Bert fills out the daily crossword puzzle in the newspaper every day. He uses up a pencil to fill out the puzzles every two weeks. On average, it takes him 1050 words to use up a pencil. How many words are in each crossword puzzle on average?

How many days does it take Bert to use up a pencil? ** At 7 days a week, it takes Bert 2 * 7 =

<<2*7=14>>14 days of daily crossword puzzles to use up a pencil. How many words are in each crossword puzzle on average? ** Since Bert does one puzzle a day, each crossword puzzle has 1050 / 14 = <<1050/14=75>>75 words. #### 75 There were sweets on the table. Jack came and took half of all the candies and 4 more candies. Then Paul came and took the remaining 7 sweets. How many sweets were on the table at first? How many candies were half of all candies? ** Jack took 4 more candies than the half, and Paul took the rest, which means 7 + 4 = 11 candies were half of all candies. How many candies were there at first? ** That means at first there were 11 * 2 = <<11*2=22>>22 candies. #### 22 Basil gets 1/2 of a dog cookie in the morning and before bed. She gets 2 whole cookies during the day. Basil’s cookies are packaged with 45 cookies per box. How many boxes will she need to last her for 30 days? How many cookies does Basil get in the morning and at bedtime? ** Basil gets 1/2 in the morning and 1/2 at bedtime so she gets 1/2+1/2 = <<1/2+1/2=1>>1 whole cookie How many cookies does Basil get during the day? ** Basil also gets 2 whole cookies during the day so all total she gets 2+1 =<<2+1=3>>3 whole cookies How many cookies does Basil need to last her for 30 days? ** She needs cookies for 30 days and eats 3 a day so she needs 30*3 = <<30*3=90>>90 cookies How many boxes will Basil need to last her for 30 days? ** Her cookies come 45 per box and she needs 90 cookies so she needs 90/45 = <<90/45=2>>2 boxes of cookies #### 2 It costs $.10 to print one page. Jenny wants to print 7 copies of her 25-page essay. She also wants to buy 7 pens that each cost $1.50. If she pays the store with 2 twenty dollar bills, how much money should she get in change? How many pages does Jenny need to print? ** Jenny needs to print 7*25= <<7*25=175>>175 pages. How much will it cost to print 175 pages? ** This will cost 175*$.10 =$<<175*.10=17.5>>17.5. How much will the pens cost? ** The pens will cost 7*$1.50=$<<7*1.5=10.50>>10.50. How much will Jenny spend in total? ** In total, she will spend $17.5+$10.5=$<<17.5+10.5=28>>28. How much money does Jenny pay with? ** Since she pays with 2 twenty dollar bills she pays with 2*20=<<2*20=40>>40 dollars. How much money should Jenny get in change? ** Thus, she will get $40-$28=$<<40-28=12>>12 in change. #### 12 240 sixth-grade students were asked about the number of novels they read per month. 1/6 of students read three or more novels, 35% of students read two novels, 5/12 of students read one novel, and the rest of the students do not read anything. Calculate the number of students who do not read novels. How many students read three or more novels? ** 1/6 * 240 students = <<1/6*240=40>>40 students. So 40 students read three or more novels. How many students read two novels? ** 35/100 * 240 students = <<35/100*240=84>>84 students. So 84 students read two novels. How many students read a novel? ** 5/12 * 240 students = <<5/12*240=100>>100 students. So 100 students read a novel. How many students do not read novels? ** 240 students – (40 students + 84 students + 100 students) = 240 students – 224 students = <<240-(40+84+100)=16>>16 students. So 16 students don't read novels. #### 16 Carrie is wrapping three birthday presents. One present needs two square feet of wrapping paper to cover. The second present needs three-quarters of that amount. The third present needs the same amount as both other presents put together. How many square feet of wrapping paper does Carrie need for all three presents? How many square feet of wrapping paper does the second present need? ** The second present needs 3 / 