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2. A and B have gained by merchandize 1821. A did: put in 300l. and B 4001. I demand each of their shares. of the profit? . . Answ. A 75, and B 1041. 3. A merchant being deceased, it is found he owes to A 500l. to B 9001, though he left b to 1 1001 behind him: . I demand how much each is to have in preportion of his debt? Answ. A 3924, and B 707;1. *: 4. A, B and C, freight a ship from the Canaries, for England with 108 tuns of wine, of which A had 48; B 36, and C 24; the mariners meeting with a storm at sea, were constrained for the safety of their lives, to cast 45's tuns thereof overboard: Here the question to be resolved is, how many of the 45 tun every particular me, chant has. lost according to the rate of his adventure ?'. Answ. A 20, B 15, and C 10 tun. 5. A chapnian breaking owes unto 4 men the followingsums of money, viz.

l. s. d. A 21, 9 6 His whole estate. is found to be but Te B 72 10 3 1481. 2s. 6d. what must each have . C. l l ; 13 9 of the same, and what 2 will it be.

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SOLUTION. w It is manifest from the question that 450l. is to be divied in proportion as 3 to 1. Therefore

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N. B. The following questions usually solved by posttion may be more easily effected by the proceeding proulem, viz. -

16. The suta, of the ages of A, B and C is 154 years: B was as old as A and + as old again ; and C twice as old. as B: I demand each man’s age 2. - -

By considering this, question, I, discover that A's age is. in proportion to B's as 1 to l ; , and to C's as 1 to 3: Therefore it is required to divide 154 in proportion to }. }#, and 3, viz: - *

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l 3 : 84 C's 17. A.

17. A gamester loses in 4 turns of dice 160 shillings, and trebled each turn the sum he put in. How much did he play for the first and last time

Answ. 4s. and 108s.

18. Forty yards of drugget and 59 yards of cloth cost 2 #1. 10s, but every yard of cloth double as much as a yard of drugget: I demand what the drugget cost to yard Answ. 3s. 6d.

19. D. vide 15 into two such parts, that when the greater is multiplied by 4 and the lesser by 16, their product must be equal Answ. 12 and 3. o

I discover that the numbers required must have the same proportion to each other, the less to the greater, as 4 to 16, consequently 15 must be divided into parts in proportion to 4 and 16, cox. 3 and :2.

20. A master hires a journeyman on this condition, that he shall have 12d. a day and his diet for every day he works ; but for every day he doth not work he is to pay him 6d. for his diet. Now on the 30th day they comé to agcount, but neither of them receives or pays any money: How many days did he work and how many was he idle?

Answ. He workel 10 days and was idle 20.

21. What numbers are they which when added, will make 266%, and when one is multiplied by 3 and the other by 5 the sum shall be equal An-w, 166; and 100.

FELLOWSHIP switH TIME. W HEN stocks continue unequal time in company,

so that consideration is made of the time as well as stock, this is called Fellowship with Time; for which this is the - - - -

- Rule.

Multiply each man's stock by his time, and add the produc's into one sum ; then divide the total gain or loss in proportion to these products.

Application.

1. Suppose two merchants A and B to be partners in traffick, and that A permits his stock of 100l. to be employed in their joint traffick 3 months, and 3 his stock of 50l. 8 months, and loy gain 28l. I demand how much hereof belongs to each? 100 A's

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100 A's Stock 50 B's Stock, Multiply by 3 — Time. 8 — Time. Produce 300 400 400 - 1. 700–––28 300 Answ. 12 A's Gain.

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2. Two merchants made a company; A put in 100l.

for four months, and B put in 136!. for three months, and

they gain 50l. I demand each man's share of the profits: Answ. A 24!. 15, 3rs. and B 25l. 4 ofts.

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4. Three persons have received 665l. interest, A had put in 4000l. for 12 months, B 3000l. for 15 months, and C 5000l. for 8 months; how much is each man's fart of the interest? Answ. A 240l. B 225l. and C 200i.

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