Alice and Bob are each given $2000 to invest. Alice puts all of her money in the stock market and doubles her money. Bob invests in real estate and makes five times more money than he invested. How much more money does Bob have now than Alice?

How much money did Alice invest? ** When Alice invested her money in the stock market, her money doubled to $2000*2 = $

<<2000*2=4000>>4000 How much money did Bob invest? ** Bob, after investing in real estate, increased his money by 2000*5 = <<2000*5=10000>>10000 How much money did Bob make after investing in real estate? ** The total amount of money that Bob made after investing in real estate is $10000+$2000 = $<<10000+2000=12000>>12000 How much more money does Bob have now than Alice? ** Bob made $12000-$4000 = $<<12000-4000=8000>>8000 more than Alice after investing his money. #### 8000 There have been 15 "Where's Waldo?" books published. Each book has 30 puzzles to find Waldo. The average person takes 3 minutes to find Waldo in a puzzle. How long would it take to find every Waldo? How many puzzles are in each book? ** There have been 450 puzzles because 15 x 30 = <<450=450>>450 How many minutes would it take to find all the Waldo's? ** It would take 1,350 minutes to find all the Waldo's because 450 x 3 = <<450*3=1350>>1,350 #### 1350 Ryanne is 7 years older than Hezekiah. Together Ryanne's and Hezekiah's ages equal 15 years. How many years old is Hezekiah? Define a variable ** Let H = Hezekiah's age Hold old is Ryanne? ** Ryanne = H + <<+7=7>>7 Write an equation ** 2H + 7 = 15 Simplify ** 2H = 8 Divide by 2 ** H = <<4=4>>4 How many years old is Hezekiah? ** Hezekiah is 4 years old. #### 4 Jackson buys a computer game for $66 and three movie tickets for $12 each. How much did he spend on entertainment total? How much did Jackson spend on movie tickets? ** First find the total amount of money Jackson spent on movie tickets: 3 tickets * $12/ticket = $<<3*12=36>>36 How much did Jackson spend on entertainment total? ** Then add the amount he spent on the video game: $36 + $66 = $<<36+66=102>>102 #### 102 Chastity made 12 angel food cakes to give to friends. She placed the cakes in boxes, and then walked them out to her car. But she had forgotten her keys. So, she placed the boxes of cakes in one stack on the hood of her car, and then she ran back into the house to get her keys. But before she returned, a black crow came, landed on the stack of cakes, and knocked over half of the stack. When Chastity returned, she picked up half of the fallen cakes, which were not damaged, but the rest of the cakes were destroyed. How many cakes were destroyed? How many cakes were fallen? ** There were 12/2=<<12/2=6>>6 fallen cakes. How many cakes were destroyed? ** Half of 6 fallen cakes were destroyed, for a total of 6/2=<<6/2=3>>3 cakes. #### 3 4.5 gallons of coffee were divided among 18 thermoses. Genevieve drank 3 thermoses. How many pints of coffee did Genevieve drink? How many pints were there? ** 4.5 gallons = 4.5 * 8 pints = <<4.5*8=36>>36 pints How many pints were in each thermos? ** 36/18 = <<36/18=2>>2 pints How many pints of coffee did Genevieve drink? ** Genevieve drank 2*3=<<2*3=6>>6 pints of coffee. #### 6 Phil has a coin collection he likes to add to. He started with 50 state quarters his parents gave him. Over the next year he doubled this. The following year he collected 3 each month. The year after that he collected 1 every third month. The year after that he lost a quarter of them when he misplaced his collection. How many did he have left after losing some? How many coins did Phil have after the first year? ** Phil started with 50, and doubled this amount the next year for 50*2=<<50*2=100>>100 coins How many coins did Phil collect in the second year? ** Phil then collected 3 per month the following year, and since there are 12 months in a year that was 3*12=<<3*12=36>>36 coins added How many coins did Phil collect in the third year? ** Phil then collected 1 every third month, and since there are 12 months that means he collected one every 12/3=4 months, for 4 coins added How many coins did Phil have after the second year? ** Before he lost a quarter of his coins, Phil had 100+36+4 coins, or <<100+36+4=140>>140 coins in total. How many coins did Phil lose? ** Losing a quarter of 140 coins means Phill lost 140/4=<<140/4=35>>35 coins How many coins did Phil have left after losing some? ** That means Phil had 140-35= <<140-35=105>>105 coins remaining #### 105 A monitor is 21 inches by 12 inches. There are 100 dots per inch. How many total pixels are there? How many pixels are there? ** The display is 21*100=<<21*100=2100>>2100 pixels across How many pixels are there? ** The display is 12*100=<<12*100=1200>>1200 pixels tall How many total pixels are there? ** That means there is a total of 2100*1200=<<2100*1200=2520000>>2,520,000 pixels #### 2,520,000 A family's water and electricity bills average $30 a month for the first 4 months and $24 a month for the last 2 months. If the family's bills were averaged over all 6 months, what would the average monthly bill be? How much did the family's bills cost in the first 4 months? ** The sum of the bills of the family in the first 4 months is $30/month x 4 months = $<<30*4=120>>120. How much did the family's bills cost in the last 2 months? ** The sum of the bills of the family in the last 2 months is $24/month x $2 = $<<24*2=48>>48. How much did the family's bills cost in total? ** The sum of the bills of the family over the 6 months is $120 + $48 = $<<120+48=168>>168. What is the average monthly bill? ** Hence, their average monthly bill is $168/6 months = $<<168/6=28>>28/month. #### 28 Aida has twice as many dolls as Sophie, and Sophie has twice as many dolls as Vera. How many dolls do Aida, Sophie, and Vera have combined if Vera has 20 dolls? How many dolls does Sophie have? ** If Sophie has twice as many dolls as Vera, then she has 2 * 20 dolls = <<2*20=40>>40 dolls How many dolls does Aida have? ** Aida has 2 * 40 dolls = <<2*40=80>>80 dolls, twice the number Sophie has. How many dolls do Aida, Sophie, and Vera have combined? ** In total, they have 80 dolls + 40 dolls + 20 dolls = <<80+40+20=140>>140 dolls #### 140