8. Three merchants, William, Robert, and Thomas, trade together, and with a stock of 400l. they gained as follows, viz. William 30l. Robert 481. and Thomas 421.; what was each man's ftock?-Anf. William's ftock was 100l. Robert's ftock was 160l. and Thomas's ftock was 1401. 9. George Brown and John Weddell export 255 pieces of cloth, which were loft at fea. George's part was to John's as 3 to 7; what is each man's lofs at 9l. 178. per piece?-Anf. George Brown loft 7531. 10s. 6d. and John Weddell 17581. 4s. 6d. 10. A father, ignorant in numbers, ordered 1000lJ to be divided amongft his five fons, thus, give A, fays he, †, B, 4, C, †, D, †, and E, 4. Part this equitably amongst them according to the father's intention? £. S. d. 21 210 459 3387 450 183 O D's fhare 152 10 459 1105 4459 -E's fhare DOUBLE 130 14 40 FELLOWSHIP. Double fellowship is when there is a difference both in the fhares and in the time they have been employed. R U L E. Multiply each particular share by the time it has been employed, and then state, as the fum of these products : is to the whole article to be divided : : fo is each perfon's product separately to his fhare of the article to be divided. P R O O F. The method of proof is the fame as in fingle fellowfhip. EXAMPLE S. 1. John, Thomas, and Jofeph rent a field for 50l. a year, into which John put 140 fheep for 130 days, Thomas 70 fheep for 110 days, and Jofeph 80 fheep for for 150 days. What part of the rent ought each man to pay? 140X130=18200 John's ftock and time 70X110= 7700 Thomas's ftock and time 80X150=12000 Jofeph's ftock and time 37900 the whole ftock and time 379,00)6000,00(15 16*74 7 Joseph's rent for 337 379 z. Three merchants join in trade. A put in 401. 9 months, B 681. for 5 months, and C izol. for 12 months; but by misfortune they loft goods to the value of 50l.; what must each man fuftain of the lofs?— Anf. A must lofe 81. 8s 2164d. B must lofe 71. 188. 10 d. and C muft lofe 331. 128 10. 3. A bankrupt's effects, worth 5ool, are to be divided amongst his three creditors, D, E, and F, in proportion to their respective demands, and time fince each debt was contracted. D's is 250l. with 10 months intereft, E's 160l. with 12 months intereft, and F's 390l. with 6 months intereft; what is each claimant's mare of the effects?-Anf. D's fhare 1841. 18s. 24 d. E's fhare 1421. os. 2344d. F's fhare 173. 18. 673d. 57 4. A perfon dying left 500l. to his three fons, to be divided in proportion to their ages, and the time each fhould refrain from getting drunk. John was 21 years old, and refrained 90 days; Thomas was 24 years old, and refrained 64 days; and James was 32 years old, and refrained 56 days Find each perfon's fhare of the money.-Anf. John muft receive 1811. 28. of 1d. Thomas muft receive 1471. 3. 7 d. and James 1711. 148. 3 d. 5. Two merchants enter into partnership for 18 months. A put into ftock at firft 200l. and at 8 months end he put in 100l. more, B put in at first 550l. and at 4 months end took out 140l. Now at the expiration of the time they find they have gained 5261; what is each man's juft fhare?-Anf. A's fhare is 1921, 198. og 72d. and B's fhare is 3331. os. I irid. 6. A fhip's company took a prize of 4000l. value, which they agree to divide among them, according to their pay and time they have been on board. Now the officers and midshipmen have been on board 4 months, and the failors 3; the officers have 50s. a month, the midshipmen 40s. and the failors 288.; moreover there are 4 officers, 8 midshipmen, and 130 failors. I demand each person's share in the faid prize? 7. Brown, Hilton, and Weddell make a joint ftock for 12 months. Brown at first put in 20l., and 4 months after 20l. more; Hilton put in at first 30l., at the end of 3 months he put in zol. more, and 2 months after that he put in 40l. more; Weddell put in at firft 6ol., and 5 months after he put in 10l. more, one month after which he took out 30l. During the 12 months they gained 50l.; how much of it must each have? £. s. d. Brown muft have 10 18 6 4147 BAR TE R, BARTER is the exchanging one commodity for another, and gives rules whereby traders may fo proportion the price and quantity of their goods as that neither party may sustain lofs. The price and quantity of one commodity being given, to find what quantity of another commodity, at a fpecified price, will be equal to it. Find the value of that commodity whofe quantity is given, and then find what quantity of the other may be purchased with that money. |