3. If no remainder occurs when dividing by the last divisor, the first remainder, if any, is the true remainder. Questions. When the divisor is more than 12, but is the exact product of any two figures multiplied together how will you proceed? If remainders occur when dividing by both divisors, how will you obtain the true remainder? If no remainder occurs when dividing by the last divisor, and one occurred when dividing by the first divisor, is that the true remainder? Examples. 58. What is the product of 976 divided by 56? 7 times 8 are 56. 7)976 8)139+3 1st remainder. 17+3 2d remainder. 7 21 3 1st remainder. 24 true remainder. 59. What is the product of 2796 divided by 81? 60. What is the product of 875 divided by 25? 69. Twenty-five sailors receive 3775 dollars for prize money, how much is that for each man? Ans. 151. 70. Ninety-six soldiers are to have 480 pounds of beef divided equally amongst them, what is the share of each soldier? Ans. 5 pounds. 71. One hundred and forty-four men have to pay equal shares of a debt which amounts to 14400 dollars, how much must each man advance to make up the sum? Ans. 100. 72. Supposing 1800 apple trees to be planted in 72 rows, how many trees are there in each row? Ans. 25. 73. The annual rent of a farm which contains 132 acres is 396 dollars, how much is that per acre? Ans. 3 dols. EXAMPLES Introduced to exercise the learner in the promiscuous use of Addition, Multiplication, Subtraction, and Division. 1. A farmer who has 50 sheep, buys from his neighbour 50 more, he then sells 25 to the butcher, how many has he left? Ans. 75, 2. John had forty apples he gave his brother 10, kept 10 for himself and divided the remainder equally between his two sisters, how many had they a piece?. Ans. 10. 3. A gentleman dying left his estate which amounted to 25000 dollars to his son and two daughters, as follows, to his son he gave 13000 dollars, and to his two daughters the remainder, to be equally divided between them, how much a piece had the daughters? Ans. 6000 dollars. 4. A merchant bought 8200 barrels of flour, he then sold 3756 barrels, he then bought 5000 barrels, after which he sold 4879 barrels, how many barrels of flour has he still on hand? Ans. 5. A man who sets out on a journey intends to travel 2450 miles, how far must he go every day to perform the journey in 50 days? Ans. 49 miles. 6. A grocer bought 24 bags of coffee containing 3000 pounds, and sells 15 bags containing 1736 pounds, how many bags, and how many pounds has he remaining? Ans. 9 bags, 1274 pounds. 7. Supposing a man to receive in a year 2920 dollars, how much a day is his income at that rate, and supposing that his expenses for the whole year amount to 1769 dollars, how much will he save in a year? Ans. His income will be 8 dollars a day, and |