el? 2. If 147 bushels of rye cost £47 12s. 6d. what is it per bush Ans. 6s. 53d. 3. If 331 yards of baize cost £25 13s. 94d. what is it per yard? Ans. 15s. 51d.. 4. If 147lbs. cost $158 76c. what is the price of 1 pound? 95 Ans. $1 8c. 5. Bought 331yds. of cloth for $85 63c. 2m.; what did I pay a yard? Ans. $2 57c. 5m. Note. This proves the 3d and 4th Cases in Multiplication. 5 and 4 Divide by 14)273 9 4(19 10 8=1 woman's share. Mult. by 2 10 shares. Add 4 women's shares. 14 the number of equal £39 14)149(10 14 £195 1 41 man's share. 5 men. 6 8 men's share. 2. Divide £120 17s. 4d. among 7 men and 7 women, and give the women 3 times so much as the men. Ans. £4 6 4d. a man's share. £12 19s. a woman's share. 3. Divide £39 12s. 5d. among 4 men, 6 women, and 9 boys: Give each man double to a woman, and each woman double to a boy. Ans. £1 1s. 5d. a boy's share. £2 2s. 10d. a woman's share. £4 58. 8d. a man's ditto. 4. Divide 5 guineas among 8 men :-Give A 8d. more than B, and B 8d. more than C, &c. Ans. H's share=15s. 2d. REDUCTION OF COINS. RULES for reducing the Federal Coin, and the currencies of the several United States; also English, Irish, Canada, Nova-Scotia, Livres Tournois and Spanish milled Dollars, each to the par of all the others.* The Rules for the reduction of money depends upon the relative value of the currency of different States, &c. This value is given in the several rules. Thus 4 pounds of the currency of New York and North Carolina, are equal to 3 pounds of New England and Virginia; 4 of New England and Virginia, are equal to 3 of England; 4 of New England &c. are equal to 5 of Pennsyl vania, New Jersey, &c.; and 1 pound of New England, &c. is equal to seven ninths of a pound of South Carolina and Georgia, and thus of the others. The rules are therefore obvious. In some cases, the process is contracted, and the contraction is given for the rule, because the operation is simplified. Thus the first rule is equivalent to multiplying the pounds and decimals by 20 and dividing the product by 6, the shillings in a dollar. But as 20, the sum is multiplied by 10 in removing the separatrix one figure to the right, before the division by 3 is made. The relative value of a depends on the number of shillings reckoned to the dollar,-the greater the number of shillings in a dollar, the less the £, and the reverse. Reduce £100 New Hampshire, III. To reduce New Jersey, Penn &c. to Livres Tournois. currency. Rule.--Multiply the Federal money by 3, and if it consist of dollars only, cut off 1 figure, if of cents also, cut off 3, and if of mills, 4 figures at the right hand; then reduce the figures so cut off to farthings each time cutting off as at first and the left hand figures are pounds, shiilings, &c. Or, reduce them by inspection. 1. Reduce $1166 51c. 3m. to New England currency. $ c. m. 1166.51 3 sylvania, Delaware and Maryland currency. 1. To New Hampshire, Massachusetts, Rhode Island, Connecticut, and Virginia currency. Rule. Deduct one fifth from the New Jersey, &c. sum, and the remainder will be NewHampshire, &c. currency. Reduce £100 New-Jersey, &c. to New-Hampshire, &c. 5. To Irish Money. Rule. Multiply the New Jersey, &c. by 13, and divide the product by 20. Reduce £100 New Jersey, &c. to Irish. 100 Ans. 1400liv. 10)14000 1400 8. To Spanish milled dollars Rule. Multiply the New Jersey, &c. pounds by 23 and the product will be dollars.--Or, multiply them by 8: Divide the product by 3, and the quotient will be dollars.-If there be shillings in the given sum, for every 7s. 4x3+the giv. sum. 6d. add 1 dollar to the quotient. Reduce £100 10s. New Jersey, &c. to dollars. 400 1200 +100 20=4x5)1300 4)260 100 Or 100 £65 Answer. 6. To Canada and Nova Scotia IV. To reduce New York and N. currency. Rule. Deduct one third from the New Jersey, &c. Carolina currency. 1. To New Hampshire, Massachusetts, Rhode Island, Connecti Reduce £100 New Jersey, &c. cut, and Virginia currency. to Canada, &c. 3)100 33 6 8 £66 13 4 Ans. 7. To Livres Tournois. Rule. Multiply the New Jersey, &c. pounds by 14, and the product will be Livres Tournois, -or multiply the sum in shilJings by 7 divide, the product |