Uncle Bradley has a $1000 bill that he wants to change into smaller bills so he could give them to his nieces and nephews. He wants to change 3/10 of the money into $50 bills while the rest into $100 bills. How many pieces of bills will Uncle Bradley have in all?

There will be $1000 x 3/10 = $

<<1000*3/10=300>>300 worth of money that will be changed into $50 bills. Uncle Bradley will have $300/$50 = <<300/50=6>>6 pieces of $50 bills. He will change $1000 - $300 = $<<1000-300=700>>700 worth of money into $100 bills. So there will be $700/$100 = <<700/100=7>>7 pieces of $100 bills. Thus, there will be a total of 6 + 7 = <<6+7=13>>13 pieces of $50 and $100 bills in all. #### 13 Roosevelt High school plays a basketball tournament with Greendale High school. Roosevelt high school scores 30 points in the first game, half as much in the second game, and triple as much as the second game in the third game. At the end of the tournament, Roosevelt high school receives 50 bonus points and Greendale high school has 10 points less than Roosevelt high school. How many points does Greendale high school have? The points Roosevelt high school has for the second game are 30/2=<<30/2=15>>15 points. The points Roosevelt high school has for the third game are 15*3=<<15*3=45>>45 points. The total points Roosevelt high school has for the tournament are 30+15+45+50=<<30+15+45+50=140>>140 points. The total points Greendale high school has for the tournament are 140-10=<<140-10=130>>130 points. #### 130 Arman is six times older than his sister. His sister is 2 years old four years ago. In how many years will Arman's age be 40? Arman's sister is 4 + 2 = <<4+2=6>>6 years old now. So, Arman is 6 x 6 = <<6*6=36>>36 years old. Hence, Arman will be 40 in 40 - 36 = <<40-36=4>>4 years. #### 4 Christine is subbing aquafaba for egg whites in baking. Every 2 tablespoons of aquafaba is equivalent to 1 egg white. She's making 2 angel food cakes that call for 8 egg whites each. How many tablespoons of aquafaba will she need in order not to use egg whites? Both cakes use 8 egg whites so she would typically use 2*8 = <<8*2=16>>16 egg whites 2 tablespoons of aquafaba is equivalent to 1 egg white and she needs 16 egg whites to that's 2*16 = <<2*16=32>>32 tablespoons of aquafaba #### 32 An old car can drive 8 miles in one hour. After 5 hours of constant driving, the car needs to get cooled down which takes 1 hour. How many miles can this car drive in 13 hours? In 5 hours the car can drive 8 * 5 = <<8*5=40>>40 miles. One cycle of driving and pause takes 5 + 1 = <<5+1=6>>6 hours. In 13 hours this cycle can fit 13 / 6 = 2 full cycles with a remainder of 1 hour Two cycles will last for 2 * 6 = <<2*6=12>>12 hours. During two full cycles, the car will drive 40 * 2 = <<40*2=80>>80 miles. So there is 13 - 12 = <<13-12=1>>1 remaining hour when the car can drive. That means during 13 hours the car will be able to drive 80 + 8 = 88 miles. #### 88 Unrest leads to 30 days of protest in 21 different cities. In each city, there are 10 arrests per day. The average person spends 4 days in jail before trial and then spends half of a 2-week sentence. How many combined weeks of jail time are there? Each city arrest 30*10=<<30*10=300>>300 people during the protest So a total of 300*21=<<300*21=6300>>6300 people were arrested They spend 14/2=<<14/2=7>>7 days of their sentence in jail So they spend a total of 7+4=<<7+4=11>>11 days in jail So there was a total of 6300*11=<<6300*11=69300>>69300 days in jail So they spent 69300/7=<<69300/7=9900>>9900 weeks in jail #### 9900 Jean is wanted on 3 counts of arson, 2 burglary charges, and six times as many petty larceny as burglary charges. If each arson count has a 36-month sentence, each burglary charge is 18 months and each petty larceny charge is 1/3rd as long as a burglary charge, how many months in jail is Jean facing? First find the total time for the burglary charges: 18 months/charge * 2 charges = 36 months Then find the total time for the arson charges: 3 counts * 36 months/count = <<3*36=108>>108 months Then find the time per larceny charge: 18 months / 3 = <<18/3=6>>6 months Then find the total number of larceny charges: 2 charges * 6 = <<2*6=12>>12 charges Then find the total time for the larceny charges: 6 months/charge * 12 charges = 72 months Then add up the time for all the charges to find the total jail time: 36 months + 72 months + 108 months = <<36+72+108=216>>216 months #### 216 John takes 3 naps a week. Each nap is 2 hours long. In 70 days how many hours of naps does he take? There are 70/7=<<70/7=10>>10 weeks in 70 days. So he takes 10*3=<<10*3=30>>30 naps That means he naps for 30*2=<<30*2=60>>60 hours #### 60 A YouTube video got 3000 likes and 100 more than half as many dislikes. If the video gets 1000 more dislikes and 0 more likes how many dislikes does the video have? half as many as 3000 is 3000/2=<<3000/2=1500>>1500 dislikes 100 more than 1500 is 1500+100=<<1500+100=1600>>1600 dislikes 1000 more dislikes is 1600+1000=2600 dislikes #### 2600 An apartment complex has 4 identical buildings. Each building has 10 studio apartments, 20 2 person apartments, and 5 4 person apartments. How many people live in the apartment complex if it has 75% of its maximum occupancy? First, we find out how many people live in each building. In addition to 10 1 person apartments, as a studio apartment is for a single person, there are 20 2 person apartments meaning there are 20*2=<<20*2=40>>40 people capable of living there. We then find out how many people can live in the 4 person apartments by multiplying the number of available 4 person apartments by 4, performing 5*4=20 people capable of living there. So, in 1 building there is room for 10+40+20=<<10+40+20=70>>70 people. We multiply this by the 4 buildings in total, finding a maximum occupancy of 4*70=<<4*70=280>>280 people We then multiply this by .75 to find out how many people would live there at 75% of maximum occupancy, performing 280*.75= <<210=210>>210 people. #### 210