There are three machines in a factory. Machine A can put caps on 12 bottles in 1 minute. Machine B can put caps to 2 fewer bottles than Machine A. Machine C can put caps to 5 more bottles than Machine B. How many bottles can those three machines put caps on in 10 minutes?

Machine A can put caps on 12 x 10 =

<<12*10=120>>120 bottles in 10 minutes. Machine B can put caps on 12 - 2 = <<12-2=10>>10 bottles in 1 minute. So in 10 minutes, machine B can put caps on 10 x 10 = <<10*10=100>>100 bottles. Machine c can put caps on 10 + 5 = <<10+5=15>>15 bottles in 1 minute. So in 10 minutes, machine C can put caps on 15 x 10 = <<15*10=150>>150 bottles. Therefore, the three machines can put caps on 120 + 100 + 150 = <<120+100+150=370>>370 bottles in 10 minutes. #### 370 John has a sneezing fit for 2 minutes. He sneezes once every 3 seconds. How many times does he sneeze? He was sneezing for 2*60=<<2*60=120>>120 seconds So he sneezed 120/3=<<120/3=40>>40 times #### 40 Janet is considering two options to retile her bathroom. The turquoise tiles cost $13/tile and the purple tiles cost $11/tile. If Janet needs to tile two walls that measure 5 feet by 8 feet and 7 feet by 8 feet, and each square foot of wall takes 4 tiles, how much will Janet save by buying the purple tiles instead of the turquoise ones? First find the area of the first wall: 5 feet * 8 feet = <<5*8=40>>40 square feet Then find the area of the second wall: 7 feet * 8 feet = <<7*8=56>>56 square feet Then add the areas of the two walls to find the total area: 40 square feet + 56 square feet = <<40+56=96>>96 square feet Then divide the number of square feet by the number of tiles per square foot to find the total number of tiles needed: 96 square feet * 4 tiles/square foot = <<96*4=384>>384 tiles Then find the difference in cost per tile: $13/tile - $11/tile = $<<13-11=2>>2/tile Then multiply the number of tiles by the cost difference per tile to find the total cost difference: $2/tile * 384 tiles = $<<2*384=768>>768 #### 768 Jason is planning a parking garage that will have 12 floors. Every 3rd floor has a gate where drivers have to show ID, which takes two minutes. To get from one floor to the next, drivers have to drive 800 feet at 10 feet/second. How long, in seconds, does it take to get to the bottom of the garage from the top? First find the total number of gates someone has to pass through: 12 floors / 3 floors/gate = <<12/3=4>>4 gates Then find the total time someone spends waiting at the gates: 4 gates * 2 minutes/gate = <<4*2=8>>8 minutes Then convert that time to seconds: 8 minutes * 60 seconds/minute = <<8*60=480>>480 seconds Then find the time to drive through one floor in seconds: 800 feet / 10 feet/second = <<800/10=80>>80 seconds Then multiply the time per floor by the number of floors to find the total driving time: 80 seconds/floor * 12 floors = 960 seconds Then add the total driving time to the total time waiting at the gates to find the total time to get to the bottom: 960 seconds + 480 seconds = <<960+480=1440>>1440 seconds #### 1440 On Black Friday a popular electronics store sells 327 televisions. This is 50 more than they sold last Black Friday. If this sales trend continues and they sell 50 more televisions each year for three years, how many televisions will they sell on Black Friday three years from now? The electronics store sold 327 televisions this Black Friday and might sell 50 more televisions the next year, for a total of 327 + 50 = <<327+50=377>>377 televisions. The second year they might sell 377 + 50 = <<377+50=427>>427 televisions. The third year, if they continue to sell 50 more televisions than they did the previous year, they will sell 427 + 50 televisions = <<427+50=477>>477 televisions on the Black Friday three years from now. #### 477 One of the activities in Grade 6 PE class is to get the average weight of the students from each group. In one of the groups, the average weight of five girls is 45 kg while the average weight of five boys is 55 kg. What is the average weight of the ten students from that group? The sum of the weights of the five girls is 45 kg x 5 = <<45*5=225>>225 kg. The sum of the weights of the five boys is 55 kg x 5 = <<55*5=275>>275 kg. The sum of the weights of the ten students is 225 kg + 275 kg = <<225+275=500>>500 kg. Hence, the average weight of those ten students is 500 kg/10 = <<500/10=50>>50 kg. #### 50 Bobby received his weekly paycheck today. Although his salary is $450 per week, his actual paycheck is reduced in size because there are some taxes, insurance payments, and fees removed from his pay before his employer writes the check. If the government removes 1/3 in federal taxes and 8% in state taxes, the health insurance removes $50 per week, the life insurance removes $20 per week, and the city charges him a fee of $10 per week for parking, then what is the final amount left in Bobby's paycheck, in dollars? The federal government takes out 1/3*450=<<1/3*450=150>>150 dollars. The state takes out 0.08*450=<<0.08*450=36>>36 dollars. Then the final amount remaining after all the deductions are removed is 450-150-36-50-20-10=<<450-150-36-50-20-10=184>>184 dollars #### 184 Colleen is making a batch of 48 cookies. She's going to add 108 chocolate chips and one-third as many M&Ms to the whole batch. What are the average number of chocolate pieces in each cookie? First find the total number of M&Ms: 108 chocolate chips / 3 chocolate chips / 1 M&M = <<108/3/1=36>>36 M&Ms Then add that number to the number of chocolate chips to find the total number of pieces of chocolate: 36 M&Ms + 108 chocolate chips = <<36+108=144>>144 chocolates Then divide the total number of chocolates by the number of cookies to find the number of pieces of chocolate per cookie: 144 chocolates / 48 cookies = <<144/48=3>>3 chocolates/cookie #### 3 Rudy runs 5 miles at a rate of 10 minutes per mile. Later he runs 4 miles at a rate of 9.5 minutes per mile. What is the total length of time that Rudy runs? Rudy first runs for 5 * 10 = <<5*10=50>>50 minutes. Then Rudy runs for 4 * 9.5 = <<4*9.5=38>>38 minutes. Rudy runs for a total length of 50 + 38 = <<50+38=88>>88 minutes #### 88 June liked to collect cat stickers. She had a total of 76 in her collection. Her twin sister Bonnie also collected cat stickers and had 63 in her collection. For their birthday, their grandparents gave them 25 cat stickers each. How many combined stickers did they have? June had 76 stickers and was given 25 from her grandparents so she had 76 + 25 = <<76+25=101>>101 stickers Bonnie had 63 stickers and was given 25 from her grandparents so she had 63 + 25 = <<63+25=88>>88 stickers June had 101 stickers and Bonnie had 88 stickers so together, they had 101 + 88 = <<101+88=189>>189 stickers #### 189