Nancy carves statues out of jade. A giraffe statue takes 120 grams of jade and sells for $150. An elephant statue takes twice as much jade and sells for $350. If Nancy has 1920 grams of jade, how much more money will she make turning it all into elephants instead of giraffes?
First find how many giraffe statues Nancy can make by dividing the total amount of jade by the amount used per giraffe statue: 1920 g / 120 g/giraffe =
<<1920/120=16>>16 giraffes Then multiply that number by the price per giraffe to find how much Nancy earns total from giraffes: 16 giraffes * $150/giraffe = $<<16*150=2400>>2400 Then find how much jade each elephant statue uses by doubling the jade used by the giraffe statues: 120 g/giraffe * 2 = <<120*2=240>>240 g/elephant Then find how many elephant statues Nancy can make by dividing the total amount of jade by the amount used per elephant statue: 1920 g / 240 g/elephant = <<1920/240=8>>8 elephant Multiply that number by the price per elephant to find Nancy's total earnings from elephants: 8 elephants * $350/elephant = $<<8*350=2800>>2800 Finally, subtract Nancy's total earnings from the giraffes from her total earnings from the elephants to find the difference: $2800 - $2400 = $<<2800-2400=400>>400 #### 400 Lucca bought 200 pieces of bread. Lucca ate 1/4 of the pieces of bread in one day, and 2/5 of the remaining pieces the next day. If he ate half of the remaining pieces on the third day, calculate how many pieces of bread are remaining. On the first day, Lucca ate 1/4*200 = <<1/4*200=50>>50 pieces. The number of pieces remaining after the first day is 200-50 = <<200-50=150>>150 On the second day, Lucca ate 2/5*150 = <<2/5*150=60>>60 pieces of bread. The pieces of bread that remained after the second day is 150-60 = <<150-60=90>>90 If Lucca ate half of the remaining pieces of bread on the third day, he ate 1/2*90 = 45 pieces. The pieces of bread that are remaining after the third day are 90-45=<<90-45=45>>45. #### 45 Mr. Grey's house was worth $100,000. He sold the house to Mr. Brown at a profit of 10%. After one year, Mr. Brown sold the house to his other friend with a 10% loss. How much was Mr. Brown's selling price? Mr. Grey had a $100 000 x 10/100 = $<<100000*10/100=10000>>10,000 profit. So, Mr. Grey sold the house to Mr. Brown for $100 000 + $10 000 = $<<100000+10000=110000>>110,000. Mr. Brown sold the house $110 000 x 10/100 = $<<110000*10/100=11000>>11,000 less than its purchased price. Thus, Mr. Brown sold it for $110 000 - $11 000 = $99,000 to his friend. #### 99000 Parker wants to find out what the average percentage of kernels that pop in a bag is. In the first bag he makes, 60 kernels pop and the bag has 75 kernels. In the second bag, 42 kernels pop and there are 50 in the bag. In the final bag, 82 kernels pop and the bag has 100 kernels. In the first bag the proportion that pops is .8 because 60 / 75 = <<60/75=.8>>.8 In the second bag the proportion that pops is .84 because 42 / 50 = <<42/50=.84>>.84 In the third bag the proportion that pops is .82 because 82 / 100 = <<82/100=.82>>.82 The proportions totals 2.46 because .8 + . 84 + .82 = <<.8+.84+.82=2.46>>2.46 The average proportion is .82 because 2.46 / 3 = <<2.46/3=.82>>.82 The average percentage is 82 because .82 x 100 = <<.82*100=82>>82 #### 82 Grandma left $124,600 in her will. She gave half of it to her favorite grandchild, Shelby. The rest was to be evenly divided among the remaining 10 grandchildren. How many dollars did one of the remaining 10 grandchildren receive? Shelby = (1/2) * 124600 = $<<(1/2)*124600=62300>>62,300 Remaining 10 = 62,300/10 = $6230 Each of the remaining grandchildren would receive $6230. #### 6230 Jerry has an interesting novel he borrowed from a friend to read over the weekend. The book has 93 pages. On Saturday, he reads 30 pages. On Sunday, he goes to church and comes back, sits down, and reads 20 pages of the book. How many pages are remaining before Jerry can finish the book? When Jerry reads 30 pages on Saturday, he would be remaining with 93-30 = <<93-30=63>>63 pages. After reading an additional 20 pages on Sunday, he would be remaining with 63 – 20 = <<63-20=43>>43 pages. #### 43 Ricky has 40 roses. His little sister steals 4 roses. If he wants to give away the rest of the roses in equal portions to 9 different people, how many roses will each person get? After Ricky’s little sister takes 4 roses, Ricky has 40 - 4 = <<40-4=36>>36 roses Ricky can give each person 36 / 9 = <<36/9=4>>4 roses #### 4 Luther made 12 pancakes for breakfast. His family has 8 people. How many more pancakes must he make for everyone to have a second pancake? In order for everyone to have seconds, Luther must make 8 x 2 = <<8*2=16>>16 pancakes. Luther must make another 16 - 12 = <<16-12=4>>4 pancakes. #### 4 Jill can run up a hill at 9 feet/second and down a hill at 12 feet/second. How long does it take her to run up and down a 900 foot hill? First find the time it takes Jill to run up the hill: 900 feet / 9 feet/second = <<900/9=100>>100 seconds Then find the time it takes Jill to run down the hill: 900 feet / 12 feet/second = <<900/12=75>>75 seconds Then add the two times to find Jill's total time: 100 seconds + 75 seconds = <<100+75=175>>175 seconds #### 175 Carl caused a car accident that resulted in $40,000 worth of property damage and $70,000 worth of medical bills. If Carl's insurance company will pay 80% of the costs, leaving Carl to pay the remaining 20%, how much does Carl personally owe? First find the total cost of the accident: $40,000 + $70,000 = $<<40000+70000=110000>>110,000 Then multiply the total cost by the percentage Carl has to pay to find his personal cost: $110,000 * .2 = $<<110000*.2=22000>>22,000 #### 22000