Pete has to take a 10-minute walk down to the train station and then board a 1hr 20-minute train to LA. When should he leave if he cannot get to LA later than 0900 hours? (24-hr time)

How many minutes are in an hour? ** There are 60 minutes in an hour so 1 hour 20 minutes = (60+20) minutes = 80 minutes

How many minutes will Pete spend? ** He will spend a total of 80+10 =

<<80+10=90>>90 minutes How many minutes are in an hour? ** 90 minutes is = (60/60) hours and 30 minutes = 1 hour 30 minutes = 0130 in 24-hr time How many minutes earlier than 0900 does Pete have to leave? ** He has to leave 0130 hours earlier than 0900 i.e. 0900-0130 = 0730 hours #### 730 Sara is checking out two different stores to buy a computer. The first store offers a device for $950 with a 6% discount. The second sells the same computer for €920 with a 5% discount. What is the difference in price between the two stores? How much is the discount? ** The amount of discount in the first store 950 x 6/100 = $<<950*6/100=57>>57. How much does the device cost in the first store? ** So, the device costs 950 - 57 = $<<950-57=893>>893 in the first store. How much is the discount? ** The amount of discount in the second store is 920 x 5/100 = $<<920*5/100=46>>46. How much does the device cost in the second store? ** So, the device costs 920 - 46 = $<<920-46=874>>874 in the second store. What is the difference in price between the two stores? ** The difference in price is 893 - 874 = $<<893-874=19>>19. #### 19 Elizabeth uses $3.00 worth of ingredients to make a bag of granola. She makes 20 bags and sells them for $6.00 a bag at the farmer's market. An hour before closing, she has sold 15 bags and marks the remaining 5 bags down to $4.00 and sells them soon after. What is her net profit? How much does Elizabeth spend on ingredients? ** She uses $3.00 of ingredients per 1 bag of granola and she makes 20 bags so she spends 3*20 = $<<3*20=60.00>>60.00 on ingredients How much does Elizabeth make from selling bags? ** She sells 15 bags for $6.00 so she makes 15*6 = $<<15*6=90.00>>90.00 How much does Elizabeth make from selling her last 5 bags? ** She sells her last 5 bags for $4.00 so she makes 5*4 = $<<5*4=20.00>>20.00 How much did Elizabeth make in total? ** She made $90.00 and $20.00 for a total of 90+20 = $<<90+20=110.00>>110.00 What is Elizabeth's net profit? ** She made $110.00 but spent $60.00 on ingredients so her net profit is 110-60 = $<<110-60=50.00>>50.00 #### 50 Abe finds 4 ants on the sidewalk. Beth sees 50% more ants than Abe. CeCe watches twice as many ants as Abe. Duke discovers half as many ants as Abe. How many ants do the four children find together? How many ants does Beth see? ** Beth finds 4 + 2 = <<4+2=6>>6 ants. How many ants does CeCe see? ** CeCe finds 4 x 2 = <<4*2=8>>8 ants. How many ants does Duke see? ** Duke finds 4 / 2 = <<4/2=2>>2 ants. How many ants do the four children find together? ** The four children find 4 + 6 + 8 + 2 = <<4+6+8+2=20>>20 ants. #### 20 There are 30 different nuts in a bowl. If 5/6 of the nuts were eaten, how many nuts were left? How many nuts were eaten? ** 30 x 5/6 = <<30*5/6=25>>25 nuts were eaten. How many nuts were left? ** Thus, 30 - 25 = <<30-25=5>>5 nuts were left. #### 5 Harry has 50 books in his library. His sister Flora has twice as many books and their cousin Gary has half the books Harry has. How many books do the three of them own together? How many books does Flora have? ** Flora has 50*2= <<50*2=100>>100 books How many books does Gary have? ** Gary has 50/2= <<50/2=25>>25 books How many books do the three of them own together? ** Together they own 100+25+50= <<100+25+50=175>>175 books #### 175 A rectangular flowerbed in the city park is 4 meters wide. Its length is 1 meter less than twice its width. The government wants to fence the flowerbed. How many meters of fence are needed? How many meters is the flowerbed? ** Twice the width is 4 x 2 = <<4*2=8>>8 meters. How many meters is the length of the flowerbed? ** The length of the rectangular flowerbed is 8 - 1= <<8-1=7>>7 meters. How many meters of fence are needed? ** Since the rectangular flower bed has 2 equal lengths, then it needs 7 x 2 = <<7*2=14>>14 meters of fence. How many meters of fence are needed? ** The rectangular bed has also 2 equal widths, so it needs 4 x 2 = <<8=8>>8 meters of fence. How many meters of fence are needed? ** Therefore, the rectangular flower bed needs a total of 14 + 8 = <<14+8=22>>22 meters of fence. #### 22 To let Ruth know how long her fish will live, her father tells her that well-cared fish can live 2 years longer than dogs live. On average, dogs live 4 times as long as hamsters live. And hamsters live an average of 2.5 years. How long can a fish live? How long do dogs live? ** Knowing that dogs live 4 times the age of hamsters, dogs live 4 * 2.5 = <<4*2.5=10>>10 years. How long can a fish live? ** If Ruth takes care of the fish, it can live 10 + 2 = <<10+2=12>>12 years. #### 12 Bill picked 50 apples from the orchard with his wife and two children. He sends each of his kids to school with 3 apples for their two favorite teachers. His wife Jill bakes two apple pies, using 10 apples per pie. How many apples does Bill have left? How many apples does Bill give to his children? ** Bill gives each of his children 3 apples, so since he has two children this is 3*2=<<3*2=6>>6 apples. How many apples does Jill bake? ** Jill bakes 2 apple pies, using 10 apples each so this means she uses 10*2=<<2*10=20>>20 apples. How many apples were used? ** In total, this means 20+6=<<20+6=26>>26 apples were used. How many apples does Bill have left? ** Since Bill began with 50 apples, this means there are 50-26=<<50-26=24>>24 apples remaining. #### 24 Jackson has 5 times more money than Williams. Together, they have $150. How much money, in dollars, does Jackson have? Define a variable ** Let x be the amount of money Williams has. How much money does Jackson have? ** Jackson has 5*x dollars. Write an equation ** 5*x+x=150 Simplify ** 6*x=150 Simplify ** x=<<25=25>>25 How much money does Jackson have? ** Jackson has 25*5=<<25*5=125>>125 dollars. #### 125