While cultivating a small farm, a farmer spent $50 on corn seeds, $35 on fertilizers and pesticides, and $15 on labor. After a successful harvest, he was able to gather 10 bags of corn. How much should he sell each bag, if he wants to make a profit of 10%?

How much money has the farmer spent so far? ** His total expenditure so far is $50+$35+$15 = $

<<50+35+15=100>>100 How much money does the farmer need to make a profit of 10%? ** To make a profit of 10%, he has to make a total of $100+($100*(10/100) = $<<100+(100*(10/100))=110>>110 from sales How much should each bag cost? ** To make $110 from the sales of 10 bags, each bag should cost $110/10 = $<<110/10=11>>11 #### 11 On a farm, on average every 6 cows produce 108 liters of milk per week. In five weeks the cows produced 2160 liters of milk. How many cows are on the farm? How many liters does each cow produce per week? ** Per week, one cow produces 108 liters / 6 cows = <<108/6=18>>18 liters/cow. How many cows are on the farm? ** The cows produced 2160 liters of milk over 5 weeks. So we have 2160 liters / 18 liters/cow = <<2160/18=120>>120 cows. How many cows are on the farm? ** Further, we have to divide 120 cows / 5 weeks = <<120/5=24>>24 cows. #### 24 A hot air balloon with 200 balloons is blowing up. After about half an hour, 1/5 of the total number of balloons in the hot air balloon have blown up. After another hour, twice the number of balloons that had already blown up also blow up. How many balloons in the hot air balloon remain intact? How many balloons had blown up after half an hour? ** After half an hour, the number of balloons that had blown up is 1/5*200 = <<1/5*200=40>>40 How many balloons haven't blown up so far? ** The number of balloons that haven't blown up so far is 200-40 = <<200-40=160>>160 How many balloons blow up in the next hour? ** In the next hour, 2*40 = <<2*40=80>>80 balloons blow up. How many balloons haven't blown up now? ** The number of balloons that haven't blown up now is 160-80 = <<160-80=80>>80 #### 80 Viviana has five more chocolate chips than Susana, while Susana has 3/4 as many vanilla chips as Viviana. If Viviana has 20 Vanilla chips and Susana 25 chocolate chips, calculate the total number of chips they have together. How many vanilla chips does Viviana have? ** Viviana has 20 Vanilla chips. How many chocolate chips does Susana have? ** Susana has 25 chocolate chips. How many chocolate chips does Viviana have? ** Viviana has 25+5 = <<25+5=30>>30 chocolate chips. How many vanilla chips does Susana have? ** Susana has 3/4*20 = <<3/4*20=15>>15 Vanilla chips. How many chocolate chips do they have together? ** They have 30+25 = <<30+25=55>>55 chocolate chips together. How many vanilla chips do they have together? ** Together they have 20+15 = <<20+15=35>>35 vanilla chips. How many chips do they have together? ** Together they have 35+55 = <<35+55=90>>90 chips #### 90 In a card game, you are awarded 10 points if you win one round. While playing, Jane ends up with 60 points. If she lost 20 points, then how many rounds did she play? How many points did Jane accumulate? ** If Jane got 60 points and lost 20 points then the total number of points she accumulated in all the rounds was 60+20 = <<60+20=80>>80 points. How many rounds did Jane play? ** If each round is awarded 10 points, then the number of rounds will be 80/10 = <<80/10=8>>8 rounds. #### 8 In a jar that has 50 ants, the number of ants in the jar doubles each hour. How many ants will be in the jar after 5 hours? How many ants are there after the first hour? ** After first hour, 50 * 2 = <<50*2=100>>100 ants. How many ants are there after the second hour? ** After the second hour, 100 * 2 = <<100*2=200>>200 ants. How many ants are there after the third hour? ** After the third hour, 200 * 2 = <<200*2=400>>400 ants. How many ants are there after the fourth hour? ** After the fourth hour, 400 * 2 = <<400*2=800>>800 ants. How many ants are there after the fifth hour? ** After the fifth hour, 800 * 2 = <<800*2=1600>>1600 ants. #### 1600 Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used 75 toothpicks. The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house? How many cards did Eugene use? ** If Eugene used all but 16 of the 52 cards, then he used 52-16=<<52-16=36>>36 cards. How many toothpicks does a box of toothpicks contain? ** If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450/75=<<450/75=6>>6 cards. How many boxes of toothpicks did Eugene use? ** Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36/6=<<36/6=6>>6 boxes of toothpicks. #### 6 Jeff committed to run for an hour a day during weekdays. On Thursday, he cut short his run by 20 minutes but was able to jog 10 minutes more on Friday. How many minutes was he able to run for that week? How many minutes was Jeff able to run for that week? ** Jeff was able to run a total of 60 x 3 = <<60*3=180>>180 minutes from Monday to Wednesday. How many minutes did Jeff run on Thursday? ** On Thursday, Jeff ran for 60 - 20 = <<60-20=40>>40 minutes only. How many minutes did Jeff run on Friday? ** On Friday, he ran for 60 + 10 = <<60+10=70>>70 minutes. How many minutes was Jeff able|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>|end ** Therefore, Jeff ran a total of 180 + 40 + 70 = <<180+40+70=290>>290 minutes. #### 290 Noemi lost $400 on roulette and $500 on blackjack. How much money did Noemi begin with if she still had $800 in her purse? How much money did Noemi lose? ** The total amount of money that she lost is $400+$500 = $<<400+500=900>>900 How much money did Noemi begin with? ** If she remained with $900, she initially had $900+$800 = $<<900+800=1700>>1700 #### 1700 Randy has some money in his piggy bank. He spends 2 dollars every time he goes to the store. He makes 4 trips to the store every month. If he had $104 dollars left in his piggy bank after a year, how much money, in dollars, did he have at first? How much money does Randy spend every month? ** Randy spends 2*4=<<2*4=8>>8 dollars every month. How much money does Randy spend in a year? ** Randy spends 8*12=<<8*12=96>>96 dollars in a year. How much money did Randy have at first? ** Randy had 96+104=<<96+104=200>>200 dollars in his piggy bank at first. #### 200