A Short Course in Higher Algebra; For Academies, High Schools, and Colleges (Paperback)

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. 1889 Excerpt: ... garden is 15,000 square feet, and of the walk 3696 square feet. Find the length and breadth of the garden. 11. A rectangular field contains 160 square rods. If its length be increased by 4 rods, and its breadth by 3 rods, its area is increased by 100 square rods. Find the length and breadth of the field. 12. A man rows down stream 12 miles in 4 hours less time than it takes him to return. Should he row at twice his ordinary rate, his rate down stream would be 10 miles an hour. Find his rate in still water, and the rate of the stream. 13. A and B bought a farm of 104 acres, for which they paid $320 each. On dividing the land, A said to B, "If you will let me have my portion in the situation which I shall choose, you shall have so much more land than I, that mine shall cost $3 an acre more than yours." B accepted the proposal. How much did each have, and at what price per acre? 14. If the product of two numbers be added to their sum, the result is 47; and the sum of their squares exceeds their sum by 62. Find the numbers. Note. Let the numbers be represented by x + y and x--y. 15. The sum of two numbers is 7, and the sum of their fourth powers is 641. Required the numbers. 16. The fore-wheel of a carriage makes 15 more revolutions than the hind-wheel in going 180 yards; but if the circumference of each wheel were increased by 3 feet, the fore-wheel would make only 9 more revolutions than the hind-wheel in the same distance. Find the circumference of each wheel. 17. A man has $ 1300, which he divides into two portions, and loans at different rates of interest, so that the two portions produce equal returns. If the first portion had been loaned at the second rate, it would have produced $36; and if the second portion had been loaned at the first rate...