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?

How many miles per hour was Mark going over the speed limit? ** First figure out how many miles over the speed limit Mark was going: 75 mph - 30 mph =

<<75-30=45>>45 mph How much is the per-mile fine? ** Now figure out how much the per-mile fine is: $2/mph * 45 mph = $<<2*45=90>>90 How much is the total fine? ** Now add that amount to the base fine: $90 + $50 = $<<90+50=140>>140 How much is the fine doubled? ** Now double that amount for being in a school zone: $140 * 2 = $<<140*2=280>>280 How much did Mark owe his lawyer? ** Now figure out how much Mark owes his lawyer: $80/hour * 3 hours = $<<80*3=240>>240 How much did Mark owe? ** 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? How many mosquitos are infected? ** First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60% What is the chance of getting infected? ** The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30% What is the chance of getting infected after getting the vaccine? ** 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? How many dogs does Harry walk on Monday, Wednesday, and Friday? ** Monday, Wednesday, and Friday, Harry walks a total of 3 * 7 = <<3*7=21>>21 dogs. How many dogs does Harry walk in a week? ** Thus, in a week he walks 21 + 12 + 9 = <<21+12+9=42>>42 dogs. How much money does Harry earn in a week? ** At a rate of $5 per dog, Harry ears $5 * 42 = $<<5*42=210>>210 per week. #### 210 If seven more rabbits are added to the thirteen in the cage, the number of rabbits in the cage will be 1/3 the number of rabbits Jasper saw in the park today. How many rabbits did Jasper see in the park today? How many rabbits are in the cage after the seven more are added? ** If seven more rabbits are added to the thirteen in the cage, the total number becomes 7+13 = <<7+13=20>>20 How many rabbits did Jasper see in the park today? ** Triple the number of rabbits in the cage is 3*20 = <<3*20=60>>60, the same as the number of rabbits that Jasper saw at the park today. #### 60 There are 36 seagulls on the roof of the Taco Bell. Kids scare 1/4 of them away by throwing stones, and 1/3 of the remaining birds decide to fly to McDonald's parking lot. How many seagulls are left? How many seagulls are scared away by kids? ** First find how many birds get scared away by kids: 36 seagulls / 4 = <<36/4=9>>9 seagulls How many seagulls are left? ** Then subtract that number from the starting total: 36 seagulls - 9 seagulls = <<36-9=27>>27 seagulls How many seagulls fly to McDonald's? ** Then divide that number by 3: 27 seagulls / 3 = <<27/3=9>>9 seagulls How many seagulls are left? ** Then subtract that number from the 27 seagulls to find the final number of seagulls: 27 seagulls - 9 seagulls = <<27-9=18>>18 seagulls #### 18 Anne's female cat weighs 2 kilograms. Her male cat is two times heavier. If Anne is going to carry both of them, how many kilograms is she carrying? How much does Anne's male cat weigh? ** Anne's male cat weighs 2 x 2 = <<2*2=4>>4 kilograms. How many kilograms is Anne carrying? ** Thus, Anne is carrying a total of 2 + 4 = <<2+4=6>>6 kilograms when she carries both of them. #### 6 Abigail is trying a new recipe for a cold drink. It uses 1/4 of a cup of iced tea and 1 and 1/4 of a cup of lemonade to make one drink. If she fills a pitcher with 18 total cups of this drink, how many cups of lemonade are in the pitcher? How many cups are in each drink? ** Each drink uses 1.5 cups because 1/4 cup + 1 and 1/4 cup = <<1.5=1.5>>1.5 cups How many drinks are in the pitcher? ** The pitcher contains 12 total drinks because 18 / 1.5 = <<18/1.5=12>>12 How many cups of lemonade are in the pitcher? ** There are 15 cups of lemonade in the pitcher because 12 x 1 and 1/4 = 15 #### 15 Georgia has 25 pieces of stationery while Lorene has three times as many pieces of stationery as Georgia. How many fewer pieces of stationery does Georgia have than Lorene? How many pieces of stationery does Lorene have? ** Lorene has 25 x 3 = <<25*3=75>>75 pieces of stationery. How many fewer pieces of stationery does Georgia have than Lorene? ** Thus, Georgia has 75 - 25 = <<75-25=50>>50 fewer pieces of stationery than Lorene. #### 50 A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for? How many trash cans has the town paid for at the back of stores? ** At the back of stores, the town has paid for 14 trash cans on the streets * 2 = <<14*2=28>>28 trash cans. How many trash cans has the town paid for? ** The town has therefore added 14 trash cans on the streets + 28 trash cans at the back of stores = <<14+28=42>>42 trash cans. #### 42 Jessica has one hour to take an exam. She has answered 16 out of 80 questions. She has used 12 minutes of her time. If she keeps up this same pace, how many minutes will be left when she finishes the exam? How many minutes does it take Jessica to answer a question? ** She takes .75 minutes to answer a question because 12 / 16 = <<12/16=.75>>.75 How many minutes will it take Jessica to take the entire exam? ** It will take her 60 minutes to take the entire exam because 80 x .75 = <<80*.75=60>>60 How many minutes will be left when she finishes the exam? ** She has 0 minutes left when she is done because 60 - 60 = <<60-60=0>>0 #### 0