68% of all pies are eaten with forks. If there are 2000 pies of all kinds, how many of the pies are not eaten with forks?

If there are 2000 pies of all kinds, and 68% of all pies are eaten with forks, there are 68/100*2000=

<<68/100*2000=1360>>1360 pies eaten with forks. The number of pies that are not eaten with pie is 2000-1360=<<2000-1360=640>>640 #### 640 Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if 1 of them falls off the slice when Lard picks it up? First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 1*2= <<1*2=2>>2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 2*2= <<2*2=4>>4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices, as the pepperoni was spread evenly. We find there are 40/4= <<40/4=10>>10 slices of pepperoni per pizza slice. Since 1 slice of pepperoni fell off Jelly's slice, this means there are 10-1=<<10-1=9>>9 slices left on her slice. #### 9 Ali is collecting bottle caps. He has 125 bottle caps. He has red ones and green ones. If he has 50 red caps, what percentage of caps are green? He has 75 green caps because 125 - 50 = <<125-50=75>>75 The proportion of caps that are green is .6 because 75 / 125 = <<75/125=.6>>.6 The percentage that are green is 60 because .6 x 100% = <<60=60>>60% #### 60 John ends up damaging his hearing aids. He needs to replace both of them. They cost $2500 each. Insurance covers 80% of the cost. How much does he personally have to pay? The cost of the hearing aids is $2500 * 2 = $<<2500*2=5000>>5000 So insurance covers $5000 * .8 = $<<5000*.8=4000>>4000 That means it cost him $5000 - $4000 = $<<5000-4000=1000>>1000 #### 1000 Maisie and Donna dropped off flyers for a neighborhood clean-up day at houses around their neighborhood. Maisie walked down the shorter left street and dropped off 33 flyers. Donna took the long right street on her bicycle and dropped off five more than twice as many flyers as Maisie. How many flyers did Donna drop off? Twice as many flyers as Maisie is 33 * 2 = <<33*2=66>>66 flyers. Donna dropped off five more than that, so she dropped off 66 + 5 = <<66+5=71>>71 flyers. #### 71 Connie is trying to remember when her grandmother was born. She knows her grandmother's older brother was born in 1932, her older sister was born in 1936, and the gap between her grandmother and her sister is twice the gap between the older brother and the older sister. What year was Connie's grandma born? First find the age gap between the older brother and sister by subtracting the earlier birth year from the later: 1936 - 1932 = <<1936-1932=4>>4 years Then double the age gap to find how many years passed between the sister's birth and the grandmother's: 4 years * 2 = <<4*2=8>>8 years Then add 8 years to the older sister's birth year to find the grandmother's birth year: 1936 + 8 = <<1936+8=1944>>1944 #### 1944 Kris is blowing u balloons for her sister’s party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother’s help to increase the number of balloons. Kris can blow up a total of 2 balloon per minute, and her brother works twice as fast. After 15 minutes, her brother doubles his speed and works at this new speed for the remaining 15 minutes. After the 30 minutes, how many balloons, in total, did Kris and her brother blow up? Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = <<2*30=60>>60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute * 2 = <<2*2=4>>4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute * 15 minutes = <<4*15=60>>60 balloons. In the second 15 minutes, he is working at double the rate he did previously, so he blows up 4 balloons per minute * 2 = <<4*2=8>>8 balloons per minute. In the second 15 minutes, Kris’ brother therefore blows up 8 balloons per minute * 15 minutes = <<8*15=120>>120 balloons. Throughout the 30 minutes, he has blown up a total of 60 + 120 = <<60+120=180>>180 balloons. Kris and her brother therefore blew up a total of 60 balloons from Kris + 180 balloons from Kris’ brother = <<60+180=240>>240 balloons. #### 240 Mark was caught speeding and the judge wants to make an example out of him. The base fine for speeding is $50 but additional penalties apply in this case. The fine is increased by $2 for every mile per hour Mark was going over the speed limit. He was going 75 miles per hour in a 30 mile per hour zone. The fine is also doubled because he was in a school zone. Finally, the judge makes Mark pay $300 in court costs and he also has to pay his lawyer $80/hour for three hours of work. How much does Mark owe for this speeding ticket? First figure out how many miles over the speed limit Mark was going: 75 mph - 30 mph = <<75-30=45>>45 mph Now figure out how much the per-mile fine is: $2/mph * 45 mph = $<<2*45=90>>90 Now add that amount to the base fine: $90 + $50 = $<<90+50=140>>140 Now double that amount for being in a school zone: $140 * 2 = $<<140*2=280>>280 Now figure out how much Mark owes his lawyer: $80/hour * 3 hours = $<<80*3=240>>240 Now add the court costs, lawyer fees and fine: $240 + $300 + $280 = $<<240+300+280=820>>820 #### 820 40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are 50%. Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria? First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60% The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30% Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15% #### 15 Harry is a professional dog-walker. He is paid to go on long walks with dogs while their families are away from home. On Monday, Wednesday, and Friday, Harry walks 7 dogs. On Tuesday, he walks 12 dogs. And on Thursday he walks 9 dogs. He is paid $5 for each dog that he walks. How many dollars does Harry earn in a week? Monday, Wednesday, and Friday, Harry walks a total of 3 * 7 = <<3*7=21>>21 dogs. Thus, in a week he walks 21 + 12 + 9 = <<21+12+9=42>>42 dogs. At a rate of $5 per dog, Harry ears $5 * 42 = $<<5*42=210>>210 per week. #### 210