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woman 8d. and to each man 16d; how many were there of each ?
Ans. 20 of eacheka 80. Aman has £7.17 6, toʻpay among his labouners, being men, women and boy's , to each boy he gave 6d. to each woman 8d. and to each man 16d. there were for every boy 3 women, and for every woman 2 meng I demand the number of each ?
7. Ans."'15 boys, 45 women, and: 90 men. 'I 81. There are 1000 dols. to be divided among threei men, in such proportion that as often as A has 3 dols. B shall have 5 dols. and C 8 dols ; how much must each have ?
ŞA, dols. 187,50
C, 500. 82. Admit a town is taxed £39 for the building a bridge, the town rent is £900 per annum ; what must a man (of that town,) pay towards it, whose income is $100 per annum ?
Ans. L4:6-8. 83. Suppose A pays 58. 10d. for an income of 458 per annum, what must B pay, whose income is £100 per annum ?
Ans. 10 H10 84. Divide 1400 dols. between A and B, so as that A's share shall bear gúch proportion to B's, as 2 to 5.
SA, 400 dols. Ans.
B, 85. Shipped 550 pair of stockings, at 75 cents per pair ; 460 yards of stuff, at 25 certs per yard ; in retårn for which I had 30 cwť3 qrs. of sugar, at-5 dols. per cwt; now, admitting advance on the stockings and stuffs, was just sufficient to defray all expenses, hový much have I to receive of this adventure ?
Ans. dols.373,75. 186. If four pounds ten, and forty groats,': ..
Will buy a load of hay, tas
For twenty loads will pay? Ans. £ 100 7 378 Note: This last example is considered as New England currency, where pounds, &c. are expressed. ; 87. A grocer laid out for spices; £560, at the following prices, viz. cloves at 4s. per lb. mace at -7s. cinnamon at 38. nutmegs at 12s. and pepper at 2s. per lb. and had of each an equal quantity ; how many pounds of each had he ?
Ans. 400lb. of each sort.
188. Admit the distance from Boston to New York, to be 240 miles ; A sets out from Boston for New York, and travels (20 miles <å days after A has travailed a days, B sets out from Boston, for New York, and trais els 40 miles a day : In what time will each arkive at New York, how far from Boston will B overtake A, and how far will A. be bebind B, when the latter arrives at New York ? 4519: ?! (WOTW ili
· 6 Anstis will be overtaken 80 miles from Boston,
A, will be behind B, 80 miles, when B arrives
at New York. 10 i 89. Bought 127 pieces of cloth, for which I gave 3589 ells of Holland, at 75. 11d. per ell; what cost a piece of that cloth ?
Ans £1138 90. I have laid out for a merchant 8432 dolşa for which he allows me 24 per cent. commission ja I owed him 283 gols. how much is he indebted to me?
Ans, dols. 3234,80... 91. Change £536 sterling, to federal.money..vismia
Ans, dols, 2382,22. 92. Change dols. 2382,225, co sterling monelye isi
Ans. £536.. 93. Change £536 sterling, to the currency of New England. 2
Ans.£3 17 1324. 94. Change £714-134, New England currency, (o sterling.
Ans, 4536. 195. Change 6714 13:4, New England currency, to federal moneyo' . Ans. cols. 2382,22g. 96. Change dols. 2382,22 to New England currency.
-Ans, £7.14-13 4. 97. Bartered 2000 barrels of floup al 6 dols.
barat dols. 3,25 per barrel ; how much tar had I for the flour ?
Ans. 36928f barrels. 98. I would ensure an adventure which cost me 9570 dols ;' how nich must I ensure so as to cover both principal and premium; when I pay for ensurance 5 per cent?
Ans. dols. 10073,6849 99. Bought a tuy of wine for dols. 1:50,54 ; how must I sell it per quart to gain dols. $3,46 ; admitting there is 22 gallons lost?
Ans. 80 cents.
rel, for ţar
100. Bought 3 hogsheads of sugar, weighing as follows, viz
I gross, 10 cwt. 2 qrs. 13/b. Tare 100lb. per hhd. No. 2 1. 10 I'm 16. 3
9 3 26. paid dols. 8,50 per cwt; how must I sell it per
hundred to gain dols. 42,46,875 ?..
Ans. 10 dols. 101. If I buy 1000 ells Flemish of linen, fór400 dols. how must I sell it per yard to gain 50 dols ? Ans. 60 cts.
102. If I buy 1000 ells Flemish of linen, and sell the whole at 60 cents per yard, and gain 50 duls. how much did the whole cost me?
Ans. 400 dols. 103. If I buy 1000 ells Flemish of linen for 400 dols. how much was it per ell, and how must I sell it per ell, to gain 50 dols? Ans. it cost 40 cents, and must be sold for 45 cents per ell. 34 104. Bought three score pieces of Holland for three times as many dollars, and sold them again for four times as much ; but if they had cost me as much as I sold them for, what must I have sold them for to gain after the same rate?
