Elementary arithmetic. [With] Answers, Book 1

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Page 110 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Page 84 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Page 20 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.
Page 32 - Common Measure of two or more numbers, is a number which will divide each of them without a remainder.
Page 88 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 34 - The Least Common Multiple of two or more numbers is the least number which is a multiple of each of them; thus, 12 is the least common multiple of 2, 3, and 4.
Page 90 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.
Page 128 - To find the time, when the principal, interest, and rate are given. ILLUSTRATIVE EXAMPLE. At ±% per annum, in what time will $315 produce $20.79 interest? SOLUTION. $ 315, int. for 9 da. @ k%. EXPLANATION. — The ordinary interest of 035, '" " I
Page 145 - In how long a time will $60 gain $6.30, at 7 per cent, interest? 14. How much water must be mixed with 10 gallons of brandy, worth $8 a gallon, that the mixture may be worth only $ 7 a gallon ? 15. A and B set out to travel round a certain island which is 20 miles in circuit ; A travels at the rate of 5 miles an hour, and B 7 miles an hour ; how long will it take B to overtake A ? 16.
Page 150 - ... pounds ? 36. Gunpowder is composed of 76 parts of nitre, 14 of charcoal, and 10 of sulphur : how much of each of these ingredients will it take to make a ton of powder ? 37. If 40.12 Ibs. of sugar are worth $5.13, how much can be bought for $125.375 ? 38. The Vice-President's salary is $5000 a year : if his daily expenses are $10, how much can he lay up ? 39. If f Ib. of snuff cost £ft, what will 150 Ibs.

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