New School Algebra

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. 1898 Excerpt: ...the average cost of a cow and of a sheep. 42. It is 40 miles from Dover to Portland. A sets out from Dover, and B from Portland, at 7 o'clock A.m., to meet each other. A walks at the rate of 3 miles an hour, but stops 1 hour on the way; B walks at the rate of 2 miles an hour. At what time of day and how far from Portland will they meet? 43. A number is expressed by three digits. The sum of the digits is 21; the sum of the first and second exceeds the third by 3; and if 198 is added to the number, the digits in the units' and hundreds' places will be interchanged. Find the number. 44. If the length of a rectangular field is increased by 5 yards and its breadth by 10 yards, its area is increased by 450 square yards; but if its length is increased by 5 yards ana its. breadth diminished by 10 yards, its area is diminished by 350 square yards. Find its dimensions. 45. If the floor of a certain hall had been 2 feet longer and 4 feet wider, it would have contained 528 square feet more; but if the length and width were each 2 feet less, it would contain 316 square feet less. Find its dimensions. 46. If the length of a rectangle was 4 feet less and the width 3 feet more, the figure would be a square of the same area as the given rectangle. Find the dimensions of the rectangle. 47. If a certain number is divided by the sum of its two digits diminished by 2, the quotient is 5 and the remainder 1; if the digits are interchanged, and the resulting number is divided by the sum of the digits increased by 2, the quotient is 5 and the remainder 8. Find the number. 48. A person has a certain capital invested at a certain rate per cent. Another person has $2000 more capital invested at one per cent better than the first, and receives $150 more income. A third person has...