At a station, a train comes every 5 minutes leaving 200 passengers and taking 320 others. How many different passengers step on and off a train at the station within an hour?

At every passenger exchange there are 200 + 320 =

<<200+320=520>>520 different people. One hour is 60 minutes, so during one hour, a train comes 60 minutes/hour / 5 minutes/train = <<60/5=12>>12 times. So during one hour, 12 trains * 520 passengers/train = <<12*520=6240>>6240 different passengers step on and off the train. #### 6240 Greg bought a 20-pack of granola bars to eat at lunch for the week. He set aside one for each day of the week, traded three of the remaining bars to his friend Pete for a soda, and gave the rest to his two sisters. How many did each sister get when they split them evenly? Greg kept 1 granola bar for each of the 7 days of the week, so there were 20 - 7 = <<20-7=13>>13 bars left. He traded 3 to his friend Pete, so there were 13 - 3 = 10 bars left. His 2 sisters split the rest evenly, so each got 10 / 2 = <<10/2=5>>5 granola bars. #### 5 Alex is stacking his books in a pyramid. Each level of the pyramid has 80% as many books as the number of books in the previous level. If he makes four levels and the top level has 64 books, how many books are in the pyramid in total? The third level has 80 books because 64 / .8 = <<64/.8=80>>80 The second level has 100 books because 80 / .8 = <<80/.8=100>>100 The first level has 125 books because 100 / .8 = <<100/.8=125>>125 In total there are 369 books because 64 + 80 + 100 + 125 = <<64+80+100+125=369>>369 #### 369 There are one hundred tickets to be sold for a volleyball game. Andrea sold twice as many tickets as Jude while Sandra sold 4 more than half the number of tickets Jude sold. If Jude sold 16 tickets, how many tickets need to be sold? Andrea sold 16 x 2 = <<16*2=32>>32 tickets. Half the number of tickets Jude sold is 16/2 = <<16/2=8>>8. So, Sandra sold 8 + 4 = <<8+4=12>>12 tickets. Thus, Andrea, Jude, and Sandra sold a total of 32 + 16 + 12 = <<32+16+12=60>>60 tickets. Therefore, 100 - 60 = <<100-60=40>>40 tickets need to be sold. #### 40 Leah bought 3 boxes of birdseed. When she went to put them away, she discovered that she already had 5 boxes in the pantry. Her parrot eats 100 grams of seeds each week and her cockatiel eats 50 grams of seeds in a week. If each box of birdseed contains 225 grams, for how many weeks can she feed her birds without going back to the store? In a week, her birds eat a total of 100 grams + 50 grams = <<100+50=150>>150 grams of seed each week. Leah has a total of 3 + 5 = <<3+5=8>>8 boxes of birdseed. The boxes of birdseed contain a total of 8 * 225 grams = <<8*225=1800>>1800 grams. This is enough birdseed to feed her pets for 1800 / 150 = <<1800/150=12>>12 weeks. #### 12 Adam and Tom are brothers. Adam is 8 years old and Tom is 12 years old. In how many years will their combined age be 44 years old? At present, the two brothers have a combined age of 8 + 12 = <<8+12=20>>20 years old. Therefore, 1 year means an increase in the sum of their ages by 1 * 2 = <<1*2=2>>2 years. Adam and Tom need a total of 44 - 20 = <<44-20=24>>24 more years to be 44 years old together. So both brothers will be 44 years old together after 24 / 2 = <<24/2=12>>12 years. #### 12 Antoine is having a dinner party and his butcher recommends 1/2 pound of meat per person. If he's inviting 6 people over and the beef tenderloin is $15.00 a pound, how much will this cost him? He's inviting 6 people over and needs 1/2 pound of meat for each so that's 6*.5 = <<6*.5=3>>3 pounds of meat The beef tenderloin is $15.00 a pound and he needs 3 pounds so that's 15*3 = $<<15*3=45.00>>45.00 for dinner #### 45 If two piles of toys added together make 120 toys in total, and the larger of the two piles is twice as big as the smaller one, how many toys are in the larger pile? First, we set up the equation 3x=120, dividing both sides by three to find that x=40 Then we multiply X by 2 to find that 40*2= <<40*2=80>>80 As 80/2=40, and 40+80=<<120=120>>120, we find the sizes of the two piles as the larger pile is twice as big as the smaller pile, confirming that 80 is the answer. #### 80 Monica charges $25.00 per person when catering a dinner party. For repeat customers, she offers a 10% discount. Phoebe is a repeat customer who is having a dinner party for 20 guests. How much will Monica make from the party? Phoebe is having 20 guests and Monica charges $25.00 per person so that’s 20*25 = $<<20*25=500.00>>500.00 Phoebe is a repeat customer so she gets 10% off of $500.00 so that’s .10*500 = $<<10*.01*500=50.00>>50.00 discount Monica is charging $500.00 minus the repeat customer discount of $50.00 so she will make 500-50 = $<<500-50=450.00>>450.00 #### 450 The Diving Club offers 2 beginning diving classes on weekdays and 4 beginning classes on each day of the weekend. Each class has room for 5 people. How many people can take classes in 3 weeks? There are 2 classes x 5 days = <<2*5=10>>10 classes on weekdays. There are 4 classes x 2 days = <<4*2=8>>8 classes on weekends. There are a total of 10 + 8 = <<10+8=18>>18 classes per week. So each week, 18 x 5 = <<18*5=90>>90 people can take classes. Thus, 90 x 3 = <<90*3=270>>270 people can take classes in 3 weeks. #### 270