There are 320 ducks in a pond. On the first night 1/4 of them get eaten by a fox. On the second night 1/6 of the remaining ducks fly away, and on the third night 30 percent are stolen. How many ducks remain after the three nights?

First night:320(1/4)=80

320-80=

<<320-80=240>>240 Second night:240(1/6)=40 240-40=<<240-40=200>>200 Third night:200(.30)=60 200-60=<<200-60=140>>140 ducks remain #### 140 Yanni has 5 paintings that combined, take up 200 square feet. 3 of the paintings are 5 feet by 5 feet. 1 painting is 10 feet by 8 feet. If the final painting is 5 feet tall, how wide is it? Each 5 by 5 painting is 25 square feet because 5 x 5 = <<5*5=25>>25 All three of them take up 75 square feet because 3 x 25 = <<3*25=75>>75 The 10 by 8 painting takes up 80 square feet because 10 x 8 = <<10*8=80>>80 These four paintings take up 155 square feet because 80 + 75 = <<80+75=155>>155 The final painting is 45 square feet because 200-155 = <<200-155=45>>45 If it is 5 feet wide it is 9 feet tall because 45 / 5 = 9 #### 9 Mark is 7 years older than Amy, who is 15. How old will Mark be in 5 years? Mark is 15 years + 7 years = <<15+7=22>>22 years old. In 5 years, he will be 22 years + 5 years = <<22+5=27>>27 years old. #### 27 The area of a forest is three times the area of the square-shaped street. If the street has a length of 100 meters on one side and the number of trees per square meter in the forest is 4, calculate the total number of trees in the forest. Since the area of a square is sides squared, the area of the square-shaped street is 100*100 = <<100*100=10000>>10000 square meters. The area of the forest is three times the area of the square-shaped street, a total of 3*10000 = <<3*10000=30000>>30000 square meters. If the number of trees per square meter in the forest is 4, there are 4*30000 = <<4*30000=120000>>120000 trees in the forest. #### 120000 At Rainbow Preschool, there are 80 students. 25% of them are half-day students and get picked up at noon, while the rest are full-day students. How many are full-day students? Number of half day preschoolers is 80 x 25% = <<80*25*.01=20>>20 students. Number of full day preschoolers is 80 - 20 = <<80-20=60>>60 students. #### 60 Last week, Mr. Sanchez bought 6 feet of rope for their class activity. He found that he lacks rope for the activity so this week, he bought 4 feet less than last week. Since there are 12 inches in a foot, how many inches of ribbon did Mr. Sanchez buy in all? Mr. Sanchez bought 6 - 4 = <<6-4=2>>2 feet of rope. He bought a total of 6 + 2 = <<6+2=8>>8 feet of rope. In inches, this is equal to 8 x 12 = <<8*12=96>>96. #### 96 Gentry assembled a new 24 foot round pool in her backyard. To fill the pool with water, she used four hoses. Two of the hoses each deliver water at a rate of 2 gallons per minute. The other two hoses each deliver water at a rate of 3 gallons per minute. With a volume of 15,000 gallons, how many hours will it take to fill the pool? Each of the two hoses delivers water at a rate of 2 gallons per minute, for a combined total of 2*2=<<2*2=4>>4 gallons of water per minute. The other two hoses each deliver water at a rate of 3 gallons per minute, for a combined total of 2*3=<<2*3=6>>6 gallons of water per minute. Thus, all four hoses deliver a combined total of 4+6=<<4+6=10>>10 gallons of water per minute. With a volume of 15,000 gallons, it would take 15,000/10=<<15000/10=1500>>1500 minutes to fill the pool. Converting to hours, it will take 1500/60=<<1500/60=25>>25 hours to fill the pool. #### 25 Alina and her best friend Lucia like to chat a lot. On a particular day, Alina sent 20 fewer messages than her friend Lucia, who sent 120 messages. The next day, Lucia sent 1/3 of the messages she sent the previous day, while Alina doubled the messages she sent on the first day. If they sent the same number of messages on the third day as the first day, what is the total number of messages they sent in those three days? On the first day, Alina sent 120 - 20 = <<120-20=100>>100 messages. The total number for the first day is 100+120 = <<100+120=220>>220 messages. On the second day, Lucia sent 1/3 *120 = <<1/3*120=40>>40 messages. Alina sent 100*2 = <<100*2=200>>200 messages on the second day. The total for the second day is 40+200 = <<40+200=240>>240 messages. For the three days, they sent 220+220+240 = <<220+220+240=680>>680 messages. #### 680 Jessie won 3 times as many athletic awards as his buddy Scott, who won 4 awards. The best athlete at the rival high school won twice as many awards as Jessie. How many awards did the rival win? Jessie won 3 times the amount of the 4 awards that Scott won so he won 3*4 = <<3*4=12>>12 awards The rival athlete won twice the awards as Jessie, who won 12 so he won 2*12 = <<2*12=24>>24 awards #### 24 Armand is playing a guessing game with his dad where he has to guess a number his dad is thinking of. His dad tells him that the number, when multiplied by 3, is three less than twice 51. What is the number? 102 is twice 51 because 2 x 51 = <<2*51=102>>102 Three less than 102 is 99 because 102 -3 = <<102-3=99>>99 The number is 33 because 99 / 3 = <<99/3=33>>33 #### 33