Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes less than three times as long as the first lock. When Karen tries both locks at once, it stalled the raccoons for five times as long as the second lock alone. How long is that?

First find how long the second lock stalls them: 5 minutes * 3 - 3 minutes =

<<5*3-3=12>>12 minutes Then multiply that amount by 5 to find the total time the third lock stall the raccoon: 12 minutes * 5 = <<12*5=60>>60 minutes #### 60 Brian is taping up some boxes. Each box needs three pieces of tape, one as long as the long side and two as long as the short side. If Brian tapes up 5 boxes that measure 15 inches by 30 inches and 2 boxes that measure 40 inches square, how much tape does he need? First find the amount of tape each 15 in x 30 in box needs on the short sides: 2 sides * 15 inches/side = <<2*15=30>>30 inches Then add that to the amount of tape each 15 in x 30 in box needs on the long side to find the total amount needed per box: 30 inches + 30 inches = <<30+30=60>>60 inches Then multiply that amount by 5 boxes to find the total amount needed: 60 inches/box * 5 boxes = 300 inches Then find the amount of tape each 40 in x 40 in box needs for its three equal length sides: 3 sides * 40 inches/side = <<3*40=120>>120 inches Then multiply that amount by 2 boxes to find the total amount needed: 120 inches/box * 2 boxes = 240 inches Then add the total amount needed for each box size to find the grand total: 240 inches + 300 inches = <<240+300=540>>540 inches #### 540 Three friends agreed to pay an equal amount of money for buying 5 bags of chips. If they each pay $5, how much does each bag of chips cost? Five bags of chips cost $5 x 3 = $<<5*3=15>>15. So each bag of chips costs $15/5 = $<<15/5=3>>3. #### 3 Phil likes to collect baseball cards. He buys a pack of twenty each week for a year, but then loses half of them one day in a fire. How many baseball cards does Phil have left? Since there are 20 cards in a pack and 52 weeks in a year, Phil starts by collecting 20*52= <<20*52=1040>>1040 baseball cards He then loses half of them for 1040/2= <<1040/2=520>>520 cards remaining. #### 520 There were 30 women and 20 men who attended the party. After few hours, 2/5 of the total number of people left. If 9 men left the party, how many more women stayed at the party than men? There were 30 + 20 = <<30+20=50>>50 attendees at the party. A total of 50 x 2/5 = <<50*2/5=20>>20 people left the party. Nine of those who left were men while 20 - 9 = <<20-9=11>>11 of them were women. So, 30 - 11= <<30-11=19>>19 women stayed at the party. And 20 - 9 = <<20-9=11>>11 men stayed at the party. Thus, 19 - 11 = <<19-11=8>>8 more women than men stayed at the party. #### 8 Bill is laying power cable for a new neighborhood. There are going to be 18 east-west streets that are 2 miles long and 10 north-south streets that are four miles long. It takes 5 miles of cable to electrify 1 mile of street. If cable costs $2000/mile, what is the total cost of cable for the neighborhood? First find the total distance of the east-west streets: 18 streets * 2 miles/street = <<18*2=36>>36 miles Then find the total distance of the north-south streets: 10 streets * 4 miles/street = <<10*4=40>>40 miles Then add the number of miles from each type of street to find the total distance: 36 miles + 40 miles = <<36+40=76>>76 miles Then multiply that number by 5 to find the number of miles of cable needed: 76 miles street * 5 miles cable/mile street = <<76*5=380>>380 miles of cable Then multiply that number by the cost of one mile of cable to find the total cost: 380 miles * $2000/mile = $<<380*2000=760000>>760,000 #### 760000 Cynthia has three children whose ages add up to 35. Matthew is two years older than Rebecca and four years younger than Freddy. How many years old is Freddy? Let A be Matthew’s age. Rebecca is A - 2 years old. Freddy is A + 4 years old. Their ages add up to 35, so A + A - 2 + A + 4 = 3A + 2 = 35. Therefore, 3A = 35 - 2 = 33. Matthew is A = 33 / 3 = <<33/3=11>>11 years old. Thus, Freddy is 11 + 4 = <<11+4=15>>15 years old. #### 15 Vincent’s washer broke so he had to go to the laundromat. On Wednesday he washed six loads of clothes. The next day he had time to wash double the number of loads he did the day before. On Friday he had a test and could only manage half of the loads he did on Thursday. On Saturday the laundromat closed at noon and he could only wash a third of the loads of laundry he did on Wednesday. How many loads of laundry had he washed that week? On Thursday he washed 6*2=<<6*2=12>>12 loads of laundry On Friday he washed 12/2=<<12/2=6>>6 loads of laundry On Saturday he washed 6/3=<<6/3=2>>2 loads of laundry In total he washed 6+12+6+2= <<6+12+6+2=26>>26 loads of laundry #### 26 Isabel loves to run in the forest and she does it within a circuit that is 365 meters long. She runs the circuit 7 times in the morning and runs it 3 times in the afternoon. How many meters does Isabel run during a week? In the morning she runs 7 * 365 = <<7*365=2555>>2555 metres In the afternoon she runs 3 * 365= <<3*365=1095>>1095 meters. In one day, afternoon and morning, she runs 2555 + 1095 = <<2555+1095=3650>>3650 meters In a week, she runs 7 * 3650= <<7*3650=25550>>25550 meters #### 25550 A shop sells laptops at $600 each and a smartphone at $400. Celine buys two laptops and four smartphones for her children. How much change does she get back if she has $3000? The cost of the two laptops is 2 x $600 = $<<2*600=1200>>1200. The cost of the four smartphones is 4 x $400 = $<<4*400=1600>>1600. Thus, the total cost of all the items is $1200 + $1600 = $<<1200+1600=2800>>2800. Therefore, Celine gets a change of $3000 - $2800 = $<<3000-2800=200>>200. #### 200