Questions for Exercife in Compound Subtraction. Queft. 1. A horfe in his furniture is worth 387. 125. out of it 167. 155. how much doth the price of the furniture exceed that of the horse! Queft. 2. A boy was bound, by indentures, to ferve his mafter fever years; and when he had accomplished 6 years, 6 months, 6 weeks, 6 days 6 hours, 6 minutes, and 6 feconds, pray how long had he to serve? Queft. 3. A fnail in getting up a may-pole only 20 feet high, was obferved to climb 8 feet every day; but every night it came down again four feet; in what time, by this method, did it reach the top of the pole? Queft. 6. If the mean distance between the earth and fun be 81 millions of miles, and between the earth and moon 240 thousands; how far are those two luminaries afunder in an eclipfe of the fun, when the moon is lineally between the earth and fun? And in another of the moon when the earth is in a line between her and him? Suppofe E the earth, M the moon, and S the fun; then the eclipfe of the fun will be represented by fig. 1, and that of the moon by fig. 2. Therefore 81000000-240000=80760000 S M fig. 1, or the dif tance these two luminaries are afunder, in an eclipse of the fun. FIGURE 1. S *A-piece. Likewife G 2 Likewife 81000000+240000-81240000 S M fig, 2, or the dif tance these two luminaries are afunder in an eclipse of the moon. FIGURE 2. E Queft. 7. B, born 161 years ago, died when C was 47 years of age, who it feems came into the world 180 years fince, and out-lived B 43 years: the fum of their ages is required? IX. COMPOUND MULTIPLICATION. RULE 1. multiplicand. fum or Write the multiplier under the lowest denomination of the 2. Begin at the lowest denomination, and multiply it by the given number, and fee how many of the next denomination is contained in the product; fet down the odds, and carry fo many to the next : Then multiply the next denomination, adding what you carried, and fet down the odds; proceed thus till all be multiplied. N. B. Multiplication is a fhort way of working the rule of three, without the ufe of divifion, and is preferable to any other method in buying, felling and computing the value of various commodities. write To work this example, fay 3 times 10 is 30 fhillings, or 17. 105. down 10 and carry 1. Then fay 3 times 10 is 30, and one is 31 pounds, which fet down, and the answer is 3.1. 10s. as appears by the work. E. 2. What will 4 pounds of fugar come to at 54d. per pound? d. 5 4 Anfwer I 9 Answer 8 28/0 Note. Cheefe-factors, and many other dealers, who buy goods. wholesale, are allowed 120 pounds to 1 Cwt. but fell them out at 112 pounds per Cat. E. 4. What will 6 ells of holland come to, at 6s, 10d. per ell? E. 5. What will 8 gallons of brandy come to, at 27. 1s. 3d. per gallon? d. Anf. £:16 ro E. 7. What will 11 barrels of fmall beer come to, at 10s, 6d. per barrel? 10 6 II Anf. £. 32 I 8 Anf. £.5 15 6 E. 8. What will 12 dozen of candles come to, at 6s, 8d. per dozen CASE 2. When the given quantity exceeds 12, and is fuch a number that any two figures (in the multiplication table) being multiplied together, will produce it; RULE. Multiply the given price by one of those numbers, and that product by the other, and if you make ufe of any more numbers, proceed in like manner, and the final product will be the anfwer, E. 9. What will 15 bushels of wheat come to, at 6s. 94d, per bufhel? To work the preceding example, fay 5 times 2 is 10 farthings, or 2d. fet down, and carry 2; then fay 5 times 9 is 4.5, and 2 is 47 pence, 35. 11d. fet down 11, and carry 3; then 5 times, 6 is 30. fhillings, and 3 is 33,17. 135. The firft product being finished, multiply that by the other number, faying, 3 times 2 is 6 farthings, or 1d. fet down and carry 1, and fay 3 times II is 33, and 1 is 34 pence, 2s. 10d. fet down 10 and carry 2; then 3 times is 9, and is 11, fet down and carry 1, faying 3 times i is 3, and i is 4, I is 3, and 2, is 57-and 4 ten fhillings or 2 pounds; then 3 times E. 10. What will 18, of butter come to, at 4žd. per pound? 1 E. 11. What will 30lb. of cheese come to, at 3 per pound? d. 31 10X3=39 28 I 7 10X5=50 13 10 5 Anf. £.67.10 E. 15. What come 64 firkins of butter to, at 17. 8s. per firkin? 8X7=56 What is the price of 80 yards of Irish cloth, at 10d. per yard? 101/1 13 8 9X8=72 6 3 10X8=80 |