A group of hawks is called a kettle. It is breeding season for hawks. A group of ornithologists are tracking 6 kettles of hawks. Each kettle has an average of 15 pregnancies that yield 4 babies per batch. How many babies are expected this season if approximately 25% are lost?

Each kettle has 15 hawks that get pregnant and each one yields 4 babies per pregnancy so there are 15 * 4=

<<15*4=60>>60 babies expected per kettle. If 60 baby hawks are expected per kettle and the ornithologists are tracking 6 kettles total then there are 60 * 6=<<60*6=360>>360 baby hawks expected across all six kettles this breeding season. If there 25% of eggs do not hatch, then we are looking for 25 (percent that do not make it) /100 (total number of babies expected)=<<25/100=.25>>.25 (percentage converted to decimal form for the proportion of expected baby hawks to be lost). The total number of baby hawks expected equals 360 * .25 expected los s= <<360*.25=90>>90 babies not expected to hatch (lost). There are 360 total number of baby hawks expected and there are 90 babies expected to be lost so 360-90= <<360-90=270>>270 remaining baby hawks expected this breeding season #### 270 Carolyn is trimming a dress with lace around the cuffs, waist, hem, and neckline. Each cuff is 50 cm long, the hem is 300 cm long, the waist is a third of the length of the hem, and the neck will have 5 ruffles that each use 20 cm of lace. If lace costs $6/m, how much does Carolyn spend on lace? First find the length of the waist: 300 cm / 3 = <<300/3=100>>100 cm Then find the total amount of lace she uses on the cuffs: 2 cuffs * 50 cm/cuff = <<2*50=100>>100 cm Then find the total amount of lace she uses on the ruffles: 5 ruffles * 20 cm/ruffle = <<5*20=100>>100 cm Then add each amount of lace she uses to find the total: 100 cm + 100 cm + 100 cm + 300 cm = <<100+100+100+300=600>>600 cm Then convert that length to meters to by dividing by 100: 600 cm / 100 cm/m = <<600/100=6>>6 m Finally, multiply the total meters of lace needed by the cost per meter to find the total cost: 6 m * $6/m = $<<6*6=36>>36 #### 36 On a monthly basis, Esperanza pays $600 in rent, 3/5 as much money on food as she pays on rent and her mortgage bill costs three times the amount of money she spends on food. If she saves $2000 and also pays the equivalent of 2/5 of her savings in taxes, calculate her gross monthly salary. Esperanza pays 3/5* $600 = $<<3/5*600=360>>360 on food. She also spends 3*$360 = $<<3*360=1080>>1080 on mortgage bills. Her expenses in taxes amount to 2/5*$2000 = $<<2/5*2000=800>>800 Esperanza's total monthly expenses are $800 on taxes + $1080 on mortgage bills + $360 on food + $600 on rent = $<<800+1080+360+600=2840>>2840 Her gross salary is $2840 for expenses + $2000 on savings = $<<2840+2000=4840>>4840 #### 4840 It takes Bryan 5 minutes to walk from his house to the bus station. Then he rides the bus for 20 minutes. After that, he walks 5 minutes from the bus station to his job. It takes the same amount of time in the morning and the evening. How many hours per year does Bryan spend traveling to and from work, if he works every day? Bryan spends 5+20+5 =<<5+20+5=30>>30 minutes traveling to work. He does this twice a day, so he spends 30*2=<<30*2=60>>60 minutes traveling per day. Thus, he spends 60/60=<<60/60=1>>1 hour traveling to and from work every day. Thus, he spends 1 hour*365 days =<<1*365=365>>365 hours traveling per year. #### 365 Maria collects stamps and wants to enlarge her collection. She has collected 40 stamps so far and plans to have 20% more. How many stamps in total does Maria want to collect? Maria plans on having 40 * 20/100 = <<40*20/100=8>>8 more stamps in her collection. This means she wants to have 40 + 8 = <<40+8=48>>48 stamps. #### 48 Hank gave his wife, Delphine, a box of 24 chocolates for Valentine's Day. On the first day, Delphine ate 4 chocolates. On the second day, she ate 3 less than twice as many chocolates as she ate the first day. On the third day, she ate two less than the number she ate on the first day. And on the fourth day, she ate one less than she ate the previous day. On the fifth day, how many chocolates remained uneaten? Twice as many chocolates as she ate the first day is 2*4=<<2*4=8>>8 chocolates. And three less than twice as many chocolates as she ate the first day is 8-3=<<8-3=5>>5 chocolates. Two less than the number she ate on the first day is 4-2=<<4-2=2>>2 chocolates. One less than she ate the third day is 2-1=<<2-1=1>>1 chocolate. By the end of the fourth day, 4+5+2+1=<<4+5+2+1=12>>12 chocolates had been eaten. Thus, on the fifth day, 24-12=<<24-12=12>>12 chocolates remained uneaten. #### 12 There are 100 students in class and the ratio of boys to girls is 3:2. How many more boys than girls are there? The class was divided into 3 + 2 = <<3+2=5>>5 parts. So each part is equal to 100/5 = <<100/5=20>>20 students. Since there are 3 parts for boys, then there are 20 x 3 = <<3*20=60>>60 boys in class. So there are 100 - 60 = <<100-60=40>>40 girls in class. Hence, there are 60 - 40 = <<60-40=20>>20 boys more than girls. #### 20 14 less than two times the number of koi fish in the pond is 64. How many koi fish will you find in the pond? Let k be the number of koi fish in the pond 14-2*k=64 2*k=64+14=78 2k=78 k=78/2=<<78/2=39>>39 #### 39 James has barrels that he uses to store water. They store 3 gallons more than twice as much as a large cask. If he has 4 barrels and a cask stores 20 gallons, how much water can he store? A barrel stores 20*2+3=<<20*2+3=43>>43 gallons So he can store 4*43=<<4*43=172>>172 gallons #### 172 The bus driver drives an average of 2 hours each day, 5 days a week. From Monday to Wednesday he drove at an average speed of 12 kilometers per hour, and from Thursday to Friday at an average speed of 9 kilometers per hour. How many kilometers did the driver travel during these 5 days? From Monday to Wednesday, there are 3 * 2 = <<3*2=6>>6 hours of work. During this time the driver drove 6 * 12 = <<6*12=72>>72 kilometers. On Thursday and Friday, there are 2 * 2 = <<2*2=4>>4 hours of work in total. During this time the driver drove 4 * 9 = <<4*9=36>>36 kilometers. So in total, the driver traveled 72 + 36 = <<72+36=108>>108 kilometers during these five days. #### 108