## A Mental Arithmetic on the Inductive Plan ...R.S. Davis & Company, 1875 |

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### Common terms and phrases

12 cents 12 days 12 dollars 12 rods 20 per cent 60 cents 9 cents 9 dollars acre apples cost barrels of flour bought boys bushels of corn cents a pound cents a quart cents apiece cents will buy cherries chestnuts cistern contained cords of wood cost 8 dollars cows denominator dimes divided division dollars a yard earn eight equal feet fifths form of analysis fourths furlongs gain gallons gave given GREENLEAF'S half halves hogshead horse hundred-weight improper fraction interest of $1 James John lars less LESSON lowest terms melon miles an hour molasses months multiplying ninths NOTE ounces paid papers of pins peaches pecks pence pennyweights pine-apple pints pounds of sugar present worth principal pupil quire rate per cent receive Reduce remainder sell sevenths sheep shillings sixths square rods tens tenths third three-cent piece tons week whole number yards of cloth

### Popular passages

Page 21 - Multiplication is the process of taking one number as many times as there are units in another number.

Page 74 - Multiplying the numerator and denominator of a fraction by the same number does not alter the value of the fraction.

Page 130 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4 miles an hour, and the other at the rate of 5 miles an hour, how far apart will they be at the end of 1 hour ? At the end of 2 hours ? 5 hours?

Page 132 - Three men, A, B and C, are to share $400 in the proportion of J, £ and ^ respectively ; but, as C died, it is required to divide the whole sum properly between the other two ; how much should each receive ? 20.

Page 26 - The Dividend is the number to be divided. The Divisor is the number by which we divide.

Page 112 - Interest is money paid for the use of money. The Principal is the sum of money which is loaned.

Page 28 - If 4% bonds to the amount of $8000 face value are bought at 92^%, find the cost of the bonds, and the rate of income on the investment. 12. If 3 men can do a piece of work in 8 days of 10 hours each, how many men will be required to do the same work in 6 days of 8 hours each ? (Solve by proportion.) 13. By selling a horse for $144, a profit of 60 per cent is made; find the cost of the horse.

Page 131 - A cistern has 4 pipes ; the first will fill it in 2 hours, the second will fill it 3 hours, the third in 4 hours, and the fourth will empty it in 2 hours ; now, if the pipes are all open at the same time, how long will it take to fill the cistern ? 10.

Page 87 - ... 291. MAGNITUDES WHICH ARE INVERSELY PROPORTIONAL TO OTHER MAGNITUDES OR TO THE SQUARES OF OTHER MAGNITUDES. EXAMPLE. If 5 men do a piece of work in 16 days, how long will it take 8 men to do a similar piece of work ? OPERATION AND EXPLANATION. It is evident that the time required will be inversely proportional to the number of men employed ; that is, if twice as many men are employed, not twice as much, but $ as much time will be required.

Page 44 - TABLE. 4 farthings (qrs.) make 1 penny, marked d. 12 pence - - - - 1 shilling, - - s. 20 shillings - - - - 1 pound, - - £. Note.