This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ...are positive, and therefore (a--b) + (b--c), or a--c is positive, .-. ac. 185. The sum or product of the corresponding members of two inequalities that subsist in the same sense is an inequality in the same sense. For, let ab and cd, then, by 179, a + cb + c and b + c 6 + d. Whence, 184, a + c b + d. Let the ...
Read More
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ...are positive, and therefore (a--b) + (b--c), or a--c is positive, .-. ac. 185. The sum or product of the corresponding members of two inequalities that subsist in the same sense is an inequality in the same sense. For, let ab and cd, then, by 179, a + cb + c and b + c 6 + d. Whence, 184, a + c b + d. Let the student show, in like manner, that ac bd. 186. The difference or quotient of the corresponding members of two inequalities that subsist in the same sense is indeterminate. That is, the result may subsist in the same sense, or in the opposite sense, or it may be an equality. For example: PERCENTAGE 187. Base, Rate, Percentage. (See arithmetic.) What is the base? the rate? the percentage? A dealer bought a number of mules for $2500, and sold them at a gain of 8 f0. Find his profit. 8 % of $ 2500 = r jh, of 12500 = 1200, A ns. Here, $2500 is the base, 8% the rate, and $200 the percentage. Denoting the base by 6, the rate by r, and the percentage by p, we have the formula: p = bxr. (A) The percentage equals the base multiplied by the rate. Solve (A) for b, and give the interpretation. Solve (A) for r, and give the interpretation. 1. In an army of 24,256 soldiers 6 % of the men were killed in battle. How many men were killed? 2. A merchant bought a barrel of flour for $5.25, and sold it at a profit of f.63. What per cent did he gain? 3. $1260 is 84 % of what sum? 4. A man sold a horse for $126.60, and gained 5 %. Find the cost of the horse. Hint. Let x = the cost, then x + 5J% of x =126.50. 5. How much did a dealer pay for a wagon which he sold for $91.20 at a loss of 5 %? 6. The bicycles of James and John cost the same. James sold his for 160, and John his for $64. If James gained 25%, what per cent did John gain? Hint. Let x = the...
Read Less
