8 by 3, 4, 5, 7, 9, II. 4, 5, 6, 7, 9, II. 15,, 4, 6, 7, 9, 10, 12.

13 ",

(7) 2537 21 53 29 by 7, 8, 9, 10, 11, 12.

4739 13 51 by 16, 15, 18, 24, 25, 28.

J.

25394

(10) 17493

2

96, 99, 47, 83, 67, 39.
100, 586, 295, 690.

9 by 56, 49, 84, 63, 81, 88. I I I 69, 53, 78, 97, 95, 87. 100, 580, 397, 594.

O IO

fur. p.

5 32,9

1000, 439, 586.

(11) 4168 3 30" 495, 380, 700, 890. -
(12) 13687 6 18 386, 789, 437, 298.

(1)

tns. cwt. qrs. lbs.

3275 14 3 25 by 21, 24, 30, 48, 63, 59.
(2) 15873 16 I 18 ,, 47, 58, 69, 78, 37, 89.
(3) 6439 18
(4) 31748 11
3 26

2 19 "
100, 1000, 479, 780.
,, 597, 389, 468, 297.

Ibs. 02. dwts. grs.

(5) 4769 10 17 18 by 25, 48, 49, 84, 37, 69.

(9) 3847 19 43 58 by 42, 45, 50, 63, 59, 29.
(10) 15438 21 29 36
(11) 2758 14 56 43",
(12) 31497 16 42 49,

64, 35, 87, 43, 67, 98. 100, 1000, 600, 800. 479, 678, 390, 596.

K. Five persons on a journey spend £9 75. 3d. What was each person's share of the expenses?

2) If £28 115. 11d. be divided equally amongst 17 people, how much will each receive?

(3) If a mechanic receives a pound a week, what are his daily wages?

(4) Divide £419 equally amongst 480 people. (5) If 53 cwt. cost £9 16s. 61d., what is the cost of I cwt.?

(6) If 1 cwt. of sugar cost £2 135. 8d., what is the price per lb. ?

(7) What is the half-year's rent of one acre of land, if 374 acres let for £1417 6s. Id.?

(8) A grocer bought I cwt. of sugar for £2 3s. 8d. At how much per lb. should he sell it to gain 7s. 8d. on the whole?

(9) By selling a cwt. of sugar for 14 guineas, a grocer gained 3 farthings a lb. What was the cost price per lb. ?

(10) Bought 23 pieces of silk, each 36 yards, for £139 145. 6d. How much did it cost per yard ? (A gentleman saves £46 16s. 54. a year, out

of an income of £1100; what is his average daily expenditure?

2) Seven curtains take 74 yards, at 4s. 6d. a yard; find the cost of each curtain.

L. Divide 17 13s. 6d. between two persons so that one may have twice as much as the other.

(2) A horse, saddle, and bridle are worth £37 Ios., but the horse is worth 9 times the saddle and bridle; what is the horse worth?

(3) A farmer gave £48 15s. 1d. for 29 sheep; six of them died. At what rate per head must he sell the rest to gain £1 2s. 6d. by his bargain?

(4) A grocer mixes 47 lbs. of tea at 2s. 44d. a lb. with 39 lbs. at 25. 10. a lb.; at how much per lb. should he sell the mixture to gain 25. on the whole?

(5) A person bought a hogshead of wine at 15s. a gallon, of which he retained 9 gallons for his own use; at what rate per gallon must he sell the remainder, that he may have his own for nothing?

(6) 27 dollars, 19 half-crowns, and 47 half-guineas amount to £32 135. 6d.; find the value of a dollar.

A person, dividing £21 13s. 6d. amongst 24 people, gave 17s. 4d. to each of 13, and the remainder he divided equally amongst the others; how much did each receive?

(8) A person bought 29 dozen of wine at 283d. per bottle. If 5 bottles be broken, at how much per bottle should he sell the remainder to gain I IIS. by his bargain?

He

(9) A grocer bought. 184 lbs. of cheese at 71. a lb., and half a cwt. of butter at 11d. a lb. gave in payment 16 lbs.

of bacon at road. a lb., and

a chest of tea weighing 68 lbs. of the tea per lb. ?

What was the price

(1) A stationer bought 38 reams of paper at 18s. 9 d. per ream, and paid carriage and other expenses 16s. 11d. He sold the outside quires of each ream at 6d. a quire; at how much per quire should he sell the remainder to gain 5 guineas by his bargain?

SECTION III.

To multiply any given number by a fraction. When one number is written over another number thus, %, the is called a broken number, or fraction. It is read five-sixths, and denotes fivesixths of 1. The number below the line shows that I has been divided into six equal parts, and the number above the line that five of these equal parts have been taken.

In the same way we may find (five-sixths) of any number, namely, by dividing the given number into six equal parts, and taking five of these parts ; that is, by dividing the given number by 6, and multiplying the result by 5.

Find 5 of 18.

To find one-sixth of 18, we divide 18 by 6; this gives 3, and therefore five-sixths of 18 is 5 times 3,

or 15.

Or we may obtain the result by multiplying 18 by 5, and dividing the product by 6, thus: