Bridget counted 14 shooting stars in the night sky. Reginald counted two fewer shooting stars than did Bridget, but Sam counted four more shooting stars than did Reginald. How many more shooting stars did Sam count in the night sky than was the average number of shooting stars observed for the three of them?

Reginald counted two fewer shooting stars than did Bridget, or a total of 14-2=

<<14-2=12>>12 shooting stars. Sam counted 4 more shooting stars than did Reginald, or a total of 12+4=16 shooting stars. The average number of shooting stars observed for the three of them was (14+12+16)/3 = <<14=14>>14 shooting stars. Thus, Sam counted 16-14=2 more shooting stars than was the average number of shooting stars observed for the three of them. #### 2 Jackson is making pancakes with three ingredients: flour, milk and eggs. 20% of the bottles of milk are spoiled and the rest are fresh. 60% of the eggs are rotten. 1/4 of the cannisters of flour have weevils in them. If Jackson picks a bottle of milk, an egg and a canister of flour at random, what are the odds all three ingredients will be good? First find the percentage of milk bottles that are fresh: 100% - 20% = 80% Then find the percentage of the eggs that aren't rotten: 100% - 60% = 40% Then find the fraction of the flour canisters that don't have weevils: 1 - 1/4 = 3/4 Divide the numerator of this fraction by the denominator and multiply by 100% to convert from a fraction to a percent: 3 / 4 * 100% = 75% Then multiply the probability that each ingredient is good to find the probability they all are: 75% * 80% * 40% = 24% #### 24 Alex is working on a science project and has taken pictures of all of the plants in a park near her home. She wants to find out how many of each plant she has pictures of, but she has 960 pictures, and counting them all will take her a long time. Her teacher suggested she use a program on the computer that can automatically tell her what plant is in each picture and count them for her. It will take the program 2 minutes to process each picture. How many hours will it take to process all of the pictures? Each picture will take 2 minutes to process. 2 x 960 = <<2*960=1920>>1,920 minutes There are 60 minutes in an hour. To find the hours, divide the minutes by 60. 1,920 / 60 = <<1920/60=32>>32 hours #### 32 The building has 42 storage units that are a total of 5040 square feet. Twenty of the units are 8 by 4 feet each. If the remaining units are all the same size, what is the area, in square feet, for one of the remaining units? 8 * 4 = <<8*4=32>>32 square feet 20 * 32 = <<20*32=640>>640 square feet 5040 - 640 = <<5040-640=4400>>4400 square feet There are 42 - 20 = <<42-20=22>>22 remaining units 4400/22 = <<4400/22=200>>200 square feet One of the remaining units is 200 square feet. #### 200 Timmy, Tommy and Tina are filling up a kiddie pool in their backyard. Each has a pail they fill with water from a house before dumping it into the pool. If Timmy's pail holds twice as much water as Tommy's, and Tommy's holds 2 gallons more than Tina's, and Tina's is 4 gallons, how much water do the three of them fill the pool with after 3 trips each? If Tina's pail holds 4 gallons and Tommy's holds 2 more gallons than hers, that means Tommy's holds 4+2=<<4+2=6>>6 gallons. If Timmy's pail holds twice as much as Tommy's 6-gallon pail, that means it holds 6*2=<<6*2=12>>12 gallons. Therefore, in 1 trip that means all three move a total of 4+6+12=<<4+6+12=22>>22 gallons. In three trips, that means they would move a total of 22*3=<<22*3=66>>66 gallons #### 66 Alexa was on vacation for 3/4ths of the time it took Ethan to learn 12 fencing tricks. Joey spent half as much this time (that Ethan spent learning the tricks) learning to swim. If Alexa spent a week and 2 days on vacation, how many days did it take Joey to learn swimming? There are 7 days in one week so one week and 2 days = 7+2 = <<7+2=9>>9 days Call the time Ethan spends learning tricks e. Alexa spent 9 days on vacation which is 3/4ths of the time Ethan spent learning 12 fencing tricks, hence (3/4)e = 9 days If we multiply both sides of this equation by 4/3, we get e = (4/3)*9 days = <<(4/3)*9=12>>12 days Joey spent half of 12 days which is 12/2 = <<12/2=6>>6 days to learn swimming #### 6 Megan pays $16 for a shirt that costs $22 before sales. What is the amount of the discount? Let x be the amount of the discount. We have, 22 - x = $16 We change the writing of the equation: 22 - x + x = 16 + x So, 22 = 16 + x We then Remove 16 from both sides: 22 - 16 = 16 + x - 16 So, 22 - 16 = x So, the amount of the discount is x = $<<6=6>>6. #### 6 Daisy's Flower Shop sold 45 daisies on its first day. On their second day, they sold 20 more flowers than they did on their first day. On the third day, they sold 10 less than twice the flowers that were sold than on the second day. If the flower shop sold a total of 350 daisies for 4 days, how many daisies were sold on the 4th day? The flower shop sold 45 + 20 = <<45+20=65>>65 daisies on the second day. Twice the number of flowers on the second day is 65 x 2 = <<65*2=130>>130. So, the flower shop sold 130 - 10 = <<130-10=120>>120 daisies on the third day. The total daisies sold for 3 days was 45 + 65 + 120 = <<45+65+120=230>>230. Therefore, 350 - 230 = <<350-230=120>>120 daisies were sold on the 4th day. #### 120 Sonia and Joss are moving to their new house at the lake. They have too much stuff in their previous house and decide to make multiple trips to move it all to the new house. They spend 15 minutes filling the car with their stuff and spend 30 minutes driving from the previous house to the new house. Fortunately, they did not waste any time unloading their stuff into the new house. In total they make 6 trips to complete the move. How many hours did they spend moving? They spend 15 minutes/trip + 30 minutes/trip = <<15+30=45>>45 minutes/trip filling the car and driving to the new house. They had to take 6 trips, so they spend 45 minutes/trip x 6/trip = <<45*6=270>>270 minutes. They also had to drive back to their previous house 5 times to complete the move: 30 minutes/trip x 5 trips = <<30*5=150>>150 minutes. In total, they spent 270 minutes + 150 minutes = <<270+150=420>>420 minutes. Each hour has 60 minutes so they spent 420 minutes ÷ 60 minutes/hour = <<420/60=7>>7 hours in total. #### 7 Jeremie wants to go to an amusement park with 3 friends at the end of summer. Tickets are $18 for children and a set of snack cost $5. How much will it cost Jeremie and her 3 friends to go to the amusement park and buy each of them a set of snacks? There are 1 + 3 = <<1+3=4>>4 of them who will go to the park. The ticket and a set of snack cost $18 + $5 = $<<18+5=23>>23. So, it will cost Jerimee and her 3 friends $23 x 4 = $<<23*4=92>>92. #### 92