After a visit to the newly opened aquarium, 40 percent of the aquarium visitors fell ill from a mysterious disease. If there were 500 visitors, how many of them did not fall ill?

How many visitors fell ill? ** If there were 500 visitors, and 40% of them fell ill, the number of visitors who fell ill is 40/100*500 =

<<40/100*500=200>>200 people How many visitors did not fall ill? ** The number of visitors who did not get ill is 500-200 = <<500-200=300>>300 #### 300 During the most recent voyage of the Starship Conundrum, the spacecraft traveled from Planet X to Planet Y in eight hours less than twice the number of hours in a typical earth day. If the distance between these two planets is 4,000 parsecs, what was the average speed, in parsecs per hour, of the Starship Conundrum during this most recent voyage? How many hours are in a typical earth day? ** Twice the number of hours in a typical earth day is 24*2=<<24*2=48>>48 hours. How many hours are in a typical earth day? ** Eight hours less than twice the number of hours in a typical earth day is 48-8=<<48-8=40>>40 hours. What was the average speed, in parsecs per hour, of the Starship Conundrum during this most recent voyage? ** If the distance between these two planets is 4,000 parsecs, then the average speed on this voyage was 4000/40=<<4000/40=100>>100 parsecs per hour. #### 100 The owner of a company needs to install a transformer to power his electrical equipment. He operates three units of machinery that require a running current of 40A each. These appliances require at least twice their running current for starting, and the transformer chosen must account for this. What is the minimum current load that his transformer of choice must be able to carry? How many units are there? ** Three units require a running current of 40A each for a total current load of 3*40A = <<3*40=120>>120A How much current does the transformer need to carry? ** They require twice 120A for starting which is 2*120A = <<2*120=240>>240A which is the minimum current load that the transformer must be able to carry #### 240 Tim is 5 years old. His cousin, Rommel, is thrice as old as he is. His other cousin, Jenny, is 2 years older than Rommel. How many years younger is Tim than Jenny? How old is Rommel? ** Rommel is 5 x 3 = <<5*3=15>>15 years old. How old is Jenny? ** Jenny is 15 + 2 = <<15+2=17>>17 years old. How many years younger is Tim than Jenny? ** So, Tim is 17 - 5 = <<17-5=12>>12 years younger than Jenny. #### 12 On a three-day trip, Wendy drove 125 miles on the first day, and 223 miles on the second day. How many miles did she drive on the third day, if the total miles that Wendy drove for the trip is 493 miles? How many miles did Wendy drive on the first two days? ** Wendy drove 125 miles + 223 miles = <<125+223=348>>348 miles on the first two days. How many miles did Wendy drive on the third day? ** So on the third day, she drove 493 miles - 348 miles = <<493-348=145>>145 miles. #### 145 Andy needs to drive from Salt Lake City to Los Angeles. The drive from Salt Lake City to Las Vegas is 420 miles. The drive from Las Vegas to Los Angeles is 273 miles. He wants to make the drive in 11 hours. What's the average minimum speed that Andy needs to drive to reach Los Angeles in 11 hours? How far is the total distance of the trip? ** The total distance of the trip is 420 + 273 = <<420+273=693>>693 miles. How fast must Andy drive to make the trip in 11 hours? ** To make the trip Andy must drive 693 miles / 11 hours = <<693/11=63>>63 miles per hour. #### 63 Mark started the day with 14 buttons. His friend Shane gave him 3 times that amount of buttons. Then his other friend Sam asked if he could have half of Mark’s buttons. How many buttons did Mark end up with? How many buttons did Shane give Mark? ** Shane gave Mark 14*3=<<14*3=42>>42 buttons How many buttons did Mark have after Shane gave him 42? ** After that Mark had 42+14=<<42+14=56>>56 buttons How many buttons did Mark give Shane? ** Then Mark gave 56/2=<<56/2=28>>28 buttons to Shane How many buttons did Mark end up with? ** Which left Mark with 28 buttons #### 28 Tom decides to make lasagna with all his beef. It takes twice as many noodles as beef. He has 10 pounds of beef. He already has 4 pounds of lasagna noodles and the noodles come in 2-pound packages. How many packages does he need to buy? How many pounds of noodles does Tom need? ** He needs 10*2=<<10*2=20>>20 pounds of noodles How many pounds of noodles does Tom need to buy? ** That means he needs to buy 20-4=<<20-4=16>>16 pounds of noodles How many packages does Tom need to buy? ** So he needs to buy 16/2=<<16/2=8>>8 packages #### 8 For the funfair, the school organizers ordered 30 rolls of tickets. Each roll of tickets has 100 tickets. The 4th graders bought 30% of the tickets while the 5th graders bought 50% of the remaining tickets. Then the 6th graders bought a total of 100 tickets. How many tickets were left unsold? How many tickets were ordered? ** There were a total of 30 x 100 = <<30*100=3000>>3000 tickets ordered by the school organizers. How many tickets did the 4th graders buy? ** The 4th graders bought 3000 x 30/100 = <<3000*30/100=900>>900 tickets. How many tickets were left? ** So, there were 3000 - 900 = <<3000-900=2100>>2100 tickets left for the other two grade levels. How many tickets did the 5ers buy? ** The 5th graders bought 2100 x 50/100 = <<2100*50/100=1050>>1050 tickets. How many tickets were left? ** So, 2100 - 1050 = <<2100-1050=1050>>1050 tickets were left then. How many tickets were left unsold? ** Since 100 tickets were bought by the 6th graders, therefore 1050 - 100 = <<950=950>>950 tickets were left unsold. #### 950 Kekai is running a sundae booth at the carnival. On Monday, he makes a total of 40 sundaes, and he puts 6 m&ms on each sundae. On Tuesday, he makes a total of 20 sundaes, and he puts 10 m&ms on each sundae. If each m&m pack contains 40 m&ms, how many m&m packs does Kekai use? How many m&ms does Kekai use on Monday? ** On Monday, Kekai uses 40 * 6 = <<40*6=240>>240 m&ms How many m&ms does Kekai use on Tuesday? ** On Tuesday, Kekai uses 20 * 10 = <<20*10=200>>200 m&ms How many m&ms does Kekai use in total? ** Kekai uses a total of 240 + 200 = <<240+200=440>>440 m&ms How many m&m packs does Kekai use? ** Kekai uses a 440 / 40 = <<440/40=11>>11 m&m packs #### 11