# The Tutor's Assistant Modernised: Or, A Regular System of Practical Arithmetic: Comprising All the Modern Improvements in that Art, that are Necessary for the Man of Business and the Practical Scholar

Hall and Elliot, 1791 - Arithmetic - 283 pages
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### Contents

 Proof 12 Tables of Money Weights and Meaſures 26 Addition of Compound Quantities 33 Subtraction of Compound Quantities 39 9 From 43 Multiplication of Compound Quantities 46 Diviſion of Compound Quantities 59 Denton near Darlington 72
 Barter 155 Alligation 170 Arbitration of Exchanges 198 Bills of Exchange 204 Vulgar Fractions 211 11 216 134 223 Decimal Fractions 230

 The Single Rule of Three 73 The Double Rule of Three 79 Tare and Trett 98 Bills of Parcels 104 CONTENTS 105 Book Debts 115 Simple Intereſt 121 Commiſſion 134 Compound Intereſt 140 Equation of Payments 147
 136 235 Diviſion of Decimals 236 The Rule of Three in Decimals 243 147 244 Remainder 248 Extraction of the Cube Root 254 Duodecimals 260 From 618428 take 107674 261 Geometrical Progreſſion 267 151 280

### Popular passages

Page 208 - To reduce fractions to a common denominator RULE. Multiply each numerator into all the denominators, except its own, for a new numerator, and all the denominators together for a common denominator. ' EXAMPLES. 1. Reduce 7 and -= to a common denominator.
Page 207 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 246 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units.
Page 273 - To be 100 feet from th' top to th' ground ; Against the wall a ladder stood upright, Of the same length the castle was in height : •A. waggish youngster did the ladder slide (The bottom of it) 10 feet from the side ; ' Now I would know how far the top did fall, By pulling out the ladder from the wall t A 6 ini nearly 26.
Page 256 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 267 - Old John, who had in credit liv'd, Though now reduc'd, a sum receiv'd. This lucky hit's no sooner found, Than clam'rous duns came swarming round. To th' landlord — baker — many more, John paid, in all, pounds.
Page 26 - Thirty Days hath September, April, June and November ; February hath Twenty-eight alone, And all the rest have Thirty-one ; Except in Leap Year, — then's the time February's Days are Twenty-nine.
Page 166 - Take the difference between each price, and the mean rale as before; then say, as the difference of that simple, whose quantity is given, is to the rest of the differences severally; so is the quantity given, to the several quantities required. ExAMPLES.
Page 193 - IK compound arbitration the rate or price of exchange between three, four, or more places, is given, in order to find how much a remittance paffing through them all will amount to at the laft place ; or to find the arbitrated price, or par of arbitration, between the iirlt place and the laft.
Page 268 - I. To find the number of permutations or changes, that can be made of any given number of things, all different from each other. RULE.