Johnson owns a hectare cornfield that can yield 80 corn every two months, while his neighbor owns a two-hectare cornfield and each hectare can yield twice the amount as Johnson. How much corn can they harvest altogether after six months?

Each hectare of Johnson's neighbor can yield 80 x 2 =

<<80*2=160>>160 corns every two months. So, the neighbor's two-hectare cornfield can yield a total of 160 x 2 = <<160*2=320>>320 corns every two months. They yield a total of 80 + 320 = <<80+320=400>>400 corns. Therefore, They can harvest 400 x 3 = <<400*3=1200>>1200 corns altogether. #### 1200 If Brooke adds eight balloons to his current 12, and Tracy adds 24 to her current 6, how many balloons will they have in total if Tracy pops half of her balloons? When Brooke gets twelve more balloons, his total becomes 12+8 = <<12+8=20>>20 When Tracy adds 24 more balloons to her 6, her total number of balloons becomes 24+6 = <<24+6=30>>30 When half of Tracy's balloons pop, she remains with 1/2*30 =<<1/2*30=15>>15 The combined total balloons for the two is 15+20 = <<15+20=35>>35 balloons #### 35 Steven is preparing a shipment of boxes to deliver to a customer for his chemical supply business. The products are very delicate and must be carefully packed, so partially filled boxes can’t be shipped. Steven has three trucks that can be sent on each delivery. Each truck can carry a load of no more than 2,000 pounds of cargo. Some of the boxes weigh 10 pounds after being packed, and some of the boxes weigh 40 pounds when packed. Steven’s customer has ordered equal quantities of both the lighter and heavier products. How many boxes of products can Steven ship to his customer in each delivery? Each pair of boxes weighs 40 pounds + 10 pounds, or <<40+10=50>>50 pounds. Each pair weighs 50 pounds, so the delivery trucks can carry 2000 / 50 pairs of boxes or <<2000/50=40>>40 pairs. Steven has three trucks, so each trip can move 40 * 3 pairs of boxes = <<40*3=120>>120 pairs of boxes. Each pair is a set of two boxes, so each delivery contains 120 * 2 boxes = <<120*2=240>>240 boxes #### 240 If farmer Steven can use his tractor to plow up to 10 acres of farmland per day, or use the same tractor to mow up to 12 acres of grassland per day, how long would it take him to plow his 55 acres of farmland and mow his 30 acres of grassland? At a rate of 10 acres per day, he can plow his 55 acres of farmland in 55/10=<<55/10=5.5>>5.5 days. At a rate of 12 acres per day, he can mow his 30 acres of grassland in 30/12=2.5 days. Altogether, it would take him 5.5+2.5=<<5.5+2.5=8>>8 days to completely mow and plow his land. #### 8 Darla needs to pay $4/watt of electricity for 300 watts of electricity, plus a $150 late fee. How much does she pay in total? First find the total cost of the electricity: $4/watt * 300 watts = $<<4*300=1200>>1200 Then add the late fee: $1200 + $150 = $<<1200+150=1350>>1350 #### 1350 Building one birdhouse requires 7 planks and 20 nails. If 1 nail costs $0.05, and one plank costs $3, what is the cost, in dollars, to build 4 birdhouses? The cost of the planks for one birdhouse is 7 * 3 = $<<7*3=21>>21. And the nails are a cost of 20 * 0.05 = $<<20*0.05=1>>1 for each birdhouse. So to build one birdhouse one will need 21 + 1 = $<<21+1=22>>22. So the cost of building 4 birdhouses is at 4 * 22 = $<<4*22=88>>88. #### 88 The Donaldsons pay $15 per hour for babysitting. The Merck family pays $18 per hour and the Hille family pays $20 per hour for babysitting. Layla babysat for the Donaldsons for 7 hours, the Merck family for 6 hours and the Hille family for 3 hours. How many dollars did Layla earn babysitting? Donaldsons pay $15/hour = 15*7 = $<<15*7=105>>105. The Mercks pay $18/hour = 18*6 = $<<18*6=108>>108. The Hilles pay $20/hour = 20*3 = <<20*3=60>>60. The total amount Layla earned is 105 + 108 + 60 = <<105+108+60=273>>273. Layla earned $273 for babysitting. #### 273 A secretary who has been working for 6 years and who earns €10,000 a month has obtained a salary increase of 2%. What is her new salary? We have the amount the salary will increase: 10000 * 2 / 100 = <<10000*2/100=200>>200€ So the new salary is: 10000 + 200= <<10000+200=10200>>10200€ #### 10200 Tim drops a ball off the roof of a 96-foot tall building. The ball bounces to half the height from which it fell on each bounce. How high will it bounce on the fifth bounce? On the first bounce, it will reach a height of 96 / 2 = <<96/2=48>>48 feet. On the second bounce, it will reach a height of 48 / 2 = <<48/2=24>>24 feet. On the third bounce, it will reach a height of 24 / 2 = <<24/2=12>>12 feet. On the fourth bounce, it will reach a height of 12 / 2 = <<12/2=6>>6 feet. On the fifth bounce, it will reach a height of 6 / 2 = <<6/2=3>>3 feet. #### 3 Roger bought a house for $100,000. He was able to pay 20% down, and his parents paid off an additional 30% of the remaining balance. How much money does Roger still owe on his house? 100000(.20)=20000$ down payment 100000-20000=$<<100000-20000=80000>>80000 remaining 80000(.30)=24000 80000-24000=<<80000-24000=56000>>56000$ #### 56000