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SUPPLEMENTARY PROBLEMS.
To be omitted unless otherwise directed.

CINCINNATI, O., Sept. 25th, 1874 MB. John WALLER,

Bought of TIERNEY & GARDEN. Terms: 30 days.

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Gt.

14 «

2 Doz. Rubber Long Combs,

450

3.50 4.50 6.00 1 Gro. Horn

X8' 10' 12
1 Doz. Tooth Brushes,

175
72
Jet Sets,

7 25
Gro. Rubber Coat and Vest Buttons ea. 1.00 & 75, 1/75
Black Suspender

1 62 40 Yd. Jaconet,

20 Irish Linen,

67

65 729 1.35 2.00 3 Pcs. Silk Velvet Ribbon

19' 24' 4' Less to

707 Rec'd payment,

J. G. HERR & Co. NOTE. This bill shows another method of abbreviating entries of similar

3.50 4.50 6.00 items. Gro. Horn Combs

means that there are } gros

*8' 10 12 No. 8 @ $3.50, 4 gross No. 10 @ $4.50, and 4 gross No. 12 @ $6. In the last item 14, 24, etc., are the width of the ribbon, the upper numbers being the price a hefore.

}

SUPPLEMENTARY PROBLEMS.

To be oniitted unless otherwise directod. 236. Let pupils make out bills, accounts, and invoices from the following statements:

4. Tyndale & Co., Philadelphia, sold to Mrs. Johr. Smith, Dec. 31, 1874, the following articles: 1 Soup Tureen, @ $3.50; 2 Sauce Tureens, @ $1.25; 1 doz. Tulip Goblets, @ $1.40; 1 doz. Individual Salts, @ 509; 2 Glass Pitchers, @ 62}$; 3 Oval Glass dishes, @ 50%; 1 Glass Nappy, @ 75% ; 4 Cov'd Dishes, @ $1.25 ; 3 doz. Stoncware Plates,-1 doz. 6 in., @ $1.25, 1 doz. 7 in., @ $1.40, 1 doz. 8 in., @ $1.60; required the bill, receipted. Ans. $20.65.

5. Mrs. Amelia Watson, Newark, N. J., presented the following bill to James Haven, March 1, 1875; Board for 4 weeks, @ $9; fuel and light 4 weeks, @ $1.50 ; washing 5} doz. @ $1. Mr. Haven presented the following bill to Mrs. Watson at the same date: February 5th, 15 lb. Tea, @ 759; 10 lb. Coffee, @ 35% ; February 9th, 25 lb. Granulated Sugar, @ 12%; 5 lb. Brown Sugar, @ 109; 1 barrel No. 1 Mackerel, $25; February 26th, 5 lb. Butter, @ 50%, and 17 dozen Eggs, @ 429. Make out both bills, receipting the smaller and crediting the amount upon the other.

Ans. Bal. $1— 6. August 25, 1875, Franklin S. Fuller, of Memphis, Tenn., purchased

15 of Kuhn & Furst, Philadelphia, 25 boxes Raisins, @

$3.25 $2.55 100 250

i 74' 78 150 lb. Dates, @ 57%; 100 lb. Turkish

75 Prunes, @ 81%; 125 lb. French Prunes, @ Baracoa Bananas, @ $1.75; and gave a due bill for amount. Make out bill and receipt it.

Ans. $150. 7. Mr. Thomas Walker, of Aiken, S. C., bought of Hess, Rogers and Chambers, Philadelphia, the following articles, Oct. 14, 1876: 3 doz. Lalies' Berlin Gloves, @ $2.25; 1 doz. Ladies' Wzite Silk do., @ $5.50, I doz. do. Berlin ļ Gauntlets, @ $3.75; 1 doz. Colored Buck do., @ $15; 1 doz. Ladies' Black Jouvin Kid Gloves, @ $16 ; } doz. White do., @ $15; 2 doz. Gents’ Buck Driving Gauntlets, @ $16.50 ; 2 doz Gents' White Kid Gloves, @ $11; 1 doz. Child's White Cotton Hose

90 100 110 3° 30' . make out bill for amount, deducting 20%.

Ans. $91.40

10

; 350

Ib. Currants,

50

159' 12ļøi 12 bunches oi

8C

95

SECTION VI.

DENOMINATE NUMBERS.

237. A Denominate Number is a concrete pumber in which the unit is a measure; as 3 feet, 4 pounds, etc.

238. A Measure is a unit by wbich quantity of magni. !ude or continuous quantity is estimated numerically; as, s yard, a pound, etc.

239. A Compound Denominate Number is a number which expresses several different units of the same kind of quantity; as, 4 yd., 2 ft., and 11 in.

240. The Terms of a compound number are the num bers of its different units. Thus the terms in the example given are 4 yd., 2 ft., and 11 in.

241. Similar Compound Numbers are compound numbers which express the same kind of quantity.

242. Denominate Numbers may be embraced under eight distinct classes, as follows: 1. Talne.

5. Volume. 2. Weight.

6. Capacity. 3. Length.

7. Time. 4. Surface.

8. Angles. NOTE.-Concrete numbers are of two classes : 1st, those in which the unit is natural ; 2d, those in which it is artificial. Natural units are such as exist in nature, and artificial units are those which are agreed upon to measure quantity of magnitude. The latter are called denominate numbers.

