Peyton Manning throws a football 20 yards when the temperature is 50 degrees Fahrenheit, but the ball moves twice as far when the temperature is 80 degrees Fahrenheit. Last Saturday, the temperature was 50 degrees Fahrenheit, and he threw the ball twenty times. On Sunday, the temperature rose to 80 degrees Fahrenheit, and he threw the ball 30 times. Calculate the total number of yards he threw the ball in the two days.

On Saturday, he threw the ball 20 times, and since the temperature was 50 degrees, he could throw only 20 yards, totaling 20*20 =

<<20*20=400>>400 yards. On Sunday, the temperature favored him, and he threw the ball twice the distance he could throw on Saturday, which is 2*20 = <<2*20=40>>40 yards. If he threw the ball 30 times, he threw for 30*40 = <<30*40=1200>>1200 yards. In the two days, he threw 1200+400 = <<1200+400=1600>>1600 yards. #### 1600 The total distance between 2 towns is 200 miles. Roger and his friend drove 1/4 of the total distance, taking 1 hour to do so. They take lunch for another 1 hour and then drove the remaining distance going at the same speed as before. What's the total amount of time, in hours, Roger and his friend took to travel between the two towns? When they covered 1/4 of the total distance, they were 1/4 * 200 = <<1/4*200=50>>50 miles away from the starting point. The total distance remaining is 200 - 50 = <<200-50=150>>150 miles. If they took 1 hour to travel 50 miles, their speed was 50/1 = <<50/1=50>>50 miles per hour. If Roger was driving at 50 miles per hour, then the total time it took him to travel 150 miles is 150/50 = <<150/50=3>>3 hours. The total amount of time taken for the whole journey is 3 + 1 + 1= 5 hours. #### 5 Josie and her family went on a safari and had an exciting time watching different animals grazing and playing together. She decided to count each animal she saw and calculated their total number. She counted 80 antelopes, 34 more rabbits than antelopes, 42 fewer hyenas than the total number of antelopes and rabbits combined, 50 more wild dogs than hyenas, and the number of leopards was half the number of rabbits. What the total number of animals that Josie counted? The number of rabbits was 80+34 = <<80+34=114>>114 The total number of rabbits and antelopes is 114+80 = <<114+80=194>>194 The number of hyenas was 42 fewer than the combined number of antelopes and rabbits, which is 194-42 = 152 The number of wild dogs was 50 more than the number of hyenas, that is 152+50= 202 The number of leopards is 1/2*114 = <<1/2*114=57>>57 The total number of animals Josie saw is 57+202+152+114+80 = <<57+202+152+114+80=605>>605 #### 605 Allison, a YouTuber, uploads 10 one-hour videos of food reviews each day to her channel. She uploaded videos halfway through June, at that pace, and then doubled the number of video hours she uploaded on the remaining days. What's the total number of video hours she has uploaded at the end of the month? Since June has 30 days, halfway is 1/2*30 = <<1/2*30=15>>15 The total number of video hours halfway through June is 10*15 = <<10*15=150>>150 When she doubled the number of video hours, the total per day became 10*2 = <<10*2=20>>20 The total number of video hours for the remaining days is 15*20 = <<15*20=300>>300 The total number of video hours for the whole month is 300+150 = <<300+150=450>>450 #### 450 Carla's teacher tells her that she needs to collect 30 leaves and 20 bugs for a project that's due in 10 days. How many items does Carla need to collect each day if she always wants to collect the same daily amount? First find the total number of items Carla needs to find by adding the number of leaves to the number of bugs: 30 leaves + 20 bugs = <<30+20=50>>50 items Now divide the total number of items by the number of days Carla has to do her assignment to find the daily collection amount: 50 items / 10 days = <<50/10=5>>5 items/day #### 5 Edward the plumber is replacing a pipe in a bathroom wall. He needs to use 40 feet of copper pipe to complete the job. For every 5 feet of pipe, Edward must use one tightening bolt, and for every bolt, he uses two washers. He buys a bag of 20 washers for the job. After he completes the bathroom job, how many washers will be remaining in the bag? If Edward needs to use 1 bolt per every five feet of piping, then for a job requiring 40-feet of piping, he will use 40/5 = <<40/5=8>>8 tightening bolts. If for every 1 bolt he uses two washers, then he will need 8 * 2 = <<8*2=16>>16 washers to complete the job. if he buys a bag containing 20 washers, and removes 16, he will have 20 - 16 = <<20-16=4>>4 washers remaining in the bag. #### 4 Following her doctor’s recommendation to up her daily water intake, Nancy now drinks the equivalent of 60% of her body weight in water. If Nancy’s daily water intake is 54 pounds, how much, in pounds, does she weigh? Let Nancy’s weight be x We know that 60/100 * x = 54 pounds This translates to x= 54*100/60 = <<54*100/60=90>>90 pounds #### 90 Ryan builds model mustang cars. A full size mustang is 240 inches long. The mid-size model that Ryan creates is 1/10th the size, and the smallest model that Ryan creates is half the size of the mid-size model. How many inches long is the smallest model mustang? Mid-size:240/10=<<240/10=24>>24 inches Small Model:24/2=<<24/2=12>>12 inches #### 12 Taylor and his friends decide to bring their pets together for a walk. 3 of his friends come first, each having twice as many pets as Taylor has. Another two of his friends have 2 pets each. If Taylor has 4 pets, what's the total number of pets they have together? If Taylor has 4 pets, and each of his first friends brings twice as much, the total for each friend is 4*2 = <<4*2=8>>8 pets. The total number of pets for Taylor's first friends is 8*3 = <<8*3=24>>24 pets. The other two friends brought two pets each, a total of 2*2 = <<2*2=4>>4 pets. The total number of pets will be Taylor's pets plus his friend's, which is 4+4+24 = <<4+4+24=32>>32 pets #### 32 40 kids are running a race. 10% of them pass the finish line in less than 6 minutes. Three times that number finish in less than 8 minutes. 1/6 of the remaining kids take more than 14 minutes. How many kids take more than 14 minutes? First find how many kids finish in under 6 minutes: 40 kids * 10% = <<40*10*.01=4>>4 kids Then triple that number to find how many finish in less than 8 minutes: 4 kids * 3 = <<4*3=12>>12 kids Then subtract those two numbers from the total number of kids to find the number of remaining kids: 40 kids - 4 kids - 12 kids = <<40-4-12=24>>24 kids Then divide that number by 6 to find how many kids take more than 14 minutes: 24 kids / 6 = <<24/6=4>>4 kids #### 4