Miss Smith is teaching second period English and is shocked at how small the class seems. There are 6 tables in the classroom with 3 students currently sitting at each table. Sally said 3 girls went to the bathroom, and three times more students went to the canteen. Elliott said that 2 groups of students have recently been added to their class, and each group has 4 students in it. None of these students are in the class right now. Lucas pointed out that a few foreign exchange students have joined the class; 3 from Germany, 3 from France, and 3 from Norway. These students are also missing. How many students are supposed to be in the class?

There are currently 3 * 6 =

<<3*6=18>>18 students sitting in the classroom. There were 3 * 3 = <<3*3=9>>9 students who went to the canteen. Sally has therefore noticed 3 + 9 = <<3+9=12>>12 students missing from the class. Elliott said that 2 groups of students have joined the class, so there are another 2 * 4 = <<2*4=8>>8 students who are not in the classroom. Lucas said that there are 3 + 3 + 3 = <<3+3+3=9>>9 foreign exchange students who are not in the classroom. Therefore, there should be 18 + 12 + 8 + 9 = <<18+12+8+9=47>>47 students. #### 47 For homework, Brooke has 15 math problems, 6 social studies problems, and 10 science problems. He can answer each math problem for 2 minutes while answering each social studies problem takes him 30 seconds. If he can answer each science problem in 1.5 minutes, how long will it take Brooke to answer all his homework? Brooke will take 15 x 2 = <<15*2=30>>30 minutes to answer all math problems. It will take him 6 x 30 seconds = <<6*30=180>>180 seconds to answer all social studies problems. In minutes, this is equal to 180/60 = <<180/60=3>>3 minutes. It will take him 10 x 1.5 minutes = <<10*1.5=15>>15 minutes to answer all science problems. Therefore, Brooke will take 30 + 3 + 15 = <<30+3+15=48>>48 minutes to finish his homework. #### 48 Pablo made 4 stacks of toy blocks. The first stack was 5 blocks tall. The second stack was 2 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 5 blocks taller than the third stack. How many toy blocks did Pablo use in all? The number of blocks in the second stack is 5 + 2 = <<5+2=7>>7. The number of blocks in the third stack is 7 − 5 = 2. The number of blocks in the last stack is 2 + 5 = <<2+5=7>>7. Pablo used 5 + 7 + 2 + 7 = <<5+7+2+7=21>>21 toy blocks in all. #### 21 John and Sam were hungry so they ordered an extra-large pizza that was pre-sliced into 12 pieces. John ate 3 slices while Sam ate twice the amount that John ate. How many slices of pizza were left? Sam had twice the amount of John so Sam ate 3*2 = <<3*2=6>>6 slices Together, they ate 3+6 = <<3+6=9>>9 slices 1 pizza has 12 slices. 9 slices were eaten so 12-9= <<12-9=3>>3 slices left. #### 3 A Burmese python that was 1.4 meters long swallowed a 50-centimeter alligator. After one week, the alligator was completely digested. If this snake continues to eat 50-centimeter-long alligators at a constant rate of one alligator per week, what is the maximum number of alligators that the snake can eat in 616 days? Since one week is 7 days. 616 days is 616/7=<<616/7=88>>88 weeks. Since the python eats 1 alligator per week, in 88 weeks it can eat 88/1=<<88/1=88>>88 alligators. #### 88 In 2010 the Chicago Bulls won 70 games. The Miami Heat won 5 more games than the Chicago Bulls. How many games did the Bulls and the Heat win together? The Heat won 5 more games than the Bulls so they won 70 + 5 = <<5+70=75>>75 games. The total games won together is 70+75 = <<70+75=145>>145 games. #### 145 Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes? Ken paints 3 tiles/minute + 2 tiles/minute = <<3+2=5>>5 tiles/minute. Laura can paint 5 tiles/minute x 2 = <<5*2=10>>10 tiles/minute. Kim can paint 10 tiles/minute - 3 tiles/minute = <<10-3=7>>7 tiles/minute. All 4 can paint 3 tiles/minute + 5 tiles/minute + 10 tiles/minute + 7 tiles/minute = 25 tiles/minute. In 15 minutes, they can paint 15 minutes x 25 tiles/minute = <<15*25=375>>375 tiles. #### 375 Tom can type 90 words a minute. A page is 450 words. How long would it take him to type out 10 pages? He can type out 1 page in 450/90=<<450/90=5>>5 minutes So it would take 5*10=<<5*10=50>>50 minutes #### 50 A particular train has some passenger cars and a number of cargo cars equal to half the number of passenger cars plus three. If the total number of cars is 71, counting the engine and caboose, how many passenger cars are in the train? First find the number of cars not counting the engine and caboose: 71 cars - 2 cars = <<71-2=69>>69 cars Let p be the number of passenger cars and c be the number of cargo cars. We know that p + c = 69 and c = p/2 + 3 Substituting the second equation into the first, we get p + p/2 + 3 = 69 Combining like terms, we get 1.5p + 3 = 69 Subtracting 3 from both sides, we get 1.5p = 66 Dividing both sides by 1.5, we get p = 44 #### 44 Kelly puts string cheeses in her kids lunches 5 days per week. Her oldest wants 2 every day and her youngest will only eat 1. The packages come with 30 string cheeses per pack. How many packages of string cheese will Kelly need to fill her kids lunches for 4 weeks? Her oldest wants 2 strings cheeses a day for 5 days so 2*5 = <<2*5=10>>10 string cheeses Her youngest wants 1 string cheese a day for 5 days so 1*5 = <<1*5=5>>5 string cheeses Together they want 10+5= <<10+5=15>>15 string cheeses a week Over 4 weeks, her kids will eat 15 string cheeses so 4*15 = <<15*4=60>>60 string cheeses The bags have 30 per pack and she needs 60 so 60/30 = <<60/30=2>>2 packs of string cheese #### 2