MEASURES OF VALUE. 243. The Value of anything is its worth, or that property which makes it useful or estimable.

244. Money is the measure of the value of things. It is of two kinds, coin and paper money.

245. Coin, or Specie, is metal prepared and authorized by government to be used as money.

246. Paper Money consists of printed promises to pay the bearer a certain amount, duly authorized to be used as money.

247. Currency is whatever circulates as money. It is of two kinds, specie currency and paper currency.

248. Legal Tender is a term applied to money which is required by law to be accepted in payment of debts.

249. An Alloy is a baser metal compounded with either gold or silver for the purpose of rendering it barder and more durable. In coinage, the alloy is considered as having no valne.

UNITED STATES MONEY. 250. United States, or Federal Money, is the legal currency of the United States.

TABLE.

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10 mills (m)

=l cent

ct. 10 cents

=1 dime

d. 10 dimes

xl dollar 10 dollars

=1 eagle I. NAME.- United States money 18 so called because it is the money of the United States. It is called Federal Money because it was the money of the Federal Union. It was adopted by Act of Congress, Aug. 8, 1786.

II. TERM8.-— The term dollar is supposed to be from Dale or Faleburg, a town where it was first coined ; dime is from the French disme, meaning a tenth; cent is from the Latin centum, a hundred ; mill is from the Latin mille, a thousand; eagle is from the name of the national bird. The cent was proposed by Robert Morris, and named by Thomas Jefferson.

III. UNIT.—The unit is the gold dollar. The currency is founded upon the decimal system, dimes, cents, and mills being written as decimals. This gives great simplicity to the operations.

IV. COINS.—The coins are of gold, silver, nickel, and bronze. The gold coins are the double eagle, eagle, half-eagle, quarter-eagle, and one dollar. The silver coins are the dollar, half-dollar, quarter-dollar, and dime. The nickel coin is the five-cent piece. The bronze coin is the cent.

The gold three-dollar piece, the silver twenty-cent piece, half-dime and three-cent piece, the nickel three-cent piece and cent, the bronze two-cent piece, and the old copper cent and half-cent, although still occasionally seen in circulation are no longer coined. The mill has never been a coin ; it is merely a convenient name for the tenth part of a cont.

V. COMPOSITION.—The gold and silver coins consist of 9 parts of pure metal and 1 part alloy. The alloy of the silver coin consists of pure cop per; the alloy of the gold coin consists of silver and copper, the silver not to exceed to of the alloy. The nickel coins contain } nickel and copper. The bronze coins consist of 95 parts copper, and 5 parts tin and zinc.

NOTE.-The Notes on the tables are not to be memorize or recited, un. less otherwise directed.

VI. Gold coins are a legal tender for any amount; silver coins, of the present coinage, for any amount not exceeding $5 in any one payment; bronze and nickel coins for any aniount not exceeding 25 cents in any one payment.

MENTAL EXERCISES.

1. How many cents in $1? $70 ? ${? $3? $1? $}? ${?

2. What part of a dollar is 10 cts.? 12} cts.? 20 cts.? 25 cts.: 16 cts.? 33} cts.? 371 cts.? 50 cts.? 621 cts.? 75 cts.? 83} cts.?

3. What part of 5 eagles is 15 dimes? what part of 12 cents is ! of a dime?

4. How many eagles in 60 dollars ? in 400 dimes? in 8500 cents1 in 25,000 mills?

ENGLISH, OR STERLING MONEY. 251. English, or Sterling Money, is the legal currency of England.

TABLE

d.

8.

4 farthings (far. or qr.)=1 penny 12 pence

=l shilling 20 shillings.

=l pound or sovereign, 21 shillings.

=l guinea

£

G.

I. NAME.— The term Sterling is supposed to be derived from Easterling, the name given to early German traders, who came from the east to England. Their money was called Eesterling Money, which was contracted into Sterling Money.

II. Terms.—The term farthing is a modification of “four things," the old English penny being marked with a cross so deeply impressed that it could be broken into two or four pieces, called respectively half-penny and four things. The Pound, as a measure of value, was derived from the pound as a measure of weight, 240 pence formerly weighing a pound The guinea is so called because the gold of which it was first made came from Guinea, in Africa.

III. SYMBOLS.--The symbols £., 8., d., qr., are the initials of the Latin words libra, solidus, denarius, and quadrans; signifying respectively, pound, shilling, penny,

and quarter. IV. UNIT. --The unit is the pound, represented by the sovereign and £1 bank note. , Its value by late act of Congress is fixed at $4.8665.

V. COINS.—The coins are of three classes : gold, silver, and copper. The gold coins are the sovereign (=£1), and half sovereign (=106.), guined (=21 s.) and half guinea (=10 s. 6 d.). The silver coins are the crown (=58.), the half crown (=2 s. 6 d.), the florin (=2 s.), the shilling, and the sir-penny, four-penny, and three-penny pieces. The copper coins are the penny, half-penny, and farthing.

VI. COMPOSITION.-The standard for gold coins 18 22 carats fine, that is, 11 parts pure gold, and 1 part alloy. The standard for silver is 37 parts pare silver and 3 parts alloy, hence the silver coins are 47 pure, and it cop per. Pence and half-pence are made of pure copper.

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