Peter and Kristin are to read 20 fantasy novels each in a week. Peter can read three times as fast as Kristin. If Peter reads one book in 18 hours, how long will Kristin read half of her books?

Since Peter reads three times as fast as Kristin, Kristin will take 18*3 =

<<18*3=54>>54 hours to read one book. Kristin reads half of her books, a total of 20/2 = <<20/2=10>>10 books. The time Kristin will take to read half of her books is 10*54 = <<10*54=540>>540 #### 540 There are 6 times as many lab coats as uniforms in the lab. The number of lab techs is half of the number of uniforms. If there are 12 uniforms in the lab, and the lab techs share the coats and uniforms equally among them, how many coats and uniforms in total does each lab tech get? If there are 12 uniforms, and the lab coats are 6 times as many as the number of uniforms, there are 6*12 = <<12*6=72>>72 lab coats. The total number of lab coats and uniforms in the lab is 72+12 = <<72+12=84>>84 If the number of lab techs is half the number of uniforms, then there are 12/2 = <<12/2=6>>6 lab techs If they share the lab coats and uniforms equally, each lab tech will get 84/6 = <<84/6=14>>14 lab coats and uniforms. #### 14 David finished his homework in 60 minutes. He spent 15 minutes on his math homework and 18 minutes on his spelling homework. He spent the rest of the time reading for his daily reading log. How many minutes did he spend reading? He spent 15 + 18 = <<15+18=33>>33 minutes doing homework. David spent 60 - 33 = <<60-33=27>>27 minutes reading. #### 27 Last year, Jorge planted corn on all of his 60 acres of property. Typically, corn grown on good soil yields 400 bushels per acre, but in clay-rich soil, the yield is only half as much per acre as in good soil. One-third of Jorge's 60 acres of land is clay-rich soil and the rest is good soil. How many bushels of corn did Jorge's land yield last year? Jorge has 60 * (1/3) = <<60*(1/3)=20>>20 acres of clay-rich soil. He has 60 - 20 = <<60-20=40>>40 acres of good soil. At 400 bushels per acre, his 40 acres of good soil produced 40 * 400 = <<400*40=16000>>16,000 bushels of corn. If good soil produces 400 bushels per acre, clay-rich soil produces 400 / 2 = <<400/2=200>>200 bushels per acre. At 200 bushels per acre, his 20 acres of clay-rich soil produced 20 * 200 = <<200*20=4000>>4,000 bushels of corn. Altogether, his land produced 16,000 + 4,000 = <<16000+4000=20000>>20,000 bushels of corn. #### 20000 Jerry is making cherry syrup. He needs 500 cherries per quart of syrup. It takes him 2 hours to pick 300 cherries and 3 hours to make the syrup. How long will it take him to make 9 quarts of syrup? First find how many cherries Jerry can pick in one hour: 300 cherries / 2 hours = <<300/2=150>>150 cherries/hour Then multiply the number of quarts of syrup by the number of cherries per quart to find the total number of quarts Jerry needs: 500 cherries/quart * 9 quarts = 4500 cherries Then divide the total number of cherries by the number of cherries he picks per hour to find the number of hours the cherry-picking takes: 4500 cherries / 150 cherries/hour = <<4500/150=30>>30 hours Then add the time it takes him to make the syrup to find the total time: 30 hours + 3 hours = <<30+3=33>>33 hours #### 33 Camille saw 3 cardinals and four times as many robins as cardinals while bird watching. She also saw twice as many blue jays as cardinals and 1 more than three times as many sparrows as cardinals. How many birds did Camille see? Camille saw 3 x 4 = <<3*4=12>>12 robins. She also saw 3 x 2 = <<3*2=6>>6 blue jays. Triple the number of cardinals is 3 x 3 = <<3*3=9>>9. So, she saw 9 + 1 = <<9+1=10>>10 sparrows. Therefore, Camille saw 3 + 12 + 6 + 10 = <<3+12+6+10=31>>31 birds. #### 31 Jackson is making dinner. He makes a salad out of lettuce (50 calories), carrots (twice the calories of the lettuce) and dressing (210 calories). He also makes a pizza with 600 calories for the crust, 1/3 the crust's calories for the pepperoni, and 400 calories for the cheese. If Jackson eats 1/4 of the salad and 1/5 of the pizza, how many calories does he eat? First find the number of calories in the carrots: 50 calories * 2 = <<50*2=100>>100 calories Then find the total calories in the salad: 100 calories + 50 calories + 210 calories = <<100+50+210=360>>360 calories Then find the number of calories in the pepperoni: 1/3 * 600 calories = <<1/3*600=200>>200 calories Now find the total number of calories in the pizza: 200 calories + 600 calories + 400 calories = <<200+600+400=1200>>1200 calories Now find how many calories are in Jackson's portion of the salad: 360 calories * 1/4 = <<360*1/4=90>>90 calories Now find how many calories are in Jackson's portion of the pizza: 1200 calories * 1/5 = <<1200*1/5=240>>240 calories Now find the total calories Jackson ate: 90 calories + 240 calories = <<90+240=330>>330 calories #### 330 Patricia has 4 barrels of 7 gallons each. All of them are empty, and there's only one faucet with a flow rate of 3.5 gallons per minute. How many minutes will it take to fill all 4 barrels? If Patricia has 4 barrels and each barrel has 7 gallons, then in total she needs 4*7=<<4*7=28>>28 gallons If the faucet can provide 3.5 gallons every minute, then she will need 28/3.5=<<28/3.5=8>>8 minutes to fill all 4 barrels #### 8 Julieta went to the store to buy a backpack and three ring-binders for her school supplies. She knew the backpack was $50, and each ring-binder cost was $20. However, at the store, she found out that the price of a back had increased by $5, and the price of a ring-binder had reduced by $2. Calculate the total amount of money Julieta spent at the store. Initially, a backpack cost was $50; when it increased by $5, the price became $50+$5 = $<<50+5=55>>55 The price of a ring-binder $20, when it reduced by $2, the price became $20-$2 = $<<20-2=18>>18 If she wanted to buy 3 ring-binders, she spent $18*3 = $<<18*3=54>>54 In total, Julieta spent $55+$54 = $<<55+54=109>>109 #### 109 Haley, Michael and Brandon were trying a marshmallow challenge to see who could hold more marshmallows in their mouths. Haley could hold 8 marshmallows in her mouth. Michael could hold 3 times as many marshmallows as Haley. Brandon could hold half as many as Michael. How many total marshmallows did all three kids hold in their mouths? Haley held <<8=8>>8 marshmallows. Michael held 3 times Haley's, so he held 8 x 3 = <<3*8=24>>24 marshmallows Brandon held half as many marshmallows as Michael, so he held 24 / 2 = <<24/2=12>>12 marshmallows Together, they held 8 + 24 + 12 = <<8+24+12=44>>44 marshmallows. #### 44