(5) A merchant would mix wine at 14, 19, 15 and 22 rupees per dozen, fo as that the mixture may be worth 18 rupees per dozen, what quantity of each must be taken? Anfwer 4 dozen at 22, 3 at 19, I and 4 at 14 rupees per dozen. at 15, (6) A goldsmith has gold of 17, 18, 22 and 24 carats fine, how much muft he take of each fort to make 21 carats fine? Anfwer 7 carats of 24, 4 of 22, 3 of 12, and 4 of 17 carats fine. (7) A vintner would make a mixture of Malaga worth 7rs. 84. per gallon, with Canary at 6rs. 12a. fherry at 5 rupees per gallon, and white wine at 4rs. 8a. and 4 rupees per gallon; what quantity of each muft he take, that the mixture may be fo.d for 6 rupees per gallon? Anfwer 72 gallons of rs. Ea. 16 at 6rs. 12a. 35 at 5rs. 24 at 4rs. Ca. and 24 at 4 rupces per gallon. Note, This fum will admit of being linked above 20 different ways. ALLIGATION PARTIAL, A LLIGATION PARTIAL is when the rates of all the things, the quantity of but one of them, and the mean rate of the whole mixture are given to find the feveral quantities of the reft in proportion to the quantity given. RULE. Fira take the differences between each price, and the mean rate, and place them alternately, as in Alli gation Alternate. Then fay As As the difference of the fame name with the quantity given Is to the rest of the differences severally; So is the quantity given To the feveral quantities required. Or As the difference oppofite the price of which the quantity is given Is to the faid given quantity, To the quantity required. Prove queftions in this rule as in Alligation Alter nate. (1) How much water muft I mix with 63 gallons at 4rs. 1. per gallon, to reduce it to 3rs. 6a. per gallon? ift way. 2. Mean price 54 {5]{+} Sum of the differences 65 differences. op. diff. giv. quan. other diff. its quantity. 54a. 63 gals. :: 11a. : 12 gals. Anfr. 2d way. : op. diff. giv. quan. fum diff. 54a. 63 gals. :: 65a. : 5 75 gals.-53 gals. 12 4 5+ whole quantity. 75 gals. gals. Anfwer. (2) A man being determined to mix 12 maunds of gram at 18 annas per maun, with kolye at 30 annas, peas at 36 annas, and beans at 48 annas per maund; I demand how much kolye, peas and beans must be mixed with 12 maunds of gram that it may bear rhe price of 22 annas per maund? Anfwer I maund of each fort. (3) A man being determin d to mix 12 maunds of beans at 3 rupees per maund with peas at 2rs. Ɛa, with kolye at 1r. Sa. and with gram a 12 annas per maund; I demand how much peas, kolye and gram must be mixed with the 12 maundsof beans, that the whole may be fold for 1r. 12a. per mannd? Anfwer 15mds. at 2rs. Ɛa, 9 at 1г. Sa, and 24 at 12 annas per maund. (4) A man mixed 10 maunds of potatoes at 1r. Ca. per maund with other potatoes at 2rs. Ca. at 3rs. and at 4rs, per maund: 1 demand how much he mixed with the 10 maunds at 1r. Ɛa, that the whole may bear the price of ars. 12a, per maund? Aufwer Smds. at 2rs, 8a. Emds. at 3rs. and 10mds at 4rs. per maur d (5) Required to mix 12 maunds of rice at 18 annas per maund with patcherry rice at 30 annas per maund, with Patna ice at 35 annas, and Dacca rice at 40 annas per inaund: I demand how much of each fort must be mixed with the 12 inaunds, that the whole quantity may bear the price of 42 amas per maund? Anfwer mids. 30. 12mds. at 3. and Smds at 49a. per md. (6) With 60 gallons of brandy at 4 rupees per gallon I mix brandy of 3rs 8a, per gallon, and fome water; then I find, it flood me in 3 rupees per gallon; 1 demand how much brandy and how much water I took? Antwer co gallons of brandy at 3rs. 8a. per gallon, and 30 gallons of water. (7) How much Malaga of 7rs. 5a. per gallon, and herry at 5rs. 2a. per gallon, and white wine of 4rs. 2a. the gallon must be mixed with 20 gallons of Canary at 6rs. Ea. per gallon, fo that one gallon of the mixture may stand me in 6 rupees? Anfwer 42gals. 3 gts. of Malaga, 11gals. 1qt. of fherry, and gogals. of white wine. ALLIGATION TOTAL. A LLIGATION Total is when the rates of the feveral things, the quantity to be compounded, and the mean rate of the whole mixture are given to find, how much of each fort will make up the quantity. RULE. Firft place the differences between the feveral prices and the mean rate alternately as in Alligation Alternate, then fav. As the fan of the differences to is the differences of each rate (1) A chandler has 4 forts of fugar, viz. at 8 annas per feer, at 6 annas per feer, at 4 annas per feer, and at 2 annas per feer, and he would have a compofition of a maund weight worth 5 annas per seer, I demand, how much of each fort he must take? (2) A vintner has 4 forts of wine, viz. Canary at 10 rupees per gallon, Malaga at 8 rupees per gallon, |