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56

ARITHMETIC.

Part I.

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124. What will 4tons of iron come to, at $4.00 per cwt. ? 125. What will 7 cwt. of sugar come to, at 8 cents per lb. ? 126. What will 8 hhd. of molasses come to, at $0.48 per 127. What will 1973 tons of iron come to, at $0.05 per lb. ? 128. What will 23j; pipes of brandy come to, at $1.43

129. At 5s. per bushel, what will 4 bu. 3 pks. 5 qts. of corn come to ?'

130. At $9.00 per cwt., what will be the price of llb. of sugar ? What will 3 cwt. 2 qrs. 7 Ib. come to at that rate ?

131. At $87.00 per cwt., what cost 4 chests of tea, each weighing 3 cwt. 3 qrs. 14 lb. ?

132. What cost 18 gals. 3 qts. of brandy, at the rate of $97.00 per hhd. ?

133. Bought a silver cup weighing Yoz. 4dwt. 16 grs. for 3£. 2s. 3d. How much was it per grain. How much per ounce ?

134. Bought a silver tankard weighing 1 lb. 8 oz. 17 dwt. 13

gr. for $25.00; how much was it per ounce ?

135. If 34 tons 9 cwt. 2 qrs. 18 lb. of tallow cost $6,500,00, what is it per lb. ? How much per ton ?

136. A and B traded ; A sold B 81 cwt. of sugar, at 12 cents per lb.; how much did it come to? In exchange, B gave A 18 cwt. of flour; what was the flour rated at per Ib. ?

137. B delivered C 2 pipes of brandy, at $1.40 per gallon, for which he received 87 yards of cloth ; what was the cloth valaed at per yard ?

138. D sells E 370 yards of cotton cloth at 33 cents per yard; for which he receives 500 lbs of pepper ; what does the

pepper stand him in per lb. ? 139. A merchant bought 3 hhds. of brandy, at $1.30 per gallon, and sold it so as to gain of the first cost ; how much. did he sell it for per gallon ?

140. A merchant bought a quantity of tobacco for $250.00, and sold it so as to gain is of the first cost; how much did he sell it for ?

141. A merchant bought 1 bhd of wine for $80.00; how much must he sell it for to gain $15.00 ? How much will that be a gallon ?

142. A merchant bought 500 barrels of flour for $3,000,00; low much must he sell it for per barrel to gain $250.00 on the whole ?

143. A merchant bought 350 yards of cloth for $1,800,00; how much must he sell it for to gain is of the first cost ? How much will that be a yard ?

144. A merchant bought 2 hhds. of molasses for $35.28; how much must he sell it for per gal. to gain of the first cost ?

145. A merchant bought 7 cwt. of coffee for $175.00, but being damaged he was willing to lose { of the first cost. How much did he sell it for per lb. ?

146. A merchant sold 7 cwt. of rice for $22.75, to receive the money in 6 months, but for ready inoney he agreed to inake a discount of joy of the whole price. How much was the rice per lb. after the discount !

147. If 8 boarders will drink a cask of beer in 12 days, how long would it last 1 boarder? How long would it last 12 boarders ?

148. If 23 men can build a wall in 32 days, how many men would it take to do it in 1 day? How many men will it take to do it in 8 days ?

149. If 15 men can do a piece of work in 84 days, how many men must be employed to perform the whole in 1 day? How many to do it in 30 days ?

150. If 18 men can perform a piece of work in 45 days, how many days would it take 1 man to do it? How long would it take 57 men to do it?

151. If 25 men can do a piece of work in 17 days, in how many days will 38 men do it?

152. If a man perform a journey in 8 days, by travelling 12 hours in a day, how many hours is he performing it? How many days would it take him to perform it if he travelled only 8 hours in a day?

.153. If a man, by working 11 hours in a day, perform a piece of work in 24 days, how inany days will it take him to do it if he works 13 hours in a day?

154. If I can have 5 cwt. carried 138 miles for 11 dollars, how far can I have 25 cwt. carried for the same money ?

155. Suppose a man agrees to pay a debt with wheat, and that it will take 43 bushels to pay it, when wheat is 7 shillings per bushel ; how much will it take when wheat is 9 shillings per bushel ?

156. If 11 men can do a piece of work in 14 days, when the days are 15 hours long, how many men would it take to do it in the same number of days, when the days are 11 hours Jong?

157. If 5 men can do a piece of work in 5 months by working 7 hours in a day, in how many months will they do it, if they work 10 hours in a day?

158. Two men, A and B, traded in company; A furnished as of the stock and B. }; they gained $864.00; what was each one's share of the gain ?

159. Three men, A, B, and C, traded in company ; A furnished 3 of the capital; B #, and the rest. They gained $8,453,67; what was each one's share of the dividend ?

