Danny has 3 bottles of soda. He drinks 90% of one bottle and gives 70% of the other two bottles to his friends. How much soda does Danny have left, expressed as a percentage of a bottle?

First find how much soda Danny drank: 1 bottle * .9 =

<<1*.9=.9>>.9 bottles Then find how much soda Danny gave to his friends: 2 friends * 1 bottle/friend * .7 = <<2*1*.7=1.4>>1.4 bottles Now subtract the soda drunk and given away to find the remaining amount of soda: 3 bottles - .9 bottles - 1.4 bottles = .7 bottles * 100% = 70% #### 70 Joanie wants to join a gym to get into shape. The gym costs $12 per month and has a $50 down payment. How much will she need to pay for the first 3 years? The membership costs $12 * 12 months = $<<12*12=144>>144 per year. For three years, the monthly membership fee will be $144 * 3 = $<<144*3=432>>432. The total amount paid for 3 years will be $432 + $50 = $<<432+50=482>>482. #### 482 James needs to get a new pair of glasses. His frames cost $200 and the lenses cost $500. Insurance will cover 80% of the cost of lenses and he has a $50 off coupon for frames. How much does everything cost? He gets 500*.8=$<<500*.8=400>>400 off the cost of lenses That means the lenses cost 500-400=$<<500-400=100>>100 The frames cost 200-50=$<<200-50=150>>150 So he pays 100+150=$<<100+150=250>>250 #### 250 As firefighters, Doug, Kai, and Eli have been putting out a lot of fires over the week. Doug has put out 20 fires for the week and Kai has put out 3 times more than Doug. Meanwhile, Eli has put out half the number of fires Kai was able to. How many fires have they put out for the entire week? Kai has put out 20 x 3 = <<20*3=60>>60 fires for the week. Eli has put out 60 / 2 = <<60/2=30>>30 fires for the week. Therefore, the total amount of fires they have put out over the entire week was 20 + 60 + 30 = <<20+60+30=110>>110. #### 110 There are 88 dogs in a park. 12 of the dogs are running. Half of them are playing with toys. A fourth of them are barking. How many dogs are not doing anything? 88/2 = <<88/2=44>>44 dogs are playing with toys. 88/4 = <<88/4=22>>22 dogs are barking. 88-12-44-22 = <<88-12-44-22=10>>10 dogs are not doing anything. #### 10 Arabella is a dance student learning three new steps this session. Her instructor has her spend thirty minutes on learning the first step. The second step she masters in half the time. The third step is more complex, so it takes her as long as both the other steps to learn. How many minutes did she spend learning the three steps? Arabella spent 30 / 2 = <<30/2=15>>15 minutes on the second step. She took 30 + 15 = <<30+15=45>>45 minutes to learn the third step. Therefore, Arabella spent 30 + 15 + 45 = <<30+15+45=90>>90 minutes learning all three steps. #### 90 Tyson played basketball on the schoolyard. He scored three points fifteen times, and two points twelve times. He also scored one point some number of times. How many times did he score one point, if in total he scored 75 points? Tyson scored three points fifteen times, which would be 3 * 15 = <<3*15=45>>45 points. He also scored two points twelve times, which would give him a score of 2 * 12 = <<2*12=24>>24. So Tyson scored 75 - 45 - 24 = <<75-45-24=6>>6 points, by one point each. #### 6 There are 360 balls in the ball pit. If a quarter of the balls in the ball pit are red and a fifth of the remaining balls are blue. How many of the balls are neither red nor blue? A quarter of the balls are red and therefore there are 360 x (1 / 4) = <<360*(1/4)=90>>90 red balls. When you remove the red balls from the ball pit there are 360 - 90 = <<360-90=270>>270 remaining balls A fifth of the remaining balls are blue, and therefore there are 270 x (1 / 5) = <<270*(1/5)=54>>54 blue balls. The total of red and blue balls equals 90 + 54 = <<90+54=144>>144 balls When you remove the red and blue balls from the total there are 360 - 144 = <<360-144=216>>216 balls that are neither red nor blue. #### 216 John had $20. He spent 1/5 of his money on snacks and 3/4 of the remaining money on necessities. How much is left of John's money? John spent $20 x 1/5 = $<<20*1/5=4>>4 on snacks. He had $20 - $4 = $<<20-4=16>>16 remaining. He spent $16 x 3/4 = $<<16*3/4=12>>12 on his necessities. So, John is left with $16 - $12 = $<<16-12=4>>4. #### 4 After geometry class, Bill wants to count how many lines he drew. For each shape, he drew one line per side. If he drew 12 triangles, 8 squares, and 4 pentagons, how many lines did he draw? For the triangles, he drew 36 lines because 12 times 3 equals <<12*3=36>>36. For the squares, he drew 32 lines because 8 times 4 equals <<8*4=32>>32. For the pentagons, he drew 20 lines because 4 times 5 equals <<4*5=20>>20. He drew 88 lines in total because 36 plus 32 plus 20 equals <<36+32+20=88>>88. #### 88