At the bookstore, Sarah bought 6 paperback books and 4 hardback books. Her brother bought one-third as many paperback books as Sarah bought, and two times the number of hardback books that she bought. How many books did her brother buy in total?

How many paperbacks did her brother buy? ** Her brother bought 6/3=

<<6/3=2>>2 paperbacks How many hardbacks did her brother buy? ** He bought 4*2=<<4*2=8>>8 hardbacks How many books did her brother buy in total? ** In total he bought 2+8=<<2+8=10>>10 books #### 10 It is recommended that men should consume no more than 150 calories of added sugar per day. Mark took a soft drink in the afternoon that contained 2500 calories, 5% of which was from added sugar. Then he bought some bars of candy which had 25 calories of added sugar each. If he eventually exceeded the recommended intake of added sugar by 100%, how many bars of candy did he take? How many calories of added sugar did Mark consume? ** He consumed 2500 calories, 5% of which is added sugar to give 2500*(5/100) = <<2500*(5/100)=125>>125 calories of added sugar. How many calories of added sugar did Mark exceed the recommended intake by? ** He exceeded the recommended intake of 150 calories by 100% for a total consumption of 150+(150(100/100)) = $<<150+(150*100/100)=300>>300 How many calories of added sugar did Mark take in from candy? ** This means he took in 300-125 = <<300-125=175>>175 calories from candy alone How many bars of candy did Mark take? ** Each candy had 25 calories so 175 calories which means he consumed 175/25 = <<175/25=7>>7 bars? #### 7 The gummy bear factory manufactures 300 gummy bears a minute. Each packet of gummy bears has 50 gummy bears inside. How long would it take for the factory to manufacture enough gummy bears to fill 240 packets, in minutes? How many packets of gummy bears does the factory create per minute? ** The factory creates 300 gummy bears a minute, which means it produces 300 / 50 = <<300/50=6>>6 packets of gummy bears per minute. How long would it take the factory to manufacture enough gummy bears to fill 240 packets? ** It would take 240 / 6 = <<240/6=40>>40 minutes to manufacture enough gummy bears to fill 240 packets. #### 40 Earl has $90; Fred has $48; Greg has $36. Earl owes Fred $28. Fred owes Greg $32. Greg owes Earl $40. When all debts are paid, how much will Greg and Earl have together in dollars? How much money will Earl have after paying off his debt to Fred? ** Earl will have $90 - $28 = $<<90-28=62>>62 after paying off his debt to Fred. How much money will Fred have after being paid by Earl? ** Fred will have $48 + $28 = $<<48+28=76>>76 after being paid by Earl. How much money will Fred have after paying Greg? ** But then Fred will have $76 - $32 = $<<76-32=44>>44 after paying Greg. How much money will Greg have after Fred paid him? ** Greg will have $36 + $32 = $<<36+32=68>>68 after Fred paid him. How much money will Greg have after paying off his debt to Earl? ** Then, Greg will have $68 - $40 = $<<68-40=28>>28 after paying off his debt to Earl. How much money will Earl have after paying off his debt to Greg? ** Then, Earl will then have $62 + $40 = $<<62+40=102>>102. How much money will Greg and Earl have together in dollars? ** So together, Greg and Earl will have $28 + $102 = $<<28+102=130>>130. #### 130 A dental office gives away 2 toothbrushes to every patient who visits. His 8 hour days are packed and each visit takes .5 hours. How many toothbrushes does he give in a 5 day work week? How many visits does he do in a day? ** Each day he does 8/.5=<<8/.5=16>>16 visits How many visits does he do in a week? ** So he does 16*5=<<16*5=80>>80 visits a week How many toothbrushes does he give away in a week? ** That means he gives away 80*2=<<80*2=160>>160 toothbrushes a week #### 160 5 squirrels collected 575 acorns. If each squirrel needs 130 acorns to get through the winter, how many more acorns does each squirrel need to collect? How many acorns does each squirrel have? ** Each squirrel now has 575/5 = <<575/5=115>>115 acorns. How many more acorns does each squirrel need to collect? ** Each squirrel still needs to collect another 130 - 115 = <<130-115=15>>15 acorns. #### 15 In a class of 25 students, students were asked if they like French fries, burgers, or neither. 15 students said they like French fries and 10 said they like burgers, with these statistics including the responses of 6 students who said they like both French fries and burgers. How many students do not like either food? How many students like French fries only? ** There are 15 - 6 = <<15-6=9>>9 students who like French fries only. How many students like burgers only? ** There are 10 - 6 = <<10-6=4>>4 students who like burgers only. How many students like either French fries, burgers, or both? ** So, 9 + 4 + 6 = <<9+4+6=19>>19 students like either French fries, burgers, or both. How many students do not like either fries or burgers? ** Hence, 25 - 19 = <<25-19=6>>6 students do not like either fries or burgers. #### 6 A coffee shop brews 10 coffee cups per hour on a weekday and 120 coffee cups in total over the weekend. If the coffee shop is open 5 hours a day every single day, how many coffee cups are brewed in 1 week? How many coffee cups are produced on a weekday? ** On a weekday, the shop produces 10 coffee cups per hour * 5 hours per weekday = <<10*5=50>>50 coffee cups. How many coffee cups are brewed in 1 week? ** The coffee shop therefore brewed 50 coffee cups per day * 5 weekdays in a week = <<50*5=250>>250 coffee cups. How many coffee cups are brewed in 1 week? ** So in total, the coffee shop brewed a total of 250 weekday coffee cups + 120 weekend coffee cups = <<250+120=370>>370 coffee cups in 1 week. #### 370 Jenny has a tummy ache. Her brother Mike says that it is because Jenny ate 5 more than thrice the number of chocolate squares that he ate. If Mike ate 20 chocolate squares, how many did Jenny eat? How many chocolate squares did Mike eat? ** Thrice the number of chocolate squares that Mike ate is 20 squares * 3 = <<20*3=60>>60 squares. How many chocolate squares did Jenny eat? ** Jenny therefore ate 60 squares + 5 squares = <<60+5=65>>65 chocolate squares #### 65 Jake is retrieving the notes on a communal board, putting all of the red notes in the complaints bin and all of the blue notes in the compliments bin. The red notes were in 5 rows with 6 notes in each row. There are 2 blue notes under each of the red notes, as well as another 10 blue notes scattered at the bottom of the board. How many notes in total are put into the complaints and compliments bins? How many red notes are there? ** There are a total of 5 rows of red notes * 6 notes per row = <<5*6=30>>30 red notes on the board. How many blue notes are there? ** There are 2 blue notes per red notes * 30 red notes = 60 blue notes under the red notes. How many blue notes are there? ** With the other blue notes at the bottom of the board, there are a total of 60 + 10 = <<60+10=70>>70 blue notes. How many notes in total are there? ** So in total, there are 30 red notes + 70 blue notes = <<30+70=100>>100 notes in total. #### 100