334. If of a lot of land is worth $7853, what is of it worth?

335. If of a farm is worth $ 9000, what is

of it worth? of a foot at 12

336. A staff 3 feet long cast a shadow o'clock; what is the length of a shadow cast by a steeple 1251 feet high, at the same time?

337. If a staff 3 feet long casts a shadow of 3 of a foot at 12 o'clock, what is the height of a steeple that casts a shadow 31% feet, at the same time?

338. Sold a watch for $433, which was of its cost; what was its cost?

339. If a man earns $13 a day, in how many days will he earn $100?

340. Divide 98 by 1113, and multiply the quotient by 3 of 83. 341. What is the smallest sum of money with which I can buy horses at $50 each, cows at $30 each, or sheep at $8 each, using the same sum in each case?

342. If of a yard of cloth cost of a dollar, what will g of a yard cost?

343. A man sold a wood-lot for $2250, which was of what it cost him; how much did he lose by the bargain? 344. A man lost he found he had

first?

of his money, and then earned $ 117, when of his original sum; how much had he at

345. If a man can perform a journey in 84 days, what part of it can he perform in 34 days?

of a cargo of tea.

346. A merchant owned The value of the whole cargo was $6500. If he sells of his share for $2750, how much does he make, or lose?

347. A man gave, by will, 3, 4, and of his estate to various objects, and the residue, which was $200, he ordered to be expended in the purchase and care of his burial-place. What was the value of the whole estate?

348. A painter worked 27 days, and after paying earnings for board and other expenses, had $414 left.

did he receive a day?

of his What

349. How many bushels of oats at $ § a bushel must be given for 3 of a barrel of sugar at $10 a barrel?

350. If $16 will buy 2 cords of wood, how many cords will $743 buy?

351. If you can buy 301 pounds of raisins at 10 cents a pound for 94 dozen of eggs, what are eggs a dozen?

352. If a man's expenses are $1784 a year, and he saves of his income, what is his annual income?

353. A man engaging in trade lost of his investment and then gained $ 8343, when he had as much as he put in and as much more. How much did he put in?

354. If a man loses of an investment, then gains $5423, and has $12873, how much was his investment, and how much was his loss?

355. A farmer sold 25 barrels of apples for $37, which was as much as he afterward received for all the rest at $13 a barrel. How many barrels did he sell in all?

356. If 25 tons of coal cost $2163, how much will 9 tons cost?

357. If of a pound of tea cost $, what will 75 pounds cost?

358. If $67 will buy 94 barrels of flour, how many barrels can be bought for $55?

359. If 6 yards of cloth cost $164, what will 93 yards cost? 360. If $23 will buy 3 of a yard of cloth, how many yards can be bought for $1474?

361. If 103 bushels of corn cost $83, how many bushels can be bought for $21 ?

362. How many pounds of coffee can be bought for $271⁄2, if 6 pounds cost $211?

363. If I pay $5 for 3 of a ton of coal, how much can I buy for $218?

364. If 7 horses eat 22 tons of hay in a certain time, how many horses will eat 81 tons in the same time?

365. If 4 yards of cloth cost $104, how many yards can be bought for $33}?

366. If of a cheese that weighs 40 pounds is sold for $23, how much ought of the same cheese to be sold for?

367. If of a cord of wood cost $24, how many cords can be bought for $25} ?

368. If I paid $ 487 for a lot of apples, at the rate of $3 for of a barrel, how many barrels did I buy?

369. A gentleman left his son an estate, 4 of which he spent in 7 months, and of the remainder in 3 months more, when he had only $5000 remaining; what was the value of the estate?

370. A can build a certain wall in 12 days, and B in 15 days. How long will it take A and B together to build the wall?

Solution. If A can build it in 12 days, he can build of it in 1 day; and if B can build it in 15 days, he can build of it in 1 day ; therefore, A and B together can build, or of it in 1 day. If they can build of it in 1 day, it will take as many days to do the whole as is contained times in 88, or 9 in 60, that is, 63 days.

60

371. Two men and a boy engage to reap a field of rye; one of the men can reap it in 10 days, the other in 12, and the boy in 15 days. In how many days can the three together reap it?

372. How long will it take the two men together?

373. How long will it take the first man and the boy? 374. How long will it take the second man and the boy?

375. Three men, A, B, and C, can do a piece of work in 10 days. If A and B together can do it in 14 days, how many days will it take C to do it alone? If A and C together can do

it in 16 days, how long will it take B to do it alone? How long I will it take A alone?

376. A merchant bought a number of bales of hops, each bale containing 247 lb., at the rate of $3 for 10 lb., and sold them at the rate of $5 for 12 lb., and gained $693. How many bales did he buy?

miles in 2 hours and 15 go in an hour?

377. If a railway train goes 75 minutes, how many miles does it

31

378. Arrange, fo, 30, 40, in the order of their magnitude. 379. If 40 yards of silk cost $301, how many yards can be bought for $413?

380. Freight is carried by canal at the rate of a mile in 223 minutes, by common road 13 times as fast, and by rail 8 times as fast. If it is carried by common road 8 hours, by canal 251⁄2 hours, and by rail 45 hours, how many miles is it carried?

381. If 8 men can reap a field in 141⁄2 hours, how many hours will it take for 5 men to reap it?

382. If telegraph posts are set 66 yards apart, how often do telegraph posts and mile stones come at the same point? (There are 1760 yards in a mile.)

383. If it costs $71 to carry 9 tons 923 miles, how far can 28 tons be carried for $1301⁄2 !

384. A clerk earns $13 a day and spends $ a day. How much does he save in a year?

385. A policeman starts after a thief who is 418 yards ahead of him. If the policeman runs at the rate of a mile in 8 minutes and the thief at the rate of a mile in 10 minutes, how long will it take the policeman to catch the thief?

386. A man walks from home to a neighboring town at the rate of 23 miles an hour and rides back at the rate of 5 miles an hour. He started at 7 A. M., remained in town 5 hours, and arrived at home at 5 h. 30 m. P. M. How far does he live from town?

DECIMALS.

152. The following table is a continuation to the right of the table in Art. 21.

NOTE. This table can be extended to any number of periods to the right, as shown in the Appendix.

158. A Decimal Fraction, or a Decimal, is a fraction whose denominator is 10, 100, 1000, or 1 with one or more ciphers annexed. As its denominator is known, the numerator alone may be written with the decimal point, and read, according to the Rules in Arts. 24 and 26.

154. The value of the decimals in the table, expressed in words, is five hundred forty-eight million seven hundred sixty-three thousand two hundred forty-five billionths.

Exercises in the Numeration of Decimals.

155. Read the following numbers: