D. 1. At 8 cents apiece, how many rubber balls can be bought for 56 cents? ANALYSIS. Since 8 cents will buy 1 ball, 56 cents will buy as many balls as 8 cents are contained times in 56 cents, which are 7 times. Therefore, 56 cents will buy 7 balls. 2. William met 5 beggars, to whom he gave 35 cents: how much did he give to each? 3. At 10 cents each, how many citrons can I buy for 60 cents? 4. A teacher had 54 pupils, which she divided into 6 equal classes: how many did she put in a class? 5. Madeleine had 36 flowers, which she divided equally among 3 of her schoolmates: how many did she give to each? 6. In a certain lawn are 49 trees, which are arranged in 7 rows: how many trees are in a row? 7. Leonard paid 30 cents for 5 lead-pencils: what was that apiece? 8. A family of 8 persons used 56 pounds of butter in a month: how much was that to a person? 9. At 10 cents a pound, how many pounds of maplesugar can I buy for 90 cents? 10. If you have 60 cents, how many clusters of grapes can you buy, at 5 cents a cluster? 11. How long will it take to empty a cistern containing 54 barrels, if the faucet discharges 6 barrels an hour? 12. In a menagerie there are 10 cages, and 70 animals: how many animals do the cages average? 13. Henry went 7 times to the post-office, and took out 63 letters: how many did he get at a time? 14. At 8 cents a quart, how many quarts of cherries can you buy for 72 cents? 15. A gardener planted 108 hills of corn, putting 12 hills in a row: how many rows did he have? 16. If one man can do a piece of work in 48 days, how long will it take 8 men to do it? ANALYSIS.--8 men can do 8 days work in 1 day; therefore, to do 43 days work, it will take them as many days as 8 is contained times in 48, and 8 is in 48, 6 times. Ans. 6 days. 17. If 1 barrel of flour is sufficient to last 1 person 36 weeks, how long will it last 9 persons? 18. One man was left in charge of a fort with provisions adequate to last 63 days: how long would the provisions last 7 men? 19. By reading 1 hour a day, it takes Josephine 54 days to read a volume of history: how long will it take her, if she reads 6 hours a day? 20. I have a job which one man can do in 72 days: how long will it take 6 men to do it? E. 1. A farmer bought 6 yards of cloth, at 4 dollars a yard, and paid for it in wood, worth 3 dollars a cord: how many cords did it take to pay for the cloth? ANALYSIS.--Since 1 yard costs 4 dollars, 6 yards must cost 6 times 4, or 24 dollars. Again, if 3 dollars will buy 1 cord of wood, 24 dollars will buy as many cords as 3 dollars are contained times in 24 dollars, which are 8 times. Therefore, it took 8 cords to pay for the cloth. NOTE.-In this and similar examples, the general principle is, to find the cost of the goods, the price and quantity of which are given; then to find what quantity of the article taken in exchange is equivalent to this amount. 2. A grocer sold 3 pounds of tea, at 8 shillings a pound, and took his pay in butter, at 4 shillings a pound: how many pounds of butter did he receive for his tea? 3. George sold 10 pears, at 3 cents apiece, and took his pay in chestnuts, at 6 cents a quart: how many quarts of chestnuts did he receive? ? Times 8? 4. A man sold 12 sheep, at 3 dollars a head, and took flour in exchange, at 9 dollars a barrel: how many barrels of flour did he receive? 5. In 4 times 9, how many times 12 6. In 4 times 12, how many times 6? 7. In 6 times 10, how many times 5? Times 12? 8. A country lad sold 6 quarts of blackberries, at 12 cents a quart, and was paid in oranges, at 6 cents apiece: how many oranges did he receive? 9. Edward exchanged 12 apples, at 2 cents each, for bananas, at 3 cents each: how many bananas did he receive? 10. When cheese is 10 cents a pound, how many pounds will it take to pay for 20 quarts of cranberries, at 5 cents a quart? 11. In 8 times 6, how many times 4? 12. In 9 times 8, how many times 12? Times 6? Times 6? F. 1. John bought 12 pears at 3 cents apiece, and sold them at 5 cents apiece: how much did he make on his pears? ANALYSIS. Since he bought at 3 cents, and sold at 5 cents, he made 2 cents on each pear. As he made 2 cents on I pear, on 12 pears he made 12 times 2, or 24 cents. 2. A baker bought 8 barrels of flour, at 6 dollars a barrel, and sold the same, at 9 dollars a barrel: how much did he make? 3. If a grocer buys eggs, at 10 cents a dozen, and sells them, at 16 cents a dozen, how much will he make on 12 dozen ? 4. What is the difference between 9 times 6, and 7 times 9? 5. What is the difference between 12 times 5, and 6 times 12? 6. A woman bought strawberries, at 6 cents a quart, and sold them at 10 cents: if she sells 10 quarts in the morning and 8 in the afternoon, how much will she receive for her day's work? 7. If a merchant buys silk, at 9 shillings a yard, and sells it, at 7 shillings, how much will he lose on 12 yards? 8. What is the difference between 7 times 9, and 9 times 8? 9. A newsboy gives 3 cents apiece for his papers, and sells them, at 4 cents: how much does he make on 100 papers? 10. A man bought 12 acres of land, at 15 dollars an acre, and sold it, at 11 dollars: how much did he lose by the operation? II. A merchant bought 9 sable skins, at 12 dollars apiece, and sold them, at 20 dollars: how much did he make on them? 12. If I buy buffalo robes, at 4 dollars apiece, and sell them, at 10 dollars, how much shall I make on 10 robes ? 13. If you buy chestnuts, at 6 cents a quart, and sell them, at II cents a quart, how much will you make on 12 quarts? G. 1. William having 33 cents, wishes to lay it out in writing-books, which are 6 cents each: how many writing-books can he buy, and how many cents will he have over? ANALYSIS.--Since 6 cents will buy 1 writing-book, 33 cents will buy as many as 6 cents are contained times in 33 cents. Now 6 cents are contained in 33 cents, 5 times, and 3 over. Therefore, he can buy 5 writing-books, and have 3 cents over. 2. How many eggs, at 3 cents each, can be bought for 20 cents, and what remainder ? 3. How many live chickens, at 4 shillings each, can be bought for 32 shillings, and what remainder? 7 in 52 ? 6 in 57? 9 in 75? 4. How many times 7 in 45? 5. How many times 6 in 53? 6. In 58 how many times 9? 7. In 65 how many times 10? 8. If knives are 4 shillings apiece, how many can be bought for 42 shillings? 10 in 97 ? 9. How many mirrors, at 9 dollars apiece, can be bought for 75 dollars? 10. How many yards of silk, at 4 dollars a yard, can a laly buy for a 50 dollar bill, and how much change will she have left? 11. George bought a sled for 68 cents, and gare 5 quarts of chestnuts, at 10 cents a quart: how much did he owe for it? 12. If I buy a watch for 75 dollars, and pay 10 harrels of flour, at 7 dollars a barrel, how much shall I owe for the watch? 13. How many muffs, at 9 dollars each, can be had for 85 dollars? |