A Treatise on Arithmetic

A. Miller, 1878 - 347 páginas

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Página 43 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Página 43 - A PROPER FRACTION is one in which the numerator is less than the denominator. The value of every proper fraction is less than 1, (Art. 94). The following are proper fractions : 1 1 1 .3 3. £ 9 jS A 2...
Página 293 - A banker borrows money at 3^ per cent, per annum, and pays the interest at the end of the year ; he lends it out at the rate of 5 per cent, per annum, but receives the interest quarterly, and by this means gains £200 a-year ; how much does he borrow ? 15. A person spends in the 1st year n times the interest of his property ; in the 2nd year 2...
Página 312 - At a siege it was found that a certain length of trench could be dug by the soldiers and navvies in 4 days, but that when only half the navvies were present it required 7 days to dig the same length of trench. What proportion of the work was done by the soldiers?
Página 306 - If A can do as much work in 5 hours as B can do in 6 hours, or as C can do in 9 hours, how long will it take...
Página 176 - ... 60. If a man travel 150 miles in 5 days, when the days are 12 hours long, in how many days of 10 hours each will he travel 500 miles?
Página 174 - If 3(J men perform a piece of work in 20 days ; how many men will accomplish another piece of work 4 times as large in a fifth part of the time ? S0 : 20 : : 1 4 : : 4 Ms.
Página 308 - A person bought a French watch, bearing a duty of 25 per cent. ; and sold it at a loss of 5 per cent. ; had he sold it fcr ¿3 more, he would have cleared I per cent, on his bargain.
Página 210 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 275 - The content of a cistern is the sum of two cubes whose edges are 10 inches and 2 inches, and the area of its base is the difference of two squares whose sides are 1¿ and If feet.

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