43. A public school pays its principal $1800 per annum; 2 assistant principals $800 each; 6 medium teachers $600 each; and 8 primary teachers $500 each. What is the cost of instruction? Ans. $11000. 44. 2500 + (3 × 500) + (5 × 700) + (6 × 200) Ans. 8700. 45. If a mechanic receives $1400 a year for his labor, and his expenses are $840, in what time can he save enough to buy 32 acres of land at $140 an acre? Ans. 8 years. 46. (280 × 64) (2504 1384) = ? Ans. 16. 47. A's age is 35, and B's 27 years. of their ages? OPERATION.-(35 years + 27 years) ÷ 2 = What is the average 31 years. The average of two numbers is one-half their sum; the average of three numbers, one-third their sum, &c. 48. Find the average of 2, 4, and 6. Ans. 4. 49. Find the average of 3, 5, and 10. Ans. 6. Ans. 9. 50. Find the average of 6, 10, and 11. 51. Five men are worth, respectively, $3000, $12000, $56000, $20000, and $35000. What are they worth on the average ? Ans. $25200. 52. A boy's earnings per month were as follows: $12, $10, $15, $13, $16, $18, $14, $8, $20, $17, $15, and $10. What were his average earnings per month that year? Ans. $14. 53. Farmer A's expenses and receipts one year were as follows: Did he make or lose that year, and how much? Ans. Lost $694. 54. Farmer B's expenses and receipts one year were as Did he make or lose that year, and how much? Ans. Made $194. 55. Farmer C's expenses and receipts one year were as Did he gain or lose money, and how much? Ans. Gained $3969. 56. The sum of two numbers is 72, and their difference 7246118. 118 2 59, Greater No. 59-46= 13, Less No. EXPLANATION. Since 72 is the sum of the numbers, if the difference 46 is subtracted from the sum 72, the remainder 26 will be twice the less number. 26 ÷ 2 = 13, the less number, and 59, the greater number. 13 + 46 = 57. The sum of two numbers is 1196, and their difference Ans. Greater, 850; Less, 346. 58. The sum of two numbers is 8356, and their difference is 1792. What are the numbers? Ans. Greater, 5074; Less, 3282. 59. A man paid $4200 for a house and lot, the lot being valued at $1950 more than the house. What was the value of each ? Ans. Lot, $3075; House, $1125. 60. Two men are worth $43875, and one is worth $2965 more than the other. What is each man worth? Ans. 1st man, $23420; 2d, $20455. The pupils will make original examples to illustrate the following problems: 61. Given the sum and all the parts but one, to finl that one. 62. Given the greater of two numbers and their difference, to find the less. 63. Given the product and two of three factors, to find the other factor. 64. Given the product and multiplier, to find the multiplicand. 65. Given the divisor, quotient, and remainder, to find the dividend. 66. Given the sum and difference of two numbers, to find the numbers. 67. Given the divisor and quotient, to find the dividend. 68. Given the product and one of two factors, to find the other factor. 69. The pupils will make two original examples in each of the fundamental rules. |