley's age, meaning in fifteen years Finley will be 30+25=<<30+25=55>>55 years old. Currently, Finley is 55-15=<<55-15=40>>40 years old. #### 40 Brady gets paid 70 cents for each recipe card he transcribes. He also gets a 10 dollar bonus each time he transcribes 100 cards. If he transcribes 200 cards how much will he earn including bonuses? For 200 cards he earns .70*200=<<.70*200=140>>140 dollars Since he transcribes 200 cards his bonus is 10*2=20 dollars In total he earns 140+20=<<140+20=160>>160 dollars #### 160 A craftsman makes 16 jars. This is exactly twice the number of clay pots he made. If each jar has 5 marbles and each clay pot has three times as many, how many marbles are there? 16 jars are exactly twice the number of clay pots made by the craftsman, meaning there are 16/2=<<16/2=8>>8 clay pots If each jar has 5 marbles, the total number of marbles in the jars is 5*16=<<5*16=80>>80 Each of the clay pots also has 3*5=<<3*5=15>>15 marbles. The total number of marbles in the 8 clay pots is 15*8=<<15*8=120>>120 There are a total of 120+80=<<120+80=200>>200 marbles. #### 200 Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh? He loses 3 pounds a week for 4 weeks for a total of 3*4= <<3*4=12>>12 pounds He loses 2 pounds a week for 8 weeks for a total of 2*8 = <<2*8=16>>16 pounds All total he has lost 12+16 = <<12+16=28>>28 pounds Jordan weighed 250 pounds and has lost 28 pounds so he now weighs 250-28 = <<250-28=222>>222 pounds #### 222 Marc bought 50 episodes of the show "Friends" online. Each day Marc watches 1/10 of the episodes he bought. How many days will Marc need to finish 50 episodes of the show he bought? Marc watches 50 * 1/10 = <<50*1/10=5>>5 episodes a day. So, he will need 50 / 5 = <<50/5=10>>10 days to finish all episodes he bought. #### 10 Ariel began fencing in 2006. If she was born in 1992 and has been fencing for 16 years, how old is she now? If Ariel was born in 1992, she started fencing when she was 2006-1992 = <<14=14>>14 years old. Since she's been fencing for 16 years now, Ariel is 14+16 = <<14+16=30>>30 years old. #### 30