13. A merchant had 7 barrels of flour: he sold 5 barrels at $12 a barrel, and the remainder at $11 a barrel; how much did he receive for the lot? 14. Laura earns 72 cents in a day, Ada earns 60 cents in a day; how much more does Laura earn in 1 day than Ada? how much more in 9 days? 15. Josiah sold 2 quarts of raspberries to Mrs. Lamb for 27 cents, and 3 quarts to Mrs. Hewins at 11 cents a quart; how many cents did he receive for his raspberries? 16. With the money which he received, he paid 20 cents for a basket, and bought 3 apples at 2 cents apiece; how many cents had he left? 17. William is 11 years old: his father is 4 times as old, and 9 years more; how old is his father? 18. Arthur bought 7 pounds of dates at 12 cents a pound, and had 7 cents left; how many cents had he at first? 19. Mary has 37 flowers: if she makes 3 bouquets. putting 12 flowers into each, how many flowers will she have left? 20. Joseph sold 5 quarts of berries at 10 cents a quart, and received in payment 4 pounds of rice at 9 cents a pound, and the rest in money; how much money Idid he receive? 21. A merchant bought 6 barrels of pork at $12 a barrel, and gave in payment 5 cords of wood at $11 a cord, and the rest in money; how many dollars did he pay in money? 32. 1. Four 6's, less 5, less 8, are how many? 5. Multiply 3 by 5, add 2, add 3, subtract 2, sub tract 10, multiply by 5, add 15; how many have you? 6. Take 1, add 5, add 7, subtract 8, multiply by 11, subtract 5, subtract 5, subtract 20, subtract 20, add 1, multiply by 9; how many have you? 7. Think of any number less than 7, multiply that number by 5, subtract 3 numbers equal to the number thought of, add 2, add 4, take away 5, subtract two numbers equal to the number thought of; what number have you? NOTE. The teacher can excite a lively interest in combining numbers rapidly, by giving the pupils impromptu exercises similar to the above. 33. 1. How many are four 23's? Solution. 23 equals 20 plus 3; four 20's are 80, and four 3's are 12; which, added to 80, make 92. 2. How many are two 13's? 22's? 35's? 46's ? 3. How many are three 21's? 18's? 36's? 40's? 4. How many are four 22's? 13's? 19's? 25's? 5. How many are five 16's? 17's? 28's? 22's? 6. How many are six 13's? 17's? 19's? 21's? 7. How many are seven 14's? 20's? 17's? 19's? 8. How many are eight 13's? 16's? 18's? 19's? 9. How many are nine 15's? 14's? 19's? 18's? 10. How many are ten 14's? 16's? 13's? 17's? NOTE. If the teacher desires to have multiples larger than those given the Multiplication Tables, page 33, committed to memory, the pupil car fonstruct tables for himself in the following manner, and commit them from is slate or paper: For Slate Exercises in Multiplication, see pages 165 to 167. 34. 1. Charles had 6 peaches, which are just enough to give 1 peach to each of his sisters; how many sisters has he? 2. Albert can carry 4 sticks of wood into the house at a time; how many times must he go to carry in 8 sticks? 3. How many armfuls, of 4 sticks each, must be taken away to remove a pile of 16 sticks? 4. How many desks will be required to seat 10 scholars, if 2 scholars can sit at each desk? 5. If in a class there are 15 scholars sitting in rows, and in each row there are 3 scholars, how many rows are there? 6. In a procession, there were 16 boys walking in ranks of 2 boys each; how many ranks were there? 7. If the 16 boys had walked in ranks of 4 boys each, how many ranks would there have been? 8. If there are 2 oxen in a yoke of yoke will 18 oxen make? oxen, how many 9. A man can build 5 rods of fence in a day; how many days will it take him to build 20 rods? 10. How many 2's are there in 12? in 10? in 18? in 14? in 2? in 16? in 20? in 24? 11. How many 3's are there in 12? in 21? in 15? in 18? in 27? in 30? in 36? in 24? 12. How many 4's are there in 44? in 12? in 16? in 20? in 28? in 36? in 44? in 32? 13. How many 5's are there in 10? in 15? in 20? in 30? in 25? in 45? in 50? in 55? 14. How many 6's are there in 12? in 18? in 24? in 42? in 54? in 36? in 48? in 66? in 72? 15. How many 7's are there in 14? in 28? in 42? in 56? in 77? in 63? in 49? in 35? in 84? in 45? in 54? 16. How many 8's are there in 24? in 40? in 64? in 96? in 88? in 32? in 48? in 56? in 16? 17. How many 9's are there in 27? in 36? in 81? in 63? in 72? in 99? in 108? 18. How many 10's are there in 30? in 50? in 80' in 110? in 40? in 20? in 70? in 100? in 90? 19. How many 11's are there in 66? in 88? in 33? in 44? in 22? in 99? in 110? in 77? in 121? 20. How many 12's are there in 36? in 24? in 48? in 96? in 84? in 120? in 108? in 60? in 132? 35. 1. How many oranges, at 5 cents apiece, can be bought for 15 cents? * Solution. If 1 orange costs 5 cents, as many oranges can be bought for 15 cents as there are 5's in 15: there are three 5's in 15; therefore, 3 oranges at 5 cents apiece can be bought for 15 cents. 2. How many hats, at $7 apiece, can be bought for $21? for $35? Why? 3. At 9 cents a loaf, how many loaves of bread can be bought for 45 cents? for 108 cents? 4. How many barrels of flour, at $12 a barrel, can be bought for $60? for $96? 5. Mr. Flint gave 30 apples to some boys, giving 5 apples to each; how many boys were there? 6. To how many boys could Mr. Flint have given the apples, if he had given them 6 apples apiece? 7. If Timothy can earn $5 in a week, in how weeks can he earn $60? *If preferred the following solution can be given. many SOLUTION. If 5 cents will buy 1 orange, 15 cents, which is three 5's of cents, will buy 3 oranges; therefore, etc. 8. How many pounds of sugar, at 9 cents a pound, can be bought for 72 cents? How many at 8 cents? 9. If the board of a family for 1 week is $11, how many weeks' board can be obtained for $44? 10. In 1 week there are 7 days; how many weeks are there in 63 days? 11. If a steamboat can go 12 miles in one hour, in hours can she go 120 miles? how many 12. If it takes 8 yards of cloth to make a suit of clothes, how many suits can be made from 64 yards? 13. A farmer put 24 bushels of wheat into bins, each bin containing 8 bushels; how many bins were used? 14. The farmer afterwards put these 24 bushels of wheat into bags for market, putting 2 bushels in each bag; how many bags did he fill? DIVISION, Section XIV. SUBTRACTIVE FORM: EXAMPLES IN MULTIPLICATION AND DIVISION COMBINED. 36. 1. 4 are how many 2's? 4's? 1's? 2. 8 are how many 2's? 4's? 8's? 3. 10 are how many 2's? 5's? 4. 14 are how many 2's? 7's? 5. 15 are how many 3's? 5's? 6. 22 are how many 2's? 11's? 7. 33 are how many 3's? 11's? 8. 35 are how many 5's? 7's? 9. 42 are how many 6's? 7's? 2's? 10. 44 are how many 4's? 11's? 22's? 11. 49 are how many 7's? 1's? 12. 54 are how many 9's? 6's? 2's? |