Liza bought 10 kilograms of butter to make cookies. She used one-half of it for chocolate chip cookies, one-fifth of it for peanut butter cookies, and one-third of the remaining butter for sugar cookies. How many kilograms of butter are left after making those three kinds of cookies?

How many kilograms of butter did Liza use for the chocolate chip cookies? ** Liza used 10/2 =

<<10/2=5>>5 kilograms of butter for the chocolate chip cookies. How many kilograms of butter did Liza use for the peanut butter cookies? ** Then, she used 10/5 = <<10/5=2>>2 kilograms of butter for the peanut butter cookies. How many kilograms of butter did Liza use for the chocolate and peanut butter cookies? ** She used 5 + 2 = <<5+2=7>>7 kilograms of butter for the chocolate and peanut butter cookies. How many kilograms of butter were left after making those three kinds of cookies? ** So, only 10 -7 = <<10-7=3>>3 kilograms of butter was left. How many kilograms of butter did Liza use for the sugar cookies? ** Then, Liza used 3/3 = <<3/3=1>>1 kilograms of butter for the sugar cookies. How many kilograms of butter were left after making those three kinds of cookies? ** Therefore, only 3-1 = <<3-1=2>>2 kilograms of butter were left. #### 2 A Statistics student wants to find out the average daily allowance of the middle school students. According to his survey, 2/3 of the students receive an average of $6 allowance per day while the rest gets an average of $4 a day. If he surveyed 60 students, what is the total amount of money those 60 students get in a day? How many students get an average of $6? ** There are 60 students x 2/3 = <<60*2/3=40>>40 students who have a $6 daily allowance. How many students get an average of $4? ** While there are 60 students - 40 students = <<60-40=20>>20 students who have a $4 daily allowance. How much money do the 40 students who received $6 get in a day? ** The sum of the allowances of the 40 students who received $6 daily is 40 students x $6/day = $<<40*6=240>>240. How much money do the 20 students who received $4 get in a day? ** The sum of the allowances of the 20 students who received $4 daily is 20 students x $4/day = $<<20*4=80>>80. What is the total amount of money those 60 students get in a day? ** The total daily amount of money of those 60 students is $240 + $80 = $<<240+80=320>>320. #### 320 Every hour Joanne has to collect the coins out of the fountain inside the mall. During the first hour, she collected 15 coins. For the next two hours, she collected 35 coins from the fountain. In the fourth hour, she collected 50 coins from the fountain but she gave 15 of them to her coworker so she could buy a soda. How many coins did she have after the fourth hour? How many coins did Joanne collect in the first hour? ** 15 coins collected in hour one How many coins did Joanne collect in the second hour? ** 35 coins collected in hour two How many coins did Joanne collect in the third hour? ** 35 coins collected in hour three How many coins did Joanne collect in the fourth hour? ** 50 coins collected in hour four How many coins did Joanne have before giving her coworker some coins? ** Before giving her coworker some coins there were 15+35+35+50=<<15+35+35+50=135>>135 coins How many coins did Joanne have after giving her coworkers some coins? ** The number of coins after given 15 to her coworker is 135-15=<<135-15=120>>120 #### 120 Jerry’s two daughters play softball on different teams. They each have 8 games this season. Each team practices 4 hours for every game they play. If each game lasts for 2 hours, how many hours will Jerry spend at the field watching his daughters play and practice altogether? How many hours will Jerry spend watching one daughter play? ** Jerry will spend 8 games x 2 hours per game = <<8*2=16>>16 hours watching one daughter play her games. How many hours will Jerry spend watching both daughters play? ** He will spend 16 x 2 = <<16*2=32>>32 hours watching both daughters play their games. How many hours will Jerry spend watching one daughter practice? ** He will spend 8 games x 4 hours of practice = <<8*4=32>>32 hours watching one daughter practice. How many hours will Jerry spend watching both daughters practice? ** He will spend 32 x 2 = <<32*2=64>>64 hours watching both daughters practice. How many hours will Jerry spend at the field watching his daughters play and practice altogether? ** He will spend a total of 32 hours watching games + 64 hours watching practice = <<32+64=96>>96 hours. #### 96 A bear is preparing to hibernate for the winter and needs to gain 1000 