...subtraction, x = 30, and у = 49 — x = 19 ; Л he bought 30 bottles of brandy, and 19 of rum. з. What fraction is that, to the numerator of which if 4 be added, the value is one-half, but if 7 be added to the denominator, its value is one-fifth ? X Let - = the fraction required...

...substitution, #—4 = 3X36—18 ; and by transposition, # = 84 ; .'. A had 36, arid B 84. Prob. 3. What fraction is that, to the numerator of Which if 4 be added, the value is one-half, but if 7 be added to the denominator, its value is one-fifth ? Let x= its numerator, ) ,...

...substitution, y— 4 = 3X36 — 18 ; and by transposition, y=84 ; .'. A had 36, and B 84. Prob. 3. What fraction is that, to the numerator of which if 4 be added, the value is one-half, but if 7 be added to the denominator, its value is one-fifth ? Let x= its numerator, x= its...

...98; .'. by subtraction, x= 30, and y = 49-x= 19; he bought .'50 bottles of brandy, and 19 of rum. 3. What fraction is that, to the numerator of which if 4 be added, the value is one-half, but if 7 be added to the denominator, its value is one-fifth 1 Let - =the fraction required;...

...u= t= 5. 4. (37.) Problems producing simple equations involving two or more unknown quantities. 1. What fraction is that, to the numerator of which,...but if 7 be added to the denominator, the value is } 1 X Let — be the fraction required, then x -f- 4 1 , x 1 = 77-, and — — = = -=-. y 2' y + 1...

...ij + t=l5. (37.) Problems producing- simple equations involving two or more unknown quantities. I. What fraction is that, to the numerator of which,...added, the value is £ ; but if 7 be added to the denomina, tor, the value is } 1 Let — be the fraction required, then y " 2' y+7 5' Clearing of fractions,...

...got £ 140. Required the price of a dozen of each sort. Ans. £ 3 and £ 2. 38. Required a fraction, to the numerator of which if 4 be added, the value...but if 7 be added to the denominator, the value is £. Ans. ™. Or for a general solution : Required a fraction, which, if a be added to its numerator,...

...pair of boots. Substitute 5 for y in the 3d, 26—20 - ' x = — = $2, price of a pair of shoes. o 2 What fraction is that to the numerator of which if 4 be addeJ, the value of the fraction will be % ; but if 7 be added to the denominator, the value will be...

...pair of boots. Substitute 5 for y in the 3d, 26 _ 20 x = - - — = $2, price of a pair of shoes. i> 2. What fraction is that to the numerator of which if 4 be added, the value of the fraction will be 4 ; but if 7 be added to the denominator, the value will be -£ ? Let x = the...

...Subtracting the 3d from the 4th - y=3, the price of an orange, And - - - - - - #=2, the price of an apple. 4. What fraction is that, to the numerator of which if 4 be added, the value is ^, but if 7 be added to its denominator, the value is i 1 Jlns. fa. 5. A and B have certain sums of money : says A to B, "...