Onum Lake has 25 more trout than Boast Pool. There are 75 fish in Boast Pool. Riddle Pond has half as many fish as Onum Lake. What is the average number of fish in all three bodies of water?
Onum lake has 25 trout + 75 =
<<25+75=100>>100 fish. Riddle Pond has 1/2 * 100 fish in Onum lake = <<1/2*100=50>>50 fish. Combined the three bodies of water have 100 fish + 50 fish + 75 fish = <<100+50+75=225>>225 fish. The average number of fish in the bodies of water is 225 fish / 3 = <<225/3=75>>75 fish. #### 75 Billy made 49 sandwiches; Katelyn made 47 more than that. Chloe made a quarter of the amount that Katelyn made. How many sandwiches did they make in all? Katelyn made 49+47 = <<49+47=96>>96 sandwiches. Chloe made 96/4 = <<96/4=24>>24 sandwiches. Billy, Katelyn, and Chloe made 49+96+24 = <<49+96+24=169>>169 sandwiches in all. #### 169 Jill is painting her 20 toenails and fingernails. She paints 6 of her nails purple, 8 of them blue, and the rest striped. What is the difference in percentage points between the percentage of nails painted blue and the percentage painted striped? First find the total number of striped nails: 20 nails - 6 nails - 8 nails = <<20-6-8=6>>6 nails Then divide the number of blue nails by the number of total nails and multiply by 100% to express the answer as a percentage: 8 blue nails / 20 total nails * 100% = 40% Then divide the number of striped nails by the number of total nails and multiply by 100% to express the answer as a percentage: 6 striped nails / 20 total nails * 100% = 30% Then subtract the percentage of striped nails from the percentage of blue nails to find the difference: 40% - 30% = 10% #### 10 Alice is planting bushes around three sides of her yard. If each side is 16 feet long, and each bush fills 4 feet, how many bushes does she need to buy? First find the total distance the bushes need to cover: 16 feet/side * 3 sides = <<16*3=48>>48 feet Then divide the total distance to fill by the distance each bush fills to find the number of bushes Alice needs to buy: 48 feet / 4 feet/bush = <<48/4=12>>12 bushes #### 12 Mickey's number is greater than Jayden's number by exactly 20. If Jayden's number is 40 less than Coraline's number, and Coraline's number is 80, calculate the total of the numbers they have. If Coraline has the number 80, Jayden, whose number is 40 less than that of Coraline, has 80-40 = <<80-40=40>>40 Together, Jayden and Coraline's numbers total 80+40 = <<80+40=120>>120 Mickey's number is greater than Jayden's number by exactly 20, meaning his number is 40+20 = 60 The total of the numbers the three have is 120+60 = <<120+60=180>>180 #### 180 Nadine collected different colored pebbles. She has 20 white pebbles and half as many red pebbles. How many pebbles does she have in all? Nadine has 20/2 = <<20/2=10>>10 red pebbles. Thus, she has 20 + 10 = <<20+10=30>>30 pebbles. #### 30 Sasha heard that planting trees helps to reduce the local temperature. For each tree planted, the temperature drops .1 degree. A tree costs $6 to plant. If she got the local temperature to drop from 80 to 78.2, how much did it cost to plant the trees? The temperature dropped 1.8 degrees because 80 -78.2 = <<80-78.2=1.8>>1.8 She planted 18 trees because 1.8 / .1 = <<1.8/.1=18>>18 It cost $108 to plant the trees because 18 x 6 = <<18*6=108>>108 #### 108 Katy, Wendi, and Carrie went to a bread-making party. Katy brought three 5-pound bags of flour. Wendi brought twice as much flour as Katy, but Carrie brought 5 pounds less than the amount of flour Wendi brought. How much more flour, in ounces, did Carrie bring than Katy? Katy's three 5-pound bags of flour weigh 3*5=<<3*5=15>>15 pounds. Wendi brought twice as much flour as Katy, or 15*2=<<15*2=30>>30 pounds of flour. Carrie brought 5 pounds less flour than Wendi, or 30-5=<<30-5=25>>25 pounds of flour. Thus, Carrie brought 25-15=<<25-15=10>>10 pounds of flour more than Katy. In ounces, the 10 pound difference is 10*16=<<10*16=160>>160 ounces. #### 160 At a school, 40% of the students receive a free lunch. These lunches are paid for by making sure the price paid by the paying students is enough to cover everyone's meal. If it costs $210 to feed 50 students, how much do the paying students pay for lunch? 60% of the students pay for the lunch because 100 - 40 = <<100-40=60>>60 30 students pay for lunch because 50 x .6 = <<50*.6=30>>30 These students pay $7 for their lunch because 210 / 30 =<<210/30=7>>7 #### 7 James decides to buy himself a new barbell. It cost 30% more than his old $250 barbell. How much did it cost? It cost 250*.3=$<<250*.3=75>>75 more than his old barbell So it cost 250+75=$<<250+75=325>>325 #### 325