A. T. po: 9. LAND OR SQUARE MEASURE. A. roois. rods, 29 1 10 29 2 '17 24 1 25 17 1 36 sq. ft. sq. in 399 13 19 13. 12. CIRCULAR MOTION. S. S. 9 23 45 54 9 29 34 54 3 7 40 56 7 29 40 36 QUESTIONS, Shewing the use of Compound Addition and Subtraction. NEW-YORK, MARCH 22, 1814. 1. Bought of George Grocer, 12 C. 2 qrs. of Sugar, at 52s. per cwt. £32 10 0 28 lbs. of Rice, at 3d. per lb. 0 70 3 loaves of Sugar, wt. 35 lb. at 1s. 1d. per lb. 1 17 11 3 C. 2 qrs. 14 lb. of Raisins, at 36s. per cwt. 6 10 6 2. What sum added to 171. 11s. 81d. will make 1001. ? Ans. 821. 8s. 3d. 3qr. 3. Borrowed 501. 10s. paid again at one time 171. 11s. -6d. and at another time, 9l. 4s. 8d. at another time 171. 9s. 6d. and at another time 19s. 6, d. how much remains unpaid ? Ans. £4 4s. 9 d. 3 4. Borrowed 1001. and paid in part as follows, viz. at one -time 21l. 11s. 6d. at another time 191. 17s. 41 d. at another time 10 dollars at 6s. each, and at another time two English guineas at 285. each, and two pistareens, at 14.3. each; how much remains due, or unpaid ? Ans. £52 12s. 8 d. í 5. A, B, and C, drew their prize money as follows, viz. A had 751. 155. 4d. B had three times as much as A, lacking 15s. 6d. and C, had just as much as A and B botli; pjay how much had C'? Ans. £302 5s. 10d. 6. I lent Peter Trusty 1000 dols. and afterwards lent him 26 dols. 45 cts. more. He has paid me at one time 361 dols. 40 cts. and at another time 416 dols. 09 cents, - besides a note which he gave me upon James Paywell, for 143 dols. 90 cts. ; how stands the balance between us ? Ans. The balance is $105 06 cts. due to me. 7. Paid A B, in full for E F's bill on me, for 1051. 10s. viz. I gave him Richard Drawer's note for 151. 14s. 9d. Peter Johnson's do. for 301. Os. 6d. an order on Robert Dealer for 391. Ils, the rest I inake up in cash. I want to know what sum will make up the deficiency? Ans. £20 3s, 9d. 8. A merchant had six debtors, who together owed him 29171. 10s. 6. A, B, C, D, and E, owed him 16751. 13s. 9d. of it; what was I's debt ? Ans. £1241 16s. 9d. 9. A merchant bought 17 C. 2 qrs, 14 lb. of which he sells 9 C. 3 qrs. 25 lb. how much of it remains unsold ? Ans. 7C. 2 qrs, 17 lb. 10. From a fashionable piece of cloth which contained 52 yds. 2 na. a tailor was ordered to take three suits, each 6 yds. 2 qrs. how much remains of the piece ? Ans. 32 yds. 2 qrs. 2 na. T 11. The war between England and America commenced sugar, of April 19, 1775, anla general peace took place Jauuary 20th, 1783 ; how long did the war continue ? Ans. 7 yrs. 9 mo. 1 d. COMPOUND MULTIPLICATION. COMPOUND Multiplication is when the Multiplicaad consists of several denominations, &c. 1. To Multiply Federal Money. Rule.-Multiply as in whole numbers, and place the separatrix as, many figures from the right hand in the product, as it is in the multiplicand, or given sum. EXAMPLES. $ cts. $ d. C. m. 1. Multiply 35 09 by 25. 2. Multiply 49 0 0 5 by 97. 25 97 17545 343035 441045 50 Prod. $877, 25 $4753, 4 8 5 cts. 3. Multiply 1 dol. 4 cts. by 305 Ans. 317, 20 4. Multiply 41 cts. 5 mills by 150 Ans. 62, 25 5. Multiply 9 dollars by 50 Ans. 450, 00 6. Multiply 9 cents by 50 Ans. 4, 50 7. Multiply 9 mills by Ans. 0, 45 8. There were forty-one men concerned in the payment of a sum of money, and each paid 3 dollars and 9 mills ; how much was paid in all ? Ans. $123 36 cts. 9 mills. 9. The number of inhabitants in the United States is five millions ; now suppose each should pay the trifling sum of 5 cents a year, for the term of 12 years, towards a continental tax; how many dollars would be raised there Ans. Three millions Dollars. 2. T. Multiply the denominations of Sterling Money, Weights, Measures, fc. Rule. Write down the Multiplicand, and place the quantity underneath the least denomination, for the Multiplicr, and in multiply. by ? ing by it, observe the same rules for carrying from one donomination to another, as in compound Addition.* INTRODUCTORY EXAMPLES. £. s. d. 9. Multiply 1 11 6 2 by 5. How much is 3 times 11 9 5 3 S. d. per yard ? Practical Questions. What cost nine yards of cloth at 5s. 6d. £0 56 price of one yard. Multiply by 9 yards. Ans. £2 9 6 price of nine yards. QUESTIONS. ANSWERS. . d. £. s. d. 4 gallons of wine, at 0 8 7 per gallon. I 14 4 5 C. Malaga Raisins, at 1 2 3 per cwt. 5 11 3 many reams of Paper, at 0 17 9} per ream. 6 4 S. *When accounts are kept in pounds, shillings, and pence, this kind of mul tiplication is a concise and elegant method of finding the value of goods, a po much per yard, lb. Sic. the general rule being to multiply the kicapai the quantity 5 2 2 8 ydş. of broadcloth, at 1 7 91 per yard. 11 2 4 9 lb. of cinnamon, at 0 11 41 per lb. 11 tuns hay, at 2 1 10 per tun, 23 02 12 bushes of apples, at 0 1 9 per bush. 1 10 12 bushels of wheat, at 0 9 10 per bush. 5 18 0 2. When the multiplier, that is, the quantity, is a composite number, and greater than 12, take any two such numbers as when multiplied together, will exactly produce the given quantity, and multiply first by one of those figures, and that product by the other; and the last product will be the answer. EXAMPLES. What cost 28 yards of cloth, at 6s. 10d. per yard ? f. s. d. 0 6 10 price of one yard. Multiply by 7 Produces 2 7 10 price of 7 yards. £. s. 44 at Answer, £9 11 4 price of 28 yards. QUESTIONS. ANSWERS, s. d. qrs. d. 24 yards at 4 3 per yard, 8 17 6 27 at 9 10 0 13 5 6 at 12 4 2 27 4 6. 55 at 8 3 1 22 14 10 72 19 11 0 71 14 0 20 at 3 6 2 3 10 10 84 'at 4 2 77 3 6 96 at 11° 9 0 56 8 0 63 at £1 17 6 0 118 2 6 44. at 1 4 2 2 = 174 0 0 3. When no two numbers multiplied together will exactly. make the multiplier, you must multiply by any two whose product will come the nearest ; then multiply the upper line by what remained; which, added to the last product, gives the answer 18 |