Rick has just celebrated his 15th birthday. His oldest brother is twice his age, and his middle brother is a third of the oldest brother’s age. The smallest brother is half the middle brother’s age. If the youngest brother is 2 years younger than the smallest brother, how old, in years, is the youngest brother?

Rick’s oldest brother is 15 years * 2 =

<<15*2=30>>30 years old. This means the middle brother is 30 years / 3 = <<30/3=10>>10 years old. The smallest brother is therefore 10 years / 2 = <<10/2=5>>5 years old. So the youngest brother is 5 years – 2 years = <<5-2=3>>3 years old. #### 3 The outdoor scouts went on a hike to see a waterfall. To get to the hike, the club members took 3 cars, 6 taxis and 2 vans. There were 4 people in each car, 6 people in each taxis and 5 people in each van. How many people went on the hike? The number of people in cars is 3 × 4 = <<3*4=12>>12. The number of people in taxis is 6 × 6 = <<6*6=36>>36. The number of people in vans is 2 × 5 = <<2*5=10>>10. In total 12 + 36 + 10 = <<12+36+10=58>>58 people went on the hike. #### 58 Sue borrowed 15 books and 6 movies. She returned 8 books. She then returned a third of the movies to the library and checked out 9 more books. How many movies and books does Sue now have? Sue has 15-8 = <<15-8=7>>7 books left after returning at the library. Sue returned 6/3 = <<6/3=2>>2 movies to the library. Sue had 6-2 = <<6-2=4>>4 movies left. Sue had 7+9 = <<7+9=16>>16 books after checking out at the library. Sue has 16+4 = <<16+4=20>>20 movies and books combined. #### 20 Pete's memory card can hold 3,000 pictures of 8 megabytes each. How many pictures can it hold of 6 megabytes each? The capacity is 3000*8=<<3000*8=24000>>24000. It can hold 24000/6=<<24000/6=4000>>4000 6 megabyte pictures #### 4000 Jules is walking dogs to help pay for his family's vacation. The vacation costs $1,000. There are five members in his family and each one must contribute the same amount towards the vacation cost. He charges $2 to start a walk and $1.25 per block. If he walks 20 dogs, how many blocks in total does he have to walk them? Jules has to earn $200 because 1000 / 5 = <<1000/5=200>>200 He has earned $40 from starting the walks because 20 x 2 = <<20*2=40>>40 He has to earn $160 from distance, because 200 - 40 = <<200-40=160>>160 He has to walk 128 blocks because 160 / 1.25 = <<160/1.25=128>>128 #### 128 Kevin repairs phones at his job. At the beginning of the day, Kevin has 15 phones that need to be repaired. By the afternoon, Kevin has successfully repaired 3 of the 15 phones and a client has dropped off 6 more phones that need fixing. If a coworker of Kevin's offers to help him and fix half of the damaged phones, how many phones will each person need to repair? Kevin begins the day with 15 phones and repairs 3 by the afternoon, so Kevin still has to repair 15 - 3 = <<15-3=12>>12 phones. A client drops off 6 additional phones that require fixing, increasing the total to 12 + 6 = 18 phones. If Kevin's coworker helps Kevin fix half of the phones, then each person needs to fix 18 / 2 = <<18/2=9>>9 phones. #### 9 Xena is trying to outrun a dragon to get to the safety of a cave it's too big to fit into. Xena has a 600 foot head start, but the dragon can burn her if it gets within 120 feet of her. If Xena runs 15 feet per second and the dragon flies 30 feet per second, how many seconds does Xena have to get to the cave? First find the size of the gap the dragon needs to close to burn Xena: 600 ft - 120 ft = <<600-120=480>>480 ft Then find how many feet closer the dragon gets each second by subtracting Xena's speed from the dragon's speed: 30 ft/sec - 15 ft/sec = <<30-15=15>>15 ft/sec Then divide the distance by the speed difference to find how many seconds it takes for the dragon to get close enough to burn Xena: 480 ft / 15 ft/sec = <<480/15=32>>32 sec #### 32 How long is it before Kayla can reach the minimum age of driving of her state, which is 18, if she is currently half the age of her sister Kimiko who is 26 years old? If Kimiko is 26 years old, Kayla, who is half her age, is 26/2 = <<26/2=13>>13 years old. Sine the minimum driving age is 18, Kayla will have to wait for 18-13 = <<18-13=5>>5 more years to start driving. #### 5 Harry is counting the hours that he sleeps. On Monday night, he sleeps for 8 hours. On Tuesday night, he sleeps for 7 hours. On Wednesday night, he sleeps for 8 hours. On Thursday night, he sleeps for 10 hours. On Friday night he sleeps for 7 hours. What is the average number of hours that Harry sleeps in one night? Across Monday through Friday, the total number of hours Harry sleeps is 8 + 7 + 8 + 10 + 7 = <<8+7+8+10+7=40>>40 hours The total number of days from Monday through Friday is <<5=5>>5 days The average number of hours Harry sleeps in one night is 40 / 5 = <<40/5=8>>8 hours #### 8 Jack is counting out his register at the end of his shift in the shop. His till has 2 $100 bills, 1 $50 bill, 5 $20 bills, 3 $10 bills, 7 $5 bills, 27 $1 bills, and a certain amount of change in coins. If he is supposed to leave $300 in notes as well as all the coins in the till and turn the rest in to the main office, how much money will he be handing in? Jack's till has 2 * $100 + 1 * $50 + 5 * $20 + 3 * $10 + 7 * $5 + 27 * $1 bills, or $200 + $50 + $100 + $30 + $35 + $27 = $<<2*100+1*50+5*20+3*10+7*5+27*1=442>>442. He's going to leave $300 in the till and turn the rest in to the office, so he'll be turning in $442 - $300 = $142. #### 142