22. My real estate is worth $4756.75 and my personal estate $1562.75, I owe $2468.50; what am I worth?

23. At 25c. per mile for a horse and carriage, how far may ride for $3.371?

I

24. A drover bought sheep at $3.37 per head and sold them at $3.87 per head, and gained $37.50 by the transactions; how many sheep did he buy?

25. Bought 100 sheep at $3.375, and sold them again at $3.875; what was the gain per head and total ?

26. Bought 20.5 tons of hay at $12.375 per ton; what was the cost of the whole?

27. What is the value of 67.75 acres of land at $62.50 per acre?

28. Paid $4234.375 for 67.75 acres of land; what was the price per acre?

29. Paid $4234.375 for a piece of land at $62.50 per acre; how many acres were bought?

30. Bought land at $62.50 per acre, and sold it again at $75 per acre, thereby making $816.875; how many acres were bought?

31. Bought 67.75 acres of land at $62.50 per acre, and sold the lot for $5081.25; was there a gain, or loss? how much total and per acre?

32. Bought 356.25lb. of wool at 37c., which was manufactured into cloth at an expense of $62.50; for what sum must it be sold to gain $37.50 ?

33. Bought 14.75yd. of sheeting at 14 cents per yd.; what was the cost of the piece?

34. What would 7 bales of cotton cost, each bale weighing 6.375cwt., at $11.75 per cwt.?

35. What cost 13yd. 2qr. 3na. of cloth at $4.67 per ell French, the ell French being 6qr.? Ans. $42.613.

36. Bought 1bbl. flour at $12.50, 3bush. corn at 87c., 24.5 lb. sugar at 8c., 3gal. molasses at 37c., 2lb. tea at 62c., 61b. coffee at 11c., 15lbs. rice at 44c. and 4lb. butter at 22c.; what was the cost of the whole? Ans. $21.76.

37. What cost 3t. 15cwt. 2qr. 12 lb. coal at $9.75 per ton?

38. What will be the expense of papering a room that is 20 feet long, 15 feet wide and 8.5 feet high, a roll of paper being 8 yards in length and § of a yard in width, and costing 621c. per roll?

39. Bought 133.5yd. of broadcloth at $3 25, and sold 33yd. of it at $3.33, 50yd. at $3.875, and the remainder at $3.60; how much was gained by the transactions?

COMPOUND NUMBERS.

ADDITION.

197. A COMPOUND NUMBER is composed of two or more denominations (Art. 86) which do not usually increase decimally from right to left; consequently, in adding the different denominations, we do not carry one for ten, but for the number it takes of the particular denomination added, to make a unit of the next higher denomination; thus, in adding Sterling or English Money, we carry 1 for 4, 12, and 20, because 4qr. make 1d., 12d. make 1s., and 20s. make 1£.

Ex. 1. Add 6£ 7s. 9d. 3qr., 5£ 12s. 11d. 2qr., 27£ 18s. 10d. 3qr., and 19£ 14s. 8d. 1qr.

OPERATION.

£

S.

6

5

d. qr. 7 9 3 12 11 2 27 18 10 3 19 14 8 1 Sum, 59 14 4 1

Having arranged the numbers as in the margin, the amount of the right-hand column is 9qr. = 2d. and 1qr. Upon the same principle as in addition of simple numbers, the 1qr. is set under the column of farthings and the 2d. are added to the pence in the 3s. and 4d. Setting the 4d. under the the column of pence, add the 3s. to the shillings in the example, making 54s. =2£ and 14s., and so proceed, until all the columns are added.

example, making 40d.

197. Do Compound Numbers increase decimally? Explain Ex. 1.

198. The principle of procedure is precisely the same as in addition of simple numbers. Hence,

To add compound numbers,

RULE. Write the numbers so that each denomination shall occupy a separate column, the lowest denomination at the right, and the others towards the left in the order of their values. Add the numbers in the lowest denomination, divide the amount by the number it takes of this denomination to make one of the next higher, set the remainder under the column, and carry the quotient to the next column. So proceed until all the columns are added.

199. PROOF. The same as in Addition of Simple Numbers (Art. 47).

NOTE 1. In writing and adding the numbers of a single denomination, the rules of simple addition must be observed; thus, in writing the pounds, in Ex. 2, set units under units, and tens under tens, and then, having added the farthings, pence, and shillings, add the units of tne pounds, and then the tens, as in addition of simple numbers.

198. Rule for Addition of Compound Numbers? Principle? 199. Proof?

Numbers of a single denomination, how written and added

NOTE 2. A fraction occurring in the amount may sometimes be reduced to whole numbers of other denominations; thus, in Ex. 15, the half yard equals 1ft. and 6in.; the 6in. put with the 4in. make 10in. and the 1ft. put with the 2ft. make 3ft. or lyd. Oft., and, finally, the lyd. put with the lyd. in the original amount gives 2yd. The answer, when reduced, may contain denomination higher or lower than any in the given example; higher, as in Ex. 16; lower, as in Ex. 17.

199. What may be done with a fraction in the amount? Explain Ex. 15. Ex. 16. Ex. 17. May the answer contain a higher or lower denomination than the example? How?

21. Bought 4 pieces of cloth, measuring 6yd. 3qr. 1na. 2in, Syd. 2qr. 3na. lin., 25yd. 1qr. 2na. 2in., and 14yd. 3qr. 2na. lin.; how much cloth did I buy?

22. A farmer raised in one field 21bush. 3pk. 7qt. 1pt. of wheat; in another, 48bush. 2pk. 1pt.; in another, 28bush 6qt. ; and in another, 75bush. 1pk. 5qt. 1pt.; how much wheat did he raise in the 4 fields?

23. A planter sold cotton at various times, as follows: 2t. 18cwt. 2qr. 124lb., 6t. lcwt. 1qr. 64lb., 3t. 19cwt. 3qr. 183lb., 16t. 6cwt. 3qr. 121lb., and 16t. 3qr. 18lb.; what did he sell in all?

24. What is the sum of 14a. 2r. 30rd. 25yd. 3ft. 72in., 37a. 3r. 39rd. 30yd. 6ft. 36in., 50a. 1r. 18rd. 25yd. 2ft. 108in., and 25a. 2r. 25rd. 25yd. 3ft. 72in.?

25. Add 3circ. 9s. 29° 59′ 59′′, 2circ. 11s. 25° 20′ 30′′, 5circ. 4s. 8° 25′ 55′′, and 6circ. 10s. 10° 10′ 10′′ together.

26. A horse traveled 35m. 6fur. 18rd. 5yd. in one day, 42m. 3fur. 25rd. 2yd. the next day, 37m. 5fur. 32rd. 4yd. the next, and 45m. 7fur. 24rd. 3yd. the next; how far did he travel in the 4 days?

27. A blacksmith bought 4t. 18cwt. 3qr. 20 lb. of iron at one time, 6t. 15cwt. 3qr. 12 lb. at another time, 3t. 6cwt. 1qr. 18lb. at another, and 8t. 3cwt. 2qr. 10 lb. at another; how much did he buy in all?