4 * 2 = 1 1/2 square feet of wrapping paper. How many square feet of wrapping paper does the third present need? ** The third present needs 2 + 1 1/2 = 3 1/2 square feet of wrapping paper. How many square feet of wrapping paper does Carrie need for all three presents? ** Therefore, Carrie needs 2 + 1 1/2 + 3 1/2 = 7 square feet of wrapping paper for all three presents. #### 7 Tommy is making 12 loaves of bread. He needs 4 pounds of flour per loaf. A 10-pound bag of flour costs $10 and a 12-pound bag costs $13. When he is done making his bread, he has no use for flour and so he will throw away whatever is left. How much does he spend on flour if he buys the cheapest flour to get enough? How many pounds of flour does Tommy need? ** He needs 48 pounds of flour because 12 x 4 = <<12*4=48>>48 How many bags of 10 pound bags does Tommy need? ** He needs 4.8 bags of 10 pound bags because 48 / 10 = <<48/10=4.8>>4.8 How many bags of flour does Tommy need? ** He therefore needs to buy 5 bags of flour because 4 < 4.8 < 5 How much does Tommy spend on flour if he buys the cheapest flour to get enough? ** He spends $50 if he buys this flour because 5 x 10 = <<5*10=50>>50 How many bags of 12-pound flour does Tommy need? ** He needs 4 bags of the 12-pound flour because 48 / 12 = <<48/12=4>>4 How much would Tommy spend on the 12-pound bags? ** He would spend $52 on the 12-pound bags because 4 x 13 = 52 How much does Tommy spend on flour if he buys the cheapest flour to get enough? ** He spends $50 if he buys the cheapest flour because 50 < 52 #### 50 Cary is an engineer in charge of designing an irrigation system for three farmers. Farmer Bob grows 3 acres of corn, 9 acres of cotton, and 12 acres of beans. Farmer Brenda grows 6 acres of corn, 7 acres of cotton, and 14 acres of beans. Farmer Bernie grows 2 acres of corn and 12 acres of cotton. If corn takes 20 gallons of water an acre, cotton takes 80 gallons of water an acre, and beans take twice as much water as corn, what percentage of the total water used will go to Farmer Bob's farm? How many gallons of water does corn take? ** First figure out how much water beans take by multiplying the water use for corn by 2: 20 gallons/acre * 2 = <<20*2=40>>40 gallons/acre How many gallons of water does Bob use? ** Next, calculate Bob's water use by multiplying each plant's water use per acre by the number of acres he planted, then adding up the total water use for all three crops: 3 * 20 + 9 * 80 + 12 * 40 = <<3*20+9*80+12*40=1260>>1260 How many gallons of water does Brenda use? ** Now do the same thing for Brenda: 6 * 20 + 7 * 80 + 14 * 40 = <<6*20+7*80+14*40=1240>>1240 How many gallons of water does Bernie use? ** And do the same thing for Bernie: 2 * 20 + 12 * 80 = 1000 How many gallons of water does each farmer use? ** Now add up each farmer's water use to find the total water use: 1260 + 1240 + 1000 = <<1260+1240+1000=3500>>3500 What percentage of the water did Bob use? ** Now divide Bob's water use by the total water use and multiply by 100 to find what percentage of the water he used: 1260 / 3500 * 100 = <<1260/3500*100=36>>36% #### 36 Tommy wants to earn enough money to buy 8 new books. Each book costs $5. If Tommy already has $13, how much does he need to save up? How much will the books cost? ** The books will cost $40 because 8 x 5 = <<8*5=40>>40 How much does Tommy need to save up? ** He needs to save up $27 because 40 - 13 = <<40-13=27>>27 #### 27 Parker is 4 inches shorter than Daisy. Daisy is 8 inches taller than Reese. If Reese is 60 inches tall, what is the average height for the three of them? How tall is Daisy? ** Since Daisy is 6 inches taller than Reese, she must be 60 inches + 8 inches = 68 inches tall. How tall is Parker? ** Parker is 4 inches shorter than Daisy, making her 68 inches – 4 inches = <<68-4=64>>64 inches. What is the average height of the three of them? ** The average height of the three of them is (60 inches + 68 inches + 64 inches) / 3 = <<(60+68+64)/3=64>>64 inches. #### 64