Raj's house has an area equal to 1,110 square feet. It has 4 bedrooms that each measure 11 x 11 feet. There are 2 bathrooms that are 6 x 8 feet each. The kitchen and living area complete the home and they have the same sized area. How many square feet is the area of the kitchen?
What is the area of 1 bedroom? ** Area of 1 bedroom = 11 * 11 =
<<11*11=121>>121 square feet What is the area of 4 bedrooms? ** Area of 4 bedrooms = 121 * 4 = <<121*4=484>>484 square feet What is the area of 1 bathroom? ** Area of 1 bathroom = 6 * 8 = <<6*8=48>>48 square feet What is the area of 2 bathrooms? ** Area of 2 bathrooms = 2 * 48 = <<2*48=96>>96 square feet What is the area of all bedrooms and bathrooms? ** Area of all bedrooms and bathrooms = 484 + 96 = <<484+96=580>>580 square feet What is the area of the kitchen and the living room? ** Kitchen + living room = 1,110 - 580 = <<1110-580=530>>530 What is the area of the kitchen? ** Kitchen = 530/2 = <<530/2=265>>265 What is the area of the kitchen? ** The kitchen is 265 square feet. #### 265 For breakfast, Daisy bought a muffin for $2 and a cup of coffee for $4. For lunch, Daisy had soup, a salad, and lemonade. The soup cost $3, the salad cost $5.25, and the lemonade cost $0.75. How much more money did Daisy spend on lunch than on breakfast? How much did Daisy spend on breakfast? ** For breakfast Daisy spent $2 + $4 = $<<2+4=6>>6. How much did Daisy spend on lunch? ** For lunch Daisy spent $3 + $5.25 + $0.75 = $<<3+5.25+0.75=9>>9. How much more money did Daisy spend on lunch than on breakfast? ** Daisy spent $9 - $6 = $<<9-6=3>>3 more on lunch than on breakfast. #### 3 Stanley sold 4 cups of lemonade an hour. His brother, Carl, sold 7 cups of lemonade an hour. How many more cups did Carl sell than Stanley in 3 hours? How many cups did Stanley sell in 3 hours? ** Stanley sold 4 x 3 = <<4*3=12>>12 cups How many cups did Carl sell in 3 hours? ** Carl sold 7 x 3 = <<7*3=21>>21 cups How many more cups did Carl sell than Stanley in 3 hours? ** Carl sold 21 - 12 = <<21-12=9>>9 cups more than Stanley #### 9 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? How many giraffe statues can Nancy make? ** 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 How much money does Nancy earn from 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 How much jade does each elephant statue use? ** 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 How many elephant statues can Nancy make? ** 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 How much money does Nancy earn from elephants? ** Multiply that number by the price per elephant to find Nancy's total earnings from elephants: 8 elephants * $350/elephant = $<<8*350=2800>>2800 How much more money will Nancy make turning it all into elephants instead of giraffes? ** 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. How many pieces of bread did Lucca eat on the first day? ** On the first day, Lucca ate 1/4*200 = <<1/4*200=50>>50 pieces. How many pieces of bread are remaining after the first day? ** The number of pieces remaining after the first day is 200-50 = <<200-50=150>>150 How many pieces of bread did Lucca eat on the second day? ** On the second day, Lucca ate 2/5*150 = <<2/5*150=60>>60 pieces of bread. How many pieces of bread are remaining after the second day? ** The pieces of bread that remained after the second day is 150-60 = <<150-60=90>>90 How many pieces of bread did Luca eat on the third day? ** If Lucca ate half of the remaining pieces of bread on the third day, he ate 1/2*90 = 45 pieces. How many pieces of bread are remaining after the third day? ** 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? How much was Mr. Grey's profit? ** Mr. Grey had a $100 000 x 10/100 = $<<100000*10/100=10000>>10,000 profit. How much did Mr. Grey sell the house to Mr. Brown for? ** So, Mr. Grey sold the house to Mr. Brown for $100 000 + $10 000 = $<<100000+10000=110000>>110,000. How much did Mr. Brown sell the house for? ** Mr. Brown sold the house $110 000 x 10/100 = $<<110000*10/100=11000>>11,000 less than its purchased price. How much did Mr. Brown sell the house to his friend for? ** 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. How many kernels pop in the first bag? ** In the first bag the proportion that pops is .8 because 60 / 75 = <<60/75=.8>>.8 How many kernels pop in the second bag? ** In the second bag the proportion that pops is .84 because 42 / 50 = <<42/50=.84>>.84 How many kernels pop in the third bag? ** In the third bag the proportion that pops is .82 because 82 / 100 = <<82/100=.82>>.82 What is the total proportion of kernels that pop? ** The proportions totals 2.46 because .8 + . 84 + .82 = <<.8+.84+.82=2.46>>2.46 What is the average proportion? ** The average proportion is .82 because 2.46 / 3 = <<2.46/3=.82>>.82 What is the average percentage? ** 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? How much money did Shelby get? ** Shelby = (1/2) * 124600 = $<<(1/2)*124600=62300>>62,300 How much money did one of the remaining 10 grandchildren receive? ** Remaining 10 = 62,300/10 = $6230 How much money did one of the remaining 10 grandchildren receive? ** 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? How many pages are remaining after Saturday? ** When Jerry reads 30 pages on Saturday, he would be remaining with 93-30 = <<93-30=63>>63 pages. How many pages are remaining after Sunday? ** 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? How many roses does Ricky have after his little sister takes 4 roses? ** After Ricky’s little sister takes 4 roses, Ricky has 40 - 4 = <<40-4=36>>36 roses How many roses can Ricky give each person? ** Ricky can give each person 36 / 9 = <<36/9=4>>4 roses #### 4