## The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |

### From inside the book

Page 41

231 8 315

were called one

measures , both liquid and dry , and this was the same as the present wine

.

231 8 315

**gallons**1 barrel , bar . ... from the middle of the ear , and well dried ,were called one

**gallon**, and this was the original standard of all Englishmeasures , both liquid and dry , and this was the same as the present wine

**gallon**.

Page 42

4 quarts 1

make 1 quart , qt . cu . 33.6 pt.1 qts . 4 quarts 1

...

4 quarts 1

**gallon**, gal . inches 282 86**gallons**1 barrel , bar . 10152 144 S6 } 54**gallons**1 hogshead , hhd.li 152281 216 54 1 XIII . DRY MEASURE . 2 pints , pts .make 1 quart , qt . cu . 33.6 pt.1 qts . 4 quarts 1

**gallon**, gal . in.67.2 2 11 8 quarts...

Page 82

10d . a galwheat at $ 1.20 per bushel , 12 lon , with 12

of rye at 60 cents , and and 8 at 6g . 3 d . a

, what is a

10d . a galwheat at $ 1.20 per bushel , 12 lon , with 12

**gallons**at 5s.6d . , bushelsof rye at 60 cents , and and 8 at 6g . 3 d . a

**gallon**; 10 bushels of corn at 50 cents, what is a

**gallon**of the mixture together ; what is a bushel of worth ? Ans . 5s . Page 84

A grocer would mix teas per

per 16. , brandy at $ 1.25 per

vessel of 80

A grocer would mix teas per

**gallon**, must be mixed with at 3s . , 4s . , and 4s . 6d .per 16. , brandy at $ 1.25 per

**gallon**, so and would have 30 lb. of the as to fill avessel of 80

**gallons**, mixture worth 3s . 6d . per Ib : and that a**gallon**of the mix- ... Page 85

6d . , and 6s . per

composition worth mixture may be wor 58. 4d 8s . per lb. ? per

against the ...

6d . , and 6s . per

**gallon**, Ib . at 43. per lb .; how much of must be mixed with 8**gallons**each sort must he take to at 4s . per**gallon**, so that the make thecomposition worth mixture may be wor 58. 4d 8s . per lb. ? per

**gallon**? 4 4against the ...

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### Common terms and phrases

acres added Addition amount ANALYSIS answer bush bushels called cash cents Change ciphers column common compound contains cost cube cubic decimal denominator denoted diameter difference distance divide dividend division divisor dollars dolls equal evidently example expressed factors feet figures foot four fraction gain gallon give given greater half Hence hundred hundredths inches interest least left hand length less mean measure method miles months multiplicand multiply names operation payment period person pound principal proceed proportion quantity QUESTIONS FOR PRACTICE quotient ratio receive Reduce remainder right hand rods root rule share shillings side simple solid square square root subtract supposed tens tenths third tion units vulgar weight whole worth write written yard

### Popular passages

Page 82 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.

Page 89 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.

Page 118 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.

Page 111 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend...

Page 94 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.

Page 120 - Add together the most convenient indices to make an index less by 1 than the number expressing the place of the term sought. 3. Multiply the terms of the geometrical series together belonging to those indices, and make the product a dividend. 4. Raise...

Page 115 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 31 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.

Page 2 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...

Page 93 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.