Sally was at a self-serve candy shop where you scoop candy from the bins and pay based on the weight. She scoops 32 cherry sours into a bag. Then she gets a scoop of lemon sours, and the ratio of cherry sours to lemon sours is 4:5. Then she gets a scoop of orange sours, and they make up 25% of the sours in the bag. How many sours does she have in total?

She has 4 cherry sours for every 5 lemon sours, so the number of lemon sours = (5 lemon sours* 32 cherry sours) / 4 cherry sours =

<<5*32/4=40>>40 lemon sours. This puts the total at 32 cherry sours + 40 lemon sours = <<32+40=72>>72 sours. After the orange sours are added, they make up 25% of the total sours. Let x = the total number of sours. x - 0.25*x = 72 sours => 0.75*x = 72 sours => x = 72 sours / 0.75 = <<72/0.75=96>>96 sours total. #### 96 Darwin has 600$. He spent 1/3 of it on gas for his car, and 1/4 of what was left on food. How much money did he have left? 600/3=<<600/3=200>>200$ for gas After buying gas, Darwin has 600-200=<<600-200=400>>400$ left 400/4=<<400/4=100>>100$ on food Darwin has 400-100=<<400-100=300>>300$ left #### 300 Chris buys 2 and a half dozen donuts on his way to work to share with his co-workers. While driving, he eats 10% of the donuts. Once inside, he grabs another 4 donuts for his afternoon snack. How many donuts are left for his co-workers? He buys 2 and a half dozen donuts so that's 2.5*12 = <<2.5*12=30>>30 donuts He eats 10% of the donuts on his way to work so he eats .10*30 = <<10*.01*30=3>>3 donuts He bought 30 donuts and ate 3 so that leaves 30-3 = <<30-3=27>>27 donuts Once inside, he grabs another 4 donuts of his afternoon snack so that leaves 27-4 = <<27-4=23>>23 donuts for his co-workers #### 23 A group of security guards were hired for the night shift at a factory. The four guards agreed to a rotating schedule to cover the nine hours of the night shift. The first guard would take three hours since they were still awake, the last guard would wake up early and take two hours, and the middle two guards would split the remaining hours. How many hours will each middle guard take? The first and last guard will take 3 + 2 = <<3+2=5>>5 hours of the night shift. There are 9 hours in the night shift, so the middle two guards will cover 9 - 5 = <<9-5=4>>4 hours. Each middle guard will take 4 / 2 = <<4/2=2>>2 hours. #### 2 Emily goes fishing and has a very busy day. She catches 4 trout, 3 catfish, and 5 bluegills. If the trout weigh 2 pounds each, the catfish weigh 1.5 pounds each, and the bluegills weigh 2.5 pounds each, how many total pounds of fish did she catch? She caught 8 pounds of catfish because 4 x 2 = <<4*2=8>>8 She caught 4.5 pounds of catfish because 3 x 1.5 = <<3*1.5=4.5>>4.5 She caught 7.5 pounds of bluegill because 5 x 2.5 = 12.5 She caught 20 pounds of fish because 8 + 4.5 + 12.5 = <<8+4.5+12.5=25>>25 #### 25 Ahmed and Emily are having a contest to see who can get the best grade in the class. There have been 9 assignments and Ahmed has a 91 in the class. Emily has a 92. The final assignment is worth the same amount as all the other assignments. Emily got a 90 on the final assignment. What is the minimum grade Ahmed needs to get to beat Emily if all grades are whole numbers? Ahmed has scored 819 total points in the class thus far because 9 x 91 = <<9*91=819>>819 Emily had scored 828 total points before the final assignments because 9 x 92 = <<9*92=828>>828 She scored 918 total points after the final assignment because 828 + 90 = <<828+90=918>>918 Ahmed needs to score a 99 to tie Emily for the semester because 918 - 819 = <<918-819=99>>99 Ahmed needs to score a 100 to beat Emily for the semester because 99 + 1 = <<99+1=100>>100 #### 100 Debora has 12 more dresses than Melissa. Melissa has half the number of dresses Emily has. If Emily has 16 dresses, how many dresses do the three of them have in total? Melissa has 16 / 2 = <<16/2=8>>8 dresses. Debora has 8 + 12 = <<8+12=20>>20 dresses. In total, they have 16 + 8 + 20 = <<16+8+20=44>>44 dresses. #### 44 Fran is in charge of counting votes for the book club's next book, but she always cheats so her favorite gets picked. Originally, there were 10 votes for Game of Thrones, 12 votes for Twilight, and 20 votes for The Art of the Deal. Fran throws away 80% of the votes for The Art of the Deal and half the votes for Twilight. What percentage of the altered votes were for Game of Thrones? First find the total number of The Art of the Deal votes Fran throws away: 80% * 20 votes = <<80*.01*20=16>>16 votes Then subtract these votes from the total number of The Art of the Deal votes to find the altered number: 20 votes - 16 votes = <<20-16=4>>4 votes Then divide the total number Twilight votes by 2 to find the altered number of votes: 12 votes / 2 = <<12/2=6>>6 votes Then add the altered number of votes for each book to find the total altered number of votes: 6 votes + 4 votes + 10 votes = <<6+4+10=20>>20 votes Then divide the number of votes for Game of Thrones by the total altered number of votes and multiply by 100% to express the answer as a percentage: 10 votes / 20 votes * 100% = 50% #### 50 At the pet store, there are 7 puppies and 6 kittens for sale. Two puppies and three kittens are sold. How many pets remain at the store? There are 7 + 6 = <<7+6=13>>13 pets. They sell 2 + 3 = <<2+3=5>>5 pets. After the sales, there are 13 - 5 = <<13-5=8>>8 pets. #### 8 Jerry can run from his house to his school and back in the time it takes his brother Carson to run to the school. If it takes Jerry 15 minutes to make a one-way trip from his house to his school and the school is 4 miles away, how fast does Carson run in miles per hour? We know that Carson takes twice as long as Jerry to get to the school, so we can find the time it takes him by multiplying Jerry's time by 2: 15 minutes * 2 = <<15*2=30>>30 minutes Then convert that time to house by dividing by 60 minutes/hour = 30 minutes / 60 minutes/hour = <<30/60=.5>>.5 hour Then divide the distance Carson runs by the time it takes him to run it to find his speed: 4 miles / 0.5 hours = <<4/0.5=8>>8 miles/hour #### 8