EXAMPLES. D. ct. Divide 876 25 equal-` 2. Divlde 8967 dol lars equally among ly among 25 men. 34 men. D. ct. D. ct. D. ct. m. 25)876 25 (35,05 Ans. 34) 8967 (263,73,5 4. What is the nineteenth part of 7 D. 12 cts? Ans. 37et. 5m. 3. If 73 yards coft 1 D. 9ct. 5m. what cost 1yd? I Ans. ct. 5th.. 1 RULE OF THREE DIRECT. The Rule of three direct cor fifts of three numbers given to find a fourth, which shall have the fame proportion to the third, as the second has to the firft. Two of the three given numbers are always of one name or quality, viz. money, weight, measure, &c. of which one is the demand. The other is of the fame name or quality with the answer required. In ftating the queftion, thefe numbers must be placed in the following order. RULE. 1. That number which asks the queftion* must be the third term; that which is of the fame name, or quality, the firft; and the other, which is of the fame name or quality with the answer required. the second. 2. If the numbers have feveral denominations, reduce them to the loweft mentioned, and the firft and third to one name. 3. Multiply the second and third numbers together, divide the product by the firft, and the quotient will be the anfwer to the queftion in the fame name you left the middle number, which, if in a small denomination, muft be brought to the highest possible. OBSERVATION 1. If the product of the fecond and third numbers, when multiplied together, be lefs than the first term, reduce the fecond to a lefs denomination. *The number which asks the question has com monly these words before it, viz. How much? How many? What will? What coft? Te. ટર્સમાં 2. If there be a remainder after you have di vided by the fir? term, and the fecond be not reduced to its loweft denomination, then reduce the remainder to the next lefs denomination, and divide again be the fame divifor, and fo on, till nothing remains, or you have brought it to the least denomination. PROOF, Reverse the order of the numbers; that is, make the third term the first; the first term, the third: the answer the fecond, and proceed as before then if the work be right, the anfwer of this ftatement will be equal to the fecond term of the former ftatement. EXAMPLES. 1. If 4 acres of land co.t £17, what will 12 acres coft at that rate? £ 17 Here the queftion is afked, what will 13. acres cofta therefore must be the 3d. term 4, which is likewife acres, muft be the ift, and £17 the ad. 2. If 7 lb. of fugar coft 45. what will 12 lbs. coft ? Ans. £3 4 3. If 1 yard of cloth cost 175. yards coft? what will g Ans £7 13 |