pounds. At the end of summer, the bear feasts on berries and small woodland animals. During autumn, it devours acorns and salmon. It gained a fifth of the weight it needed from berries during summer, and during autumn, it gained twice that amount from acorns. Salmon made up half of the remaining weight it had needed to gain. How many pounds did it gain eating small animals? How many pounds did the bear gain from berries? ** The bear gained 1 / 5 * 1000 = <<1/5*1000=200>>200 pounds from berries. How many pounds did the bear gain from acorns? ** It gained 2 * 200 = <<2*200=400>>400 pounds from acorns. How many pounds did the bear still need to gain? ** It still needed 1000 - 200 - 400 = <<1000-200-400=400>>400 pounds. How many pounds did the bear gain from salmon? ** Thus, it gained 400 / 2 = <<400/2=200>>200 pounds from salmon. How many pounds did the bear gain from small animals? ** Therefore, the bear gained 400 - 200 = <<400-200=200>>200 pounds from small animals. #### 200 There are 290 liters of oil in 24 cans. If 10 of the cans are holding 8 liters each, how much oil is each of the remaining cans holding? How many liters are in the 10 cans? ** 10 cans are holding 8 liters each for a total of 10 * 8 = <<10*8=80>>80 liters How many liters are left? ** There are 290 - 80 = <<290-80=210>>210 litres left How many cans are left? ** There are 24 - 10 =<<24-10=14>>14 cans left How much oil is each of the remaining cans holding? ** Each of the remaining cans is holding 210 / 14 = <<210/14=15>>15 liters each #### 15 Shawna's workout goal is 30 situps. On Monday, Shawna was only able to do 12 situps, so she decided that she would make up for the rest on Tuesday. However, she was only able to do 19 situps on Tuesday. How many situps would Shawna have to do on Wednesday to meet her minimum goal and make up for the ones she didn't do? How many situps did Shawna miss on Monday? ** On Monday, Shawna was short of 30 - 12 = <<30-12=18>>18 situps How many situps did Shawna miss on Tuesday? ** On Tuesday, Shawna was short of 30 - 19 = <<30-19=11>>11 situps How many situps would Shawna have to do on Wednesday to meet her minimum goal and make up for the ones she didna't do? ** On Wednesday, Shawna would have to do 30 + 18 + 11 = <<30+18+11=59>>59 situps #### 59 James earns $20 an hour while working at his main job. He earns 20% less while working his second job. He works 30 hours at his main job and half that much at his second job. How much does he earn per week? How much does James earn while working his second job? ** James earns 20*.2=$<<20*.2=4>>4 less while working his second job How much does James earn an hour? ** So he earns 20-4=$<<20-4=16>>16 an hour How much does James earn at his first job? ** At his first job he earns 20*30=$<<20*30=600>>600 How many hours does James work at his second job? ** He works 30/2=<<30/2=15>>15 hours at his second job How much does James earn at his second job? ** So he earns 15*16=$<<15*16=240>>240 How much does James earn per week? ** So he earns 600+240=$<<600+240=840>>840 a week #### 840 Lee mows one lawn and charges $33. Last week he mowed 16 lawns and three customers each gave him a $10 tip. How many dollars did Lee earn mowing lawns last week? How much did Lee charge? ** 33 * 16 = $<<33*16=528>>528 How much did Lee make from tips? ** 3 * 10 = $<<3*10=30>>30 How much did Lee make in total? ** 528 + 30 = $<<528+30=558>>558 How many dollars did Lee earn mowing lawns last week? ** Lee earned $558 mowing lawns last week. #### 558 Tara has been planning to buy a laptop which costs $1000. A computer shop accepts payment in installments of $65 per month provided that a 20% down payment is made. If Tara wants to pay an additional $20 for the down payment, how much will her balance be after paying for 4 months? How much is the down payment? ** Tara has to make a $1000 x 20/100 = $<<1000*20/100=200>>200 down payment. How much is the total down payment? ** Since Tara wants to pay $20 more for the down payment, her total down payment will be $200 + $20 = $<<200+20=220>>220. How much is the remaining balance? ** So her remaining balance payable over a year is $1000 - $220 = $<<1000-220=780>>780. How much is the monthly payment? ** Tara has to make a monthly payment of $780/year / 12 months/year = $<<780/12=65>>65/month. How much is the total cost of the payments? ** The total cost of her payments for 4 months is $65/month x 4 months = $<<65*4=260>>260. How much is Tara's balance after 4 months? ** Therefore, Tara's balance after 4 months is $780 - $260 = $<<780-260=520>>520. #### 520