A large gathering occurred at the town hall with 200 people participating. 100 people decided to have a snack, and then 20 new outsiders joined in to have a snack. Half of these snack eaters got full and left. 10 new outsiders came to have snacks, too. 30 more snack eaters got their fill and left. Then half of the remaining snack eaters left later on. How many snack eaters are left?

At the meeting, 200-100=

<<200-100=100>>100 people decided to have a snack. 20 new people came in to snack and the area had 100+20=<<100+20=120>>120 of them eating. 120/2=<<120/2=60>>60 people got full and left. 10 more new people came to join in the snacking so 60+10=<<10+60=70>>70 people were eating. After 30 people left, 70-30=<<70-30=40>>40 people who were eating remained. In the end, only 40/2=<<40/2=20>>20 kept eating. #### 20 Alvin is 30 years old and Simon is 5 years away from being 1/2 the age of Alvin. How old is Simon? 1/2 the age of Alvin who is 30 is 30/2 = <<30/2=15>>15 Simon is 5 years away from being half the age of Alvin so Simon is 15-5 = <<5+5=10>>10 years old #### 10 Donny went to the gas station to gas up his tank. He knows his truck holds 150 liters of fuel. His truck already contained 38 liters. How much change will he get from $350 if each liter of fuel costs $3? He needs 150 - 38 = <<150-38=112>>112 liters more to have a full tank of gas. Donny will pay 112 x $3 = $<<112*3=336>>336 for a full tank of gas. His will get $350 - $336 = $<<350-336=14>>14 change." #### 14 Frank is making hamburgers and he wants to sell them to make $50. Frank is selling each hamburger for $5 and 2 people purchased 4 and another 2 customers purchased 2 hamburgers. How many more hamburgers does Frank need to sell to make $50? Frank sold 4 hamburgers and then sold 2 more, so all together Frank already sold 4+2= <<4+2=6>>6 hamburgers If each hamburger is $5 and he sold 6 hamburgers already, Frank has made 5*6= <<5*6=30>>30 dollars. Frank wants to make $50 and has already made $30, so Frank still needs 50-30= <<50-30=20>>20 dollars. Since he needs $20 and each hamburger is $5, Frank needs to sell 20/5= <<20/5=4>>4 more hamburgers #### 4 The total cost of Olivia’s groceries was $42. The bananas cost her $12, the bread cost her $9, and the milk cost her $7. The only other groceries she bought were apples. In dollars, how much money did the apples cost her? The combined cost of the bananas, bread, and milk was 12 + 9 + 7 = $<<12+9+7=28>>28. The difference between this and the total is the cost of the apples, which must have therefore cost Olivia 42 – 28 = $<<42-28=14>>14. #### 14 Kiki likes to spend her money on hats and scarves. When she buys twice as many hats as scarves, she spends 60% of her money on hats and the rest on scarves. If she currently has $90, how many scarves will she buy if they are sold at $2 each? Kiki spends 60/100*$90=$<<60/100*90=54>>54 of her money on hats. The amount she spends on buying scarves is $90-$54=$<<90-54=36>>36 If each scarf is sold at $2, Kiki will buy $36/$2=<<36/2=18>>18 scarves. #### 18 Peggy buys 3 folders, one each in the colors red, green, and blue. She puts ten sheets of paper in each folder, and then, she puts star-shaped stickers on each sheet of paper. In the red folder, each sheet of paper gets 3 stickers. In the green folder, each sheet of paper gets 2 stickers, and in the blue folder, each sheet gets 1 sticker. What is the total number of stickers Peggy uses? For the red folder, 10 sheets of paper get 3 stickers each, for a total of 10*3=<<10*3=30>>30 stickers. For the green folder, 10 sheets of paper get 2 stickers each, for a total of 10*2=<<10*2=20>>20 stickers. For the blue folder, 10 sheets of paper get 1 sticker each, for a total of 10*1=<<10*1=10>>10 stickers. In total, she uses 30+20+10=<<30+20+10=60>>60 stickers. #### 60 Max has a collection of stamps in three colors: 20 red stamps, 80 blue stamps and 7 yellow ones. He is trying to sell the whole collection. He already sold 20 red stamps for the price of $1.1 for each stamp and 80 blue stamps for the price of $0.8 for each stamp. What price did he need to set for each yellow stamp to be able to earn the total of $100 from the whole sale? Max earned 20 * 1.1 = $<<20*1.1=22>>22 on red stamps. From the blue stamps Max got 80 * 0.8 = $<<80*0.8=64>>64. His earnings so far are 22 + 64 = $<<22+64=86>>86. To earn $100 he needs 100 – 86 = $<<100-86=14>>14 more. Max has 7 yellow stamps, so he needs to set the price at 14 / 7 = $<<14/7=2>>2. #### 2 Reuben opens a sandwich shop selling his namesake sandwich and pastrami sandwiches. Pastrami cost $2 more than the Reuben. He sells 10 Reubens and 5 Pastrami sandwiches and earns $55. How much does a pastrami sandwich cost? If X = "Price of Reuben" We know that 10(X) + 5(X+2) = 55 Therefore 10X + 5X +10 =55 Therefore 15X = 45 Therefore, the price of a Reuben is $3 because 45 / 15 =<<45/15=3>>3 The price of pastrami is $5 because 3 + 2 = <<5=5>>5 #### 5 3 cloves of garlic can repel 2 vampires, 8 vampire bats or 3 wights. How many cloves of garlic are needed to repel 30 vampires, 12 wights and 40 vampire bats? First find the total number of cloves needed to repel the vampires: 30 vampires * 3 cloves / 2 vampires = <<30*3/2=45>>45 cloves Then find the total number of cloves needed to repel the wights: 12 wights * 3 cloves / 3 wights = <<12*3/3=12>>12 cloves Then find the total number of cloves needed to repel the vampire bats: 40 vampire bats * 3 cloves / 8 vampire bats = <<40*3/8=15>>15 cloves Then add up these three amounts to find the total number of cloves needed: 45 cloves + 12 cloves + 15 cloves = <<45+12+15=72>>72 cloves #### 72