Ex. 6. A lends to B 1007, how much is B in debt after A has taken goods of him to the amount of 73/ 12s 4jd?. Ans. 26/ 78 74d. 7 Suppose that my rent for half a year is 201 128, and that I have laid out for the land-tax 148 6d, and for several repairs Il 38 31d, what have I to pay of my half-year's rent? Ans. 18/ 148 23d. 8. A trader failing, owes to A 351 78 6d, to B 91/ 13s d, to C 531 74d, to D 871 58, and to E 1117 Ss 5d. When this happened, he had by him in cash 231 78 5d, in wares 53/ 118 101d, in household furniture 631 178 73d, and in recoverable book-debts 25/ 78 5d. What will his creditors lose by him, suppose these things delivered to them? Ans. 212/ 5s 34d. EXAMPLES OF WEIGHTS, MEASURES, &c. 20. The line of defence in a certain polygon being 236 yards, and that part of it which is terminated by the curtain and shoulder being 146 yards 1 foot 4 inches; what then was the length of the face of the bastion? Ans. 89 yds 1 ft 8 in. COMPOUND MULTIPLICATION. COMPOUND MULTIPLICATION shows how to find the amount of any given number of different denominations repeated a certain proposed number of times; which is performed by the following rule. SET the multiplier under the lowest number of the multiplicand, and draw a line below it.-Multiply the num ber in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down what remains. — In like manner, multiply the number in the next denomination, and to the product carry or add the units, before found, and find how many units of the next higher denomination are in this amount, amount, which carry in like manner to the next product, setting down the overplus.-Proceed thus to the highest denomination proposed: so shall the last product, with the several remainders, taken as one compound number, be the whole amount required-The method of Proof, and the reason of the Rule, are the same as in Simple Multiplication. EXAMPLES OF MONEY. 1. To find the amount of 8lb of Tea, at 58 83d per lb. 2. 4 lb of Tea, at 78 8d per lb. 6. 10 cwt of Cheese, at 2/ 17s 10d per cwt. CONTRACTIONS. 8 d Ans. 1 10 8 Ans. 0 11 111 I. If the multiplier exceed 12, multiply successively by its component parts, instead of the whole number at once. Ans. 7 1 6. 70 barrels of Ale, at 1/ 48 per barrel II. If the multiplier cannot be exactly produced by the multiplication of simple numbers, take the nearest number to it, either greater or less, which can be so produced, and multiply by its parts, as before.-Then multiply the given multiplicand by the difference between this assumed number and the multiplier, and add the product to that before found, when the assumed number is less than the multiplier, but subtract the same when it is greater. i s d 12 10% 65 2. 29 quarters of Corn, at 21 58 31d per qr. Ans. EXAMPLES OF WEIGHTS AND MEASURES. 3 10 6101 0 2 5 7/2 1. 28 lb oz dwt gr 7 14 10 8 5 12 COMPOUND DIVISION teaches how to divide a number of several denominations by any given number, or into any number of equal parts; as follows: PLACE the divisor on the left of the dividend, as in Simple Division.-Begin at the left-hand, and divide the number of the highest denomination by the divisor, setting down the quotient in its proper place. If there be any remainder after this division, reduce it to the next lower denomination, which add to the number, if any, belonging to that denomination, and divide the sum by the divisor.-Set down again this quotient, reduce its remainder to the next lower denomination again, and so on through all the denominations to the last. |