160. Two men, B and C, bought a barrel of flour together. B paid 5 dollars and C 3 dollars; what part of the whole price did each pay? What part of the flour ought each to have ?

161. Two men, C and D, bought a hogshead of wine ; C paid $47.00, and D 53.00; how many dollars did they both pay? What part of the whole price did each pay? How many gallons of the wine ought each to have ?

162. Three men, C, D, and E, traded in company; C put in $850.00; D, 942.00; and E, $1,187.00; how many dollars did they all put in? What part of the whole did each put in ! They gained $1,353.18; what was each man's share of the gain ?

163. Five men, A, B, C, D, and E, freighted a vessel : A put on board goods to the amount of $4,000.00; B, $15,000.00 ; C, $11,000.00; D, $7,500.00; and E, $850.00. During a storm the captain was obliged to throw overboard goods, to the amount of $13,400.00; what was each man's share of the loss ?

164. Three men bought a lottery ticket for $20.00; of which F paid $4.37; G $8.53 ; and H, the rest. They drew a prize of $15,000.00; what was the share of each ?

165. Three men hired a pasture for $42.00; the first put in 4 horses ; the second, 6; and the third, 8. What ought each to pay ?

166. A man failing in trade, owes to A $350.00; to B $783.00 ; to C $1,780.00; to D $2,875.00 ; and he has only $2,973.00 in property, which he agrees to divide

among

his creditors in proportion to the several debts. What will each receive ?

167. What is 31 of 378,648?
168. What is of 87 ?
169. What is of 3 ?

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XVII. 1. If 2 lb. of figs cost i of a dollar, what is that a pound?

2. If 2 bushels of potatoes cost of a dollar, what is that a bushel ? What would be the price of 8 bushels at that rate ?

3. If of a barrel of flour were to be divided equally among 3 men, how much would each have ?

4. If 3 horses consume , of a ton of hay in 1 month, how much will 1 horse consume? How much would 11 horses consume in the same time?

5.* If 3 lb. of beef cost of a dollar, what would a quarter of beef, weighing 136 lb., cost at that rate ?

6. If 2 yds. of cloth cost of dollars, what will 7 yards cost at that rate ?

7. If 4 bushels of wheat cost 32, shillings, what will 17 bushels cost ?

8. If 3 sheep are worth 23 bushels of wheat, how many bushels is 1 sheep worth ? IIow many bushels are 50 sheep worth at that rate ?

Note. Reduce 23% to fifths, or divide as far as you can, and then reduce the remainder to fifths, and take ţ of them.

9. If 7 calves are worth 597 bushels of corn, how many bushels are 15 calves worth at that rate ?

10. A man laboured 15 days for 20 dollars ; how much would he earn in 3 months at that rate, allowing 26 working days to the month ?

11. A man travelled 8811 miles in 17 hours ; how far did he travel in an hour ?

* See First Lessons, Sect. XIV.

eide

12. A man travelled 476 miles in 8 days; how far did he travel each day, supposing he travelled the same number of miles each day ?

13. Divide 77 | bushels of corn equally among 15 men.

14. If 23 yards of cloth cost 1752 dollars, what is that a yard ?

15. If 35 lb. of raisins cost 3,80 dollars, what will 2 cwt. cost at that rate ?

16. A man divided į of a water-melon equally between 2 boys; how much did he give them apiece ?

17. Suppose you had I of a pine apple and should each part be? 18. If

you divide of a bushel of corn equally between 2 men, how much would you give them apiece ? *19. What is į of ?

20. If you divide { of a bushel of grain between two men, how much would you give them apiece ?

Note. Cut the third into two parts. What will the parts be ?

21. What is į of } ?

22. If .you divide of a barrel of flour equally between two men, how much will you give them apiece ?

23. What is į of } ?

24. A man having of a barrel of flour divided it squally among 4 men; how much did he give them apiece ?

25. \Vhat is 1 of į? 26. I: 3 lb. of sugar cost of a dollar, what is it a pound ? 27. What is į of s? 28. If 5 lb. of rice cost of a dollar, what is that a pound ?

29. If 3 lb. of raisins cost of a dollar, what is that a pound ? What will 2 lb. cost at that rate ? What 7 lb. ?

30. What is (of ? What is of į? What is į of į?

31. If7 lb. of sugar cost of a dollar, what is it a pound? What will 5 lb. cost at that rate ? What would 15 lb. cost ?

32. What is ļoff? What is of ? What is of z?.

33. During a storm, a master of a vessel was obliged to throw overboard is of the whole cargo. What part of the whole loss must a man sustain who owned s of the cargo?

34. A man owned and of the capital of a cotton manufactory, and sold i of his share. What part of the whole cap ital did he sell? What part did he then own?

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