Out of the 200 cookies that Javier baked from the recipe he learned online, his wife took 30%, and his daughter took 40 from the remaining cookies. If he ate half of the remaining cookies, how many cookies did they not eat?

How many cookies did Javier's wife eat? ** From the 200 cookies, Javier's wife ate 30/100*200 =

<<30/100*200=60>>60 How many cookies remained after the wife ate? ** After the wife ate 60 cookies, the number of cookies that remained was 200-60 = <<200-60=140>>140 How many cookies did Javier's daughter eat? ** The daughter also ate 40 cookies leaving 140-40 = <<140-40=100>>100 cookies. How many cookies did Javier eat? ** If Javier ate half of the remaining cookies, he ate 1/2*100 = 50. How many cookies did Javier not eat? ** The number of cookies that remained is 100-50 = <<100-50=50>>50 #### 50 Jeremy buys 30 watermelons. He eats 3 watermelons per week. Each week he gives 2 to his dad. How many weeks will the watermelons last? How many watermelons does Jeremy eat each week? ** Jeremey goes through 3+2=<<3+2=5>>5 watermelons per week. How many weeks will the watermelons last? ** Therefore, the watermelons will last him to 30/5=<<30/5=6>>6 weeks. #### 6 A hot dog stand sells 10 hot dogs every hour, each one selling for $2. How many hours does the stand need to run to make $200 in sales? How much in sales does the stand make each hour? ** First, we find out how much in sales the stand makes each hour by multiplying the number of hot dogs sold by the sales price, finding that 2*10=<<2*10=20>>20 dollars in sales each hour. How many hours does the stand need to run to make $200 in sales? ** Then we divide the sales goal for the day by the sales per hour, finding that the stand needs to be open for 200/20= <<200/20=10>>10 hours to hit its sales goal. #### 10 Mary had 89 stickers. She used 3 large stickers on the front page of her journal and 7 stickers each to 6 other pages of her journal. How many stickers does Mary have remaining? How many stickers did Mary add to the other pages? ** Mary added a total of 7 stickers/page * 6 pages= <<7*6=42>>42 stickers to the 6 other pages. How many stickers did Mary add to her journal? ** In total, Mary added 3 large stickers + 42 stickers = <<3+42=45>>45 stickers to her journal. How many stickers does Mary have remaining? ** Since she started with 89 stickers, she now has 89 - 45 = <<89-45=44>>44 stickers left. #### 44 Beckett is 12 and is three years younger than Olaf, while Shannen is two years younger than Olaf. If Jack is five more than twice as old as Shannen, what is the sum of the ages of all 4 people? How old is Olaf? ** Olaf is 12 years + 3 years = <<12+3=15>>15 years old. How old is Shannen? ** Shannen is 15 years old - 2 years = <<15-2=13>>13 years old. How old is Jack? ** Jack is 5 years + (2 * 13 years) = <<5+(2*13)=31>>31 years old. What is the sum of the ages of all 4 people? ** The sum of all of their ages is 12 + 15 + 13 + 31 = <<12+15+13+31=71>>71 years old. #### 71 To pass the time while she is waiting somewhere Carla likes to count things around her. While she is waiting for school to start on Monday she counts the tiles on the ceiling--38. While she is waiting for everyone to finish their tests after she has handed in hers, she counts the books in the room--75. On Tuesday Carla counts all the tiles twice in a row and she counts the books three times in a row when she has to wait for a long time for the teacher to finish handing out the graded tests. If every time Carla counts something counts as once, how many times has Carla counted something on Tuesday? How many times did Carla count a ceiling tile on Tuesday? ** When Carla was waiting on Monday she counted 38 ceiling tiles and on Tuesday she counted them twice, 38 ceiling tiles x 2 = <<38*2=76>>76 times she counted a ceiling tile. How many times did Carla count a book on Tuesday? ** She also counted 75 books in the room on Monday and counted them three times in a row on Tuesday, 75 books x 3 = <<75*3=225>>225 times she counted a book. How many times did Carla count something on Tuesday? ** On Tuesday Carla counted the ceiling tiles 76 times + counted books 225 times = <<76+225=301>>301 times Carla counted something on Tuesday. #### 301 Martha is making centerpieces for her Thanksgiving dinner. There are six centerpieces, and each centerpiece uses 8 roses, twice as many orchids as roses, and a certain number of lilies. If Martha wants to spend $2700 total, and each flower costs $15, how many lilies will she put in each centerpiece? How many flowers will Martha buy? ** First figure out how many total flowers Martha is going to buy by dividing her total spending by the price per flower: $2700 / $15/flower = <<2700/15=180>>180 flowers How many flowers are in each centerpiece? ** Now figure out how many flowers are in each centerpiece by dividing the total number of flowers by the number of centerpieces: 180 flowers / 6 centerpieces = <<180/6=30>>30 flowers / centerpiece How many orchids are in each centerpiece? ** Now figure out how many orchids are in each centerpiece by multiplying the number of roses per centerpiece by 2: 8 roses/centerpiece * 2 = <<8*2=16>>16 orchids/centerpiece How many lilies will Martha put in each centerpiece? ** Now subtract the number of roses and orchids per centerpiece from the total number of flowers per centerpiece to find the number of lilies per centerpiece: 30 flowers - 16 orchids - 8 roses = <<30-16-8=6>>6 lilies #### 6 Nine hundred tickets were sold to a concert. Three-fourths of those who bought the ticket came before the start of the concert. Five-ninths of the remaining came few minutes after the first song. Eighty people arrived during the middle part of the concert while the rest did not go. How many of those who bought the tickets did not go? How many people came before the start of the concert? ** 900 x 3/4 = <<900*3/4=675>>675 people came before the start of the concert. How many people did not come before the start of the concert? ** 900 - 675 = <<900-675=225>>225 people did not come before the start of the concert. How many people came few minutes after the first song? ** 225 x 5/9 = <<225*5/9=125>>125 people came few minutes after the first song. How many people came to the concert that was not able|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endof ** So, 125 + 80 = <<125+80=205>>205 people came to the concert that was not able to be at the start of the concert. How many people did not go to the concert? ** Therefore, 225 - 205 = <<225-205=20>>20 people did not go to the concert. #### 20 Gina had $400. She gave 1/4 of her money to her mom, used 1/8 of her money to buy clothes, gave 1/5 of her money to a charity, and kept the remaining money. How much did Gina keep? How much did Gina's mom receive? ** Gina's mom received 1/4 x $400 = $<<1/4*400=100>>100. How much did Gina use to buy clothes? ** She used 1/8 x $400 = $<<1/8*400=50>>50 to buy clothes. How much did Gina give to a charity? ** She gave 1/5 x $400 = $<<1/5*400=80>>80 to a charity. How much did Gina spend? ** Thus, she spent a total of $100 + $50 + $80 = $<<100+50+80=230>>230. How much did Gina keep? ** Therefore, Gina kept $400 - $230 = $<<400-230=170>>170. #### 170 The difference between the ages of two friends is 2 years. The sum of their ages is 74 years. Find the age of the older friend. Define a variable ** Let X be the age of the older friend. How old is the younger friend? ** The younger friend is X-2 years old. Write an equation ** So, the age of both is X + (X-2) = 74. Simplify ** X + X = 74 + 2. Simplify ** 2 * X = 76. How old is the older friend? ** Then, the older friend is X = <<38=38>>38 years old. #### 38