14. Divide 1000 crowns in such a manner between A, B, and C, that A may receive 129 more than B, and B 178 less than C. Ans. A 360, B 231, C 409. 15. Divide £5784 10s. among 55 men, and let the first 5 have twice as much as each other person. Ans. The first 5 will have £192 16s. 4d. each; The 50, £96 8s. 2d. each. 16. In what time would a vessel containing 275 gallons be filled with water supplied by a pipe delivering 65 gallons per hour, with a discharge pipe conveying 40 gallons per hour, allowing both pipes to convey at the same time? Ans. 11 hours. 17. A Railway train going at the rate of 40 feet per second, at what rate in miles is that per hour? Ans. 27 miles, 480 yards. 18. Three boys met a servant maid carrying apples to the market. The first took half of what she had, but returned to her ten; the second took one-third, but returned two; and the third took away half those she had left, but returned her one. She had then twelve apples left; how Ans. 100. many had she at first? DIVISION.-SHORT RECKONINGS RULE. Having the price of a score, 20, or a dozen, 12, to obtain the price of one article. For a score, take the cost price, pounds, as shillings; and for a dozen, the shillings as pence. 1. If 12 quarts of milk cost 2s., what will one quart cost? Ans. 2d. 2. If 12 yards of cotton cost 4s., what will one yard cost? Ans. 4d. 3. If 1 dozen bottles of porter cost 7s., what will one bottle cost? Ans. 7d. 4. If 12 stones of apples cost 14s., what will one stone cost? Ans. 1s. 2d. 5. Gave £2 for 20 quires of paper, what is that per quire? Ans. 2s. 6. Gave £40 for 20 clocks, what is that per clock ? Ans. 40s. 7. Bought 20 stones of flour for £3, what is that per stone? Ans. 3s. 8. Bought a dozen chairs for 60s., what is that each. Ans. 5s. 9. Bought 20 yards of land for £10, what is that per yd. Ans. 10s. 10. Purchased 20 acres of land for £1000, what is that per acre? Ans. £50. 11. Gave £50 for 20 cwt. of sugar, what is that per cwt. ? Ans. £2 10s. Ans. 1s. 12. Gave £1 for 1 ton of coals, how much per cwt.? Ans. 4s. 8d. When there are several dozens, or scores, divide the amount at which they are purchased, by the number of dozens, or scores, and proceed as above. 5 dozen copy books for 20s. 8. 5)20 Ans. 4d. each. 4s. 6 score of sacks for £18. £. 6)18 Ans. 3s. £3 14. 4 dozen boxes of steel pens cost £4 16s. (968.), what per box? Ans. 2s. 15. 6 dozen shirts cost £10 16s., what is that per shirt? Ans. 3s. 16. 8 dozen bottles of wine cost £24, what is that per bottle? Ans. 58. 17. If 4 score of plants cost £4, how much is that per plant? Ans. 1s. 18. If 7 score of sheep cost £210, how much will 1 sheep cost? Ans. £1 10s. Ans. 18. 19. If 4 tons of coals cost £4, what is that per cwt.? BILLS OF PARCELS. HOSIER'S. 1. Mr. John Thomas, Ans. £2 11s. Bought of Samuel Green, March 7, 1849. s. d. 8 Pair of worsted stockings at 4 6 per pair £ 5 Pair of thread ditto 3 Pair of black silk ditto at 3 2 Many of these items may be worked mentally; as in the first item. Call the 8, shillings, which multiply by 42 (3d must be called, 6d. 2, 9d. .) which gives 36s. -5 pair multiply by 3 which gives 15s. 10d., &c., &c. This will be found of the ut most service where the quantities are large. For an even number of dozens, regard the price in pence as shillings, (for 12 articles X 1 penny = 1s.) and multiply by the number of dozens in the quantity. Add 3d. for 1 farthing, 6d. for a halfpenny, 9d. for three farthings. 1. What will 72 yards cost at 84d. per yard? To know the value of 100 articles, the price of one being stated. Take as many pence as there are farthings, which being doubled, regard as shillings. By thus taking farthings as pence the value is increased four-fold, and by taking 2 shillings for every farthing, it is increased 96 times; therefore 96 + 4 100. £0 1s. 2d. £1 9 2 Ans. 6. 100 lbs. of tea, at 42d. per lb. 7. 100 lbs. of currants, at 74d. per lb. £1 9 2 Ans. Ans. £1 19s. 7d. Ans. £3 0s. 5d. To ascertain the price of any number of articles at any given number of shillings per article, or lb., yard, &c. The amount at 1 shilling multiply by the price. 8. 80 gallons at 15s. per gallon. 80 at 1s. £ 4 Multiply by 15 9. 90 yards at 12s. per yard. £60 Ans. £54. 10. 100 gallons at 17s. per gallon. Ans. £85. as one-fourth of a shilling = 3d.] 11. 50 yards at 6s. per yard. [In this case the is to be regarded 50 yds. at 1s. = £2 10 3 Multiply by 6 Ans. £15 1 12. 90 stones at 7s. per stone. 13. 100 gallons at 6s. 6d. per gal. Ans. £31 15s. 3d. Ans. £32 10s. 14. 150 lbs. at 10s. 9d. per lb. [Multiply by 103] Ans. £80 12s. 6d. Another method of working the above may be adopted, as under, for shillings and pence. 60 gallons at 8s. 4d. per gallon. Many figures might be saved by multiplying the shillings of the price by the number of pounds that the quantity amounts to at Is. which will produce the answer in pounds. |