Simon has 20% more legos than Bruce, who has 20 more than Kent. If Kent has 40 legos, how many does Simon have?

Bruce has 20 more legos than Kent who has 40 so Bruce has 20+40 =

<<20+40=60>>60 legos Simon has 20% more legos than Bruce who has 60 legos so that's .20*60 = <<20*.01*60=12>>12 more legos 20% more is 12 legos and Bruce has 60 so Simon has 12+60 = 72 legos #### 72 Josh has a device that automatically records the temperature in his lab every 5 seconds. To perform an analysis of environmental conditions, Josh lets the device record data for one hour. How many instances of data will the device record? There are 60 minutes in an hour, and 60 seconds in a minute so there are 60*60 = <<60*60=3600>>3600 seconds in an hour The device records data every 5 seconds so there will be 3600/5 = <<3600/5=720>>720 instances of data in an hour. #### 720 Bill and Jean are both cleaning out their garages. Bill makes a certain number of trips to the dump and Jean makes that many trips plus 6. If they make 40 trips total, how many trips does Jean make? Let b be the number of trips Bill makes and j be the number Jean makes. We know that b + j = 40, and j = b + 6. Substituting the first equation into the second equation, we get b + b + 6 = 40 Combining like terms, we get 2b + 6 = 40 Subtracting 6 from both sides, we get 2b = 34 Dividing both sides by 2, we get b = 17 Substituting that value back into j = b + 6, we get j = 17 + 6 = <<17+6=23>>23 #### 23 The show Magic King was on the air for 10 seasons and 20 episodes per season for the first half of seasons and 25 for the second half of the show. How many total episodes were there? Half the number of shows is 10/2=<<10/2=5>>5 seasons So the first 5 seasons contributed 5*20=<<5*20=100>>100 episodes The second 5 seasons contributed 5*25=<<5*25=125>>125 episodes So there were a total of 100+125=<<100+125=225>>225 episodes #### 225 Joan is answering English and Math exams with 30 and 15 questions, respectively. The English exam is to be completed in 1 hour and the Math exam in 1.5 hours. If Joan wants to spend an equal amount of time on each question, how many more minutes does she have in answering each question on the Math exam than the English exam? Joan is given 1 x 60 = <<1*60=60>>60 minutes to answer the English exam. So Joan will spend 60/30 = <<60/30=2>>2 minutes for each English question. She is given 1.5 x 60 = <<1.5*60=90>>90 minutes to answer the Math exam. So, she will spend 90/15 = <<90/15=6>>6 minutes for each Math question. Hence, Joan has 6 - 2 = <<6-2=4>>4 minutes more for answering each question in Math than in English. #### 4 James has 5 dozen boxes of matches. Each box contains 20 matches. How many matches does James have? He has 5*12=<<5*12=60>>60 boxes of matches That means he has 60*20=<<60*20=1200>>1200 matches #### 1200 Running for 2 hours, Jonah burnt 30 calories every hour. How many more calories would he have lost if he would have run for five hours? When Jonah ran for 2 hours, burning 30 calories every hour, he burnt a total of 2*30=<<2*30=60>>60 calories. If he had run for five hours, losing 30 calories every hour, Jonah would have burnt 5*30=<<5*30=150>>150 calories. The difference in the number of calories Jonah would have burnt if he ran for five hours instead of 2 hours is 150-60=<<150-60=90>>90 calories. #### 90 Carrie worked for 2 hours a day for 4 days to make and decorate a wedding cake. She was paid $22 an hour. The cost for supplies to make the cake was $54. How much profit did Carrie earn on the cake? Carrie worked 2 hours x 4 days = <<2*4=8>>8 hours. Carrie was paid $22 x 8 = $<<22*8=176>>176. Her profit was $176 - $54 = $<<176-54=122>>122. #### 122 There are many fish in the tank. One third of them are blue, and half of the blue fish have spots. If there are 10 blue, spotted fish, how many fish are there in the tank? There are 2*10=<<2*10=20>>20 blue fish. There are 3*20=<<3*20=60>>60 fish. #### 60 Matilda bought a smartphone for $300. Then she decided she wouldn't use it anyway and sold it for $255. What percentage of the initial cost did she lose? The difference between the initial cost and the amount she sold the phone for is $300-$255 = $<<300-255=45>>45 $45 is (($45/$300)*100)% = 15% of $300 #### 15