355. Oral Problems. REVIEW. 1. Out of 500 pupils, 50 are absent. What is the per cent of attendance ? 2. A can do a piece of work in 4 days; B can do it in 4 days. In what time can A and B do it, if they work together? 3. What is the interest of $1500, for 60 days, at 6% ? 4. In a certain class of the pupils are under 10 years, of them are between 10 and 12, and the rest are over 12. What per cent are over 12 years? 5. If a bushel of English walnuts costs $1.60, what will 6 quarts cost? 6. A man put 5 gal. 2 qt. of syrup into bottles holding 2 quarts each. How many bottles did it require? 7. If of a yard of cloth costs of a dollar, what will of a yard cost? 8. If 9 pounds of sugar cost 48, what will 12 pounds cost? 9. What is the difference between 4 of 6 and of 4? 10. How many eggs, at the rate of 15 for 25 cents, can be bought for 60 ¢? 11. A merchant's receipts are $1200; his gain is 20 per What part of his receipts is profit? cent. 12. If 3 men earn $72 in 8 days, how many dollars will 5 men earn in 11 days? 13. If a dealer loses 25% by selling a horse for $225, what per cent would he gain or lose by selling the horse for $325 ? 14. If A can do a piece of work in 2 days, B in 3 days, and C in 4 days, in what time can they do it, working together? 356. Written Problems. 1. A man sold 18 barrels sugar, each containing 306 pounds; 21 barrels, each containing 297 pounds; 5 barrels, each containing 291 pounds. What is the average weight per barrel? 2. Three men engage in a business venture. One furnishes $3000, another furnishes $5000, a third furnishes $4000. They gain $1800. What is each one's share of the profit? What part of the money did the first furnish? What part of the profit should he receive? 3. Three ounces is what per cent of 5 pounds? 4. What is the product of of § of 154. State the result in decimals. 5. What is 87% of $896? $896 is 87% of what sum? 6. What number is that which, diminished by 23, will leave 21 7. How long will 200 pounds flour last 18 persons if each person is allowed 13 pounds per day? 283 8. If of of a ship cost $ 84,000, what is of it worth? 9. The dividend was $4689.036, the quotient .027, what was the divisor? 10. Harry Hedge earns $12 a week. He pays $4.25 for board, $0.625 for car fare, $0.375 for library fees, and $4.875 for other expenses. In how many weeks would he save $97.50. 11. For how long must $450 be at interest, at five per cent per annum, to amount to $ 481.62? 12. Divide 320 acres of land among A, B, and C, so that A shall have 15 acres more than B, and C shall have 27 acres more than B. DENOMINATE NUMBERS. 357. Inductive Exercises. 1. Change 1 yd. 1 ft. to inches. 2. Change 1 yd. 1 ft. 1 in. to inches. 5. Add 4 lb. 8 oz. and 4 lb. 8 oz. 6. From 9 pounds take 4 lb. 8 oz. 9. Divide 9 pounds by 4 lb. 8 oz. 11. How many feet and inches in .75 yd.? 13. What fraction of a yard is 27 inches? 14. Change 2 ft. 3 in. to the decimal of a yard. 15. 1 ft. 6 in. is what per cent of 2 feet? 16. Multiply 9 yd. 18 in. by 7. 17. From 18 lb. 6 oz. take 9 lb. 12 oz. 358. Troy Weight. 24 grains (gr.) = 1 pennnyweight (pwt.) 20 pennyweight = 1 ounce (oz.) 12 ounces = 1 pound (lb.) Troy weight is used in weighing gold, silver, precious stones, etc. 359. English Money. 12 pence (d.) = 1 shilling (s.) 20 shillings = 1 pound (£) A farthing is a quarter of a penny. This is written in the 43 yards there are 43 times 3 feet, or 129 feet. column of feet. Since there are 12 inches in a foot, in 129 feet there are 129 times 12 inches, or 1548 inches. Add 2 inches, making 1550 inches, which is written in the column of inches, and cancel 129 feet. In working this example, 3 and 12 are used as the multipliers instead of 43 and 129. At the time the 9 of 129 is multiplied by 12, the 2 is added in, the pupil saying 12 nines are 108, and 2 are 110, writing the 0; 12 twos are 24, and 11 are 35, writing the 5; etc. 361. Written Exercises. Change: 1. 4 yards 2 feet 8 inches to inches. 3. 3 pecks 5 quarts 1 pint to pints. 4. 6 bushels 3 pecks 6 quarts to quarts. 6. 7 gallons 1 quart 1 pint to pints. 7. 4 ounces 12 pennyweights 3 grains to grains. 8. 2 pounds 16 pennyweights 14 grains to grains. 9. 6 pounds 9 shillings 7 pence to pence. 10. 8 pounds 18 shillings 4 pence to pence. 11. 3 wk. 4 da. 13 hr. to hours. 12. of a week to hours. 14. .25 of a rod to inches. REDUCTION ASCENDING. 3 ft. 12 in. 129 ft. 1550 in. 362. Change 1550 inches to yards, feet, etc. Above 1550 in. write 12 in., the number in a foot. Dividing 1550 inches by 12 inches we obtain the quotient 129, the 43 yd. number of feet, and 2 inches remainder. Write the remainder in the column of inches and 129 ft. to the left of 1550 in. 0 ft. 2 in. Ans. 43 yd. 2 in. Reduce 129 ft. to yards, writing the result, 43 yd., as shown above, and cancelling 129 ft. 363. Written Exercises. Change: 1. 4530 feet to rods, yards, etc. 10. 836 shillings to pounds, etc. 11. 8423 min. to days, hours, etc. 12. 2348 inches to yards, etc. ADDITION OF DENOMINATE NUMBERS. 364. Find the sum: 11 yd. 2 ft. 8 in. 1 ft. 10 in. 4 yd. 0 ft. 16 yd. 1 ft. 5 in. 11 in. Ans. 8 in. + 10 in. + 5 in. 23 in. = 1 ft. 11 in. Write 11 in. and carry 1 ft. 1 ft.+ 1 ft.+ 2 ft. = 4 ft. = 1 yd. 1 ft. Write 1 ft. and carry 1 yd. 1 yd.+4 yd. +11 yd. 16 yd. Write |