James won a money prize at a charity raffle. He donated half of his winnings back to the charity, then spent $2 on a hot dog to celebrate his win. He had $55 left over. How many dollars did he win?
Let W be equal to James’s raffle winnings.
He donated half his winnings, so he had W - W/2 = W/2 left.
He then spent $2 on a hot dog, so W/2 - 2 = $55.
Thus, half his winnings is W/2 = 55 + 2 =
<<55+2=57>>57. James won W = 57 * 2 = $<<57*2=114>>114. #### 114 Jenny is trying to convince her cat to walk on a leash. The cat spends twenty minutes resisting. Then Jenny coaxes the cat to walk 64 feet at a rate of 8 feet/minute. How many minutes does this whole process take? First find how many minutes the cat spends walking: 64 feet / 8 feet/minute = <<64/8=8>>8 minutes Then add this to the time the cat spent resisting to find the total amount of time: 8 minutes + 20 minutes = <<8+20=28>>28 minutes #### 28 Dane’s two daughters need to plant 5 flowers each to grow a garden. As the days passed, the flowers grew into 20 more but 10 of them died. Dane’s daughters harvested the flowers and split them between 5 different baskets. How many flowers ended up in each basket? Two daughters planted 5*2=<<5*2=10>>10 flowers. The flowers grew into 10+20=<<10+20=30>>30 total. 30-10=<<30-10=20>>20 flowers were left after 10 died. The daughters put 20/5=<<20/5=4>>4 flowers in each basket. #### 4 Lexie is 6 years older than her brother and her sister is twice her age. If Lexie is 8, what is the age difference between her brother and her sister? Lexie's brother is 8 - 6 = <<8-6=2>>2 years old. Her sister is 8 x 2 = <<8*2=16>>16 years old. The age difference between her brother and sister is 16 - 2 = <<16-2=14>>14 years. #### 14 Mark spent 220 dollars to fix his car. It needed two parts that cost 20 dollars each, and labor cost .5 dollars a minute. How many hours did the mechanic work? Labor cost is .5*60=<<.5*60=30>>30 dollars per hour The cost for parts is 20*2=$<<20*2=40>>40 The total cost for labor is 220-40=$<<220-40=180>>180 He spent 180/30=<<180/30=6>>6 hours on labor. #### 6 A pen is longer than the rubber by 3 centimeters, and shorter than the pencil by 2 centimeters. Considering the pencil is 12 centimeters long, what is the total length of the rubber, the pen, and the pencil altogether? The pen is shorter than the pencil by 2 centimeters, so it's 12 - 2 = <<12-2=10>>10 centimeters long. That means the rubber is 10 - 3 = <<10-3=7>>7 centimeters long So all accessories are 7 + 10 + 12 = <<7+10+12=29>>29 centimeters long altogether. #### 29 There are 20 bicycles, 10 cars and 5 motorcycles in the garage at Connor's house. How many wheels are there in the garage? The number of bicycle wheels is 2 × 20 = <<2*20=40>>40. The number of car wheels is 4 × 10 = <<4*10=40>>40. The number of motorcycle wheels is 2 × 5 = <<2*5=10>>10. There are 40 + 40 + 10 = 90 wheels in the garage. #### 90 There are 350 trees in the park, 70% of which are pine trees. How many are not pine trees? There are 350 x 70/100 = <<350*70/100=245>>245 pine trees. Therefore, 350 - 245 = <<350-245=105>>105 trees are not pine trees. #### 105 Andrew holds a bake sale to fundraise for charity. The bake sale earns a total of $400. Andrew keeps $100 to cover the cost of ingredients. He donates half of the remaining total to the local homeless shelter, and the other half to the local food bank. Andrew also decides to donate $10 from his own piggy bank to the local homeless shelter. How much money in total does Andrew donate to the homeless shelter? After paying off the cost of ingredients, Andrew has $400 - $100 = $<<400-100=300>>300 Since half of the money goes to the homeless shelter, the shelter receives $300 / 2 = $<<300/2=150>>150 After contributing some of his own money, Andrew donates $150 + $10 = $<<150+10=160>>160 to the shelter. #### 160 Alan went to the market and bought 20 eggs at the price of $2 per egg. He bought 6 chickens for the price of $8 per chicken. How much money did Alan spend at the market? The cost of 20 eggs is 20 * $2 = $<<20*2=40>>40. The cost of 6 chickens is 6 * $8 = $<<6*8=48>>48. The total amount Alan spent at the market is $40 + $48 = $<<40+48=88>>88. #### 88