Ans: 2880 dols. 105. My correspondent in London informs me that he has disbursed on my account, £2576, sterling; how much federal money must I pay for him in New York, to requite his kindness? Ans. dolls. 11448,88%
106. My correspondent writes me from Liverpool in England, that he has paid for goods for me to the amount of 6738. 176 sterling ; how much federal money must I pay him when I allow him wi per cent. commission ?
Ans. dols. 3365,98,5. ." 107. A merchant bought four chests of sugar, the mark and weight as follows, viz.
A, 10C. 3qrs. 141b.
Gross ; tare 38lb. each.
D, 11 2 10 The prime cost including expenses, 18s. per cwt. and sold as follows, viz the two first, A and B for 288 per cwt. and the other two for 4d. per Ib; I demand the prime cost, the whole gain, and the gain per cent,
Prime cost, $42 4., 8.
34 14 Ilja
108. A jeweller bought a pancelof jewels for 6120, and sold them again for 6440, payable at the end of 6 months;. I demand what the gain is worth in ready money; discounting 6 per cent. per anpum, for present ? laul
Ans. 109. What is the value of 3 hogsheads of tobacco, weighing each gross 5C, Sqrs. 171b. tare per hogshead 100lbe at dols. 19,50 per cwt... Ans. dolse 293,0?ijn:
110. If 10 hogsheads of sugar, weighing each 9C. 3qrs. 141b. gross, tare per hogshead 100lb. cost 1003 duls.3. how must I sell it per pound, to gain dols. 501,50 ? : worl"
Ans. 15 cents. dll, What is a7* yards of cloth worth, at dols. 7,75 per yard?
27:- Ans. dols. 137,560 ungl 12. Bought 2000 bushels of wheat, at 1 dol. per bushels the store in which it was put bursted, and part of the wheat run out into the dock, and was spoiled, so as to be not worth saving the remainder I sold at dol. 1,30 per bushel, and lost1830 dols. by the bargain, how much wheat was lost? Test Ans, ;1 100 bush.
113. Bought 2000 bushels of wheat, of which I lost 1100 bushels, sold the remainder for dol. 1,30 per bushel and lost 830 dols ; what did I give per bushel ? 115015710larla
Ans. I dol. || 14. How many yards of stuff.that is 3 quarters of a yard wide, will line a cloak, in which there are 4 yards of cloth that was 7 quarters wide ? Ans. 9 yards.
115. What is the difference of latitude between Boston, in latitude of 42° 23' North, and London in Latitude of 51.,32 North?
Ansi 9°09'ita 116. What is the difference of: longitude between Boston in longitude 71° 03' West of Greenwich, and London, in 0° 05' West of the same place ?,:
Ans: 70° 58' 117. How many English statute miles is half the circumference of the earth, adınitting the whole to be 360 degrees, and each degree 697 statute miles ?
> Ansio12510 miles. 118, At 40 cents per yard, how mucu must be paid for painting the floor of a halls which is 51 Leet; long, and 21 feet wideo 231 Ans.dols, 47,60.
119. Paid dols. 47,60, being 40 cents per yard for painting the floor of a ball which is sl feet long ; how wide: was it?,"
Ans. 21 feet. di 120. Paid dols. 47,60, for painting the floor of a hall, 51 feet long, and 21 feet wide ; how much was it per
Ans. 40 cents. 121. Paid dols. 47,60, at 40 cents per yard for painting a floor which is 21 feet wide ; required its length.
An's. 51 feeq 122. How much is j of , of of a dollar?
* Ans. 25 cents. 123. A military officer drew up his soldiers in rank and file, having the number in ' rank and in file equal ; on being reinforced with three times his first number of men, he placed them all in the same form, and then the number in rank and in file wasi just double what it was at first; he was again reinforced with 12 times his first number of men; and after placing the whole in the same form as at first; his number in rank and in file was 40 men each ; how many men had he at first, and after each reinforcément ?
100 at first. 3 Ans: 400 after the first reinforcement asuu
1600 after the second reinforcement. 124. At 2s. 3d. per square yard,' I paid 12s9d. for painting a trough inside, which was 12 feet long, and I foot wide within ; required its depth.*?!
Ans. I foot, 6 inches deep. 125. At 2s. 6d. per yard, a trough cost 10s. 5d. for painting inside, which was I foot wide, and I foot, 3
inches deep ; required the length Ans. To feèt
Ans. 10 feet long 126. What is the cube root of 466564 Ans. 36. 127. What is the square root of 1296 ? ) Ans. 36. 128. What proportion of 144' is 12 ... Ans. 12. 129. How much is į of f, of 1 of 10 dols?
Ans. dols. 2,50. 130. A merchant shipped for the West Indies, 150 thousand feet of boards, at 6 dols, per thousand, 2000 quintals of cod fish, at 3 dolsi per quintal, 25C. 2qrs. 16lb. of candles, at 124 cents per tbr: 100 thousand shingles, at $2 per thousand ; the charges of shipping