The American Arithmetic

2. What will 212 yards of velvet come to, dollar 25 cents are paid for 1 yard?

if 1

Ans. $26.87 cts. 5 m.

3. What will 6 of a yard of broadcloth come to, at 6 dolls. 75 cts. per yard?

Ans. $45.56 cts. 21 m.

CASE III.

When there are several denominations in the quantity. RULE. Reduce the several denominations to the decimal of the highest, by case 2, in reduction of decimals; then multiply the price and quantity together, point for decimals according to rule; the answer will be dolls. cts. and'm. and parts of m.

1. How much will 3 cwt. 2 qr. 20 lbs. of sugar come to, at $12.10 per cwt.?

28 20 000 8.

cwt. 3.678X 12.10 44dolls.50cts.3 m.

[Ans. N. B. 2 qr. 20 lb. reduced to the decimal of a cwt. is equal to 678 thousandths, which I annex to the hundreds, and multiply by the price.

2. How much will 173 cwt. 3 qr. 27 lb. of iron come to, at $5.51 cts. per cwt.? Ans. $958.69 cts. 1† m. 3. How much will 356 acres, 1 rood, and 7 rods of land come to at $17.21 cts. per acre?

Ans. 86131.80 cts. 2+ m.

4. What will 64 tons. 3 cwt. of potash come to, at $84 50 cts. per ton? Ans. $5420.67 cts. 5 m.

5. What will 38 cwt. 3 qr. 21 lbs. of sugar come to, at $11.52 cts per cwt. ?

Ans. $448-55 cts. 4t m.

6. What will the wages of a servant come to for 70 years, 3 months, 15 days, allowing 26 days to a month, and 12 months to a year, at $6.71 cts. 5 m. per year?

Ans. $472.05 cts. I m

CASE IV.

Rules concerning boards and plank.

Boards, Plank, &c. are sold at a certain price per thousand square feet; and I here would observe, that all the feet under 1000 are exact decimals of a thousand therefore if 6542 feet of boards, or joists were to be sold at a certain price per thousand, place the separatrix between the thousands and the hundreds, thus 6.542; and then multiply the price and quantity together, and the product, pointed as the rule requires, will be the answer in dollars and parts, &c.

NOTE. This rule holds good respecting any thing that is sold by the hundred; thus, if 174 hoops were to be sold for a certain price per hundred, place the separatrix between the hundreds and tens, thus, 174, and multiply the price and quantity together, the product, pointed according to rule, will be the answer in dollars and parts.

Examples.

1. How much will 10751 feet of boards come to, at $11.21 cents per thousand?

Feet

D. cts.

D. cts. m.

10-751 X 11-21120.51.8+ Ans. 2. How much will 1100 ft. of plank come to, at 33 dollars per thousand? Ans. $36.30 cts.

3. How much will 941 feet of clear boards come to at thousand? Ans. $23.52 cts. 5 m.

$25 per

CASE V.

To multiply by fractional parts.

RULE. Multiply by the numerator and divide by the denominator; or reduce the vulgar to a decimal fraction, and multiply, and point off for decimals, according to the rule of decimals.

Examples.

1. What is the value of of a ship, worth $10000; 10000 X 8 80000 10 $8000 Ans.

The same question, by rule second.

18 X 10000 = $8000 Ans.

2. What is of a house worth, which is valued at Ans. $2478.55.1†.

$3470 ?

CASE VI. ..

Weights and Measures.

When the number of casks, &c. are above twelve multiply by two such numbers as will make the number required; if there are no such two numbers, then multiply by two such numbers as will come nearest to the number required, either over or under: then, for the difference either add, or subtract as the case may be; observe to carry as in compound addition.

RULE 2. The several denominations may be reduced to the decimal of the highest; and then multiply the number and the weight, or quantity, together; the product pointed for decimals according to rule, will be the answer required.

Example by rule 1.

1. What is the weight of 9 casks of raisins, cach weigh: ing 3 cwt. 2 qrs. 11 lb. 6 oz. ?