4 6 Ans. 21'16 16 1041. In practice, the work is shortened by omitting the ciphers. First, point off in periods of two figures, commencing at the right. Find the greatest square in the first period, and place the root in the quotient. Subtract the square from the first period. Bring down the next period. Multiply the first quotient figure by 2, and use it as a trial divisor. Place the second figure in the quotient. Affix it also to the trial divisor. Multiply the two figures in the trial divisor by the second quotient figure. 1042. Slate Exercises. 86) 516 516 1044. An Invoice (English). Invoice of 3 bales Linen Goods forwarded by rail to Glasgow, for shipment thence per S.S. Anchoria to New York, to order, and for account and risk of Messrs. Robinson & Co. 1. Find the duty in U. S. money at 50% ad valorem. £= $4.8665. 2. What is the cost in English money of crockery amounting to £166 13s. 4d. less a discount of 5 and 5%? RATIO. 1045. Ratio is the relation which one number has to another of the same kind. 1046. The first term of the ratio is called the antecedent; the second, the consequent. The ratio of 3 to 6, $9 to $18, 15 cows to 30 cows may be expressed, 1, 15. They are each equal to . 1. One line is a rod long, another is 5 ft. long. What is the ratio of the first to the second? 2. What is the ratio of 7 hours to 1 day? 3. A pound of coffee costs 30, of sugar 6. What is the ratio of their respective prices? 4. A walks in 4 hours as far as B in 5. What is the ratio of A's speed to B's? 5. E earns in 6 days as much as D earns in 8 days. Find the ratio of E's daily earnings to D's. 6. One wheel makes 300 revolutions in 2 minutes, the second requires only 1 minutes to make the same number. Find the ratio of the number of revolutions made by the first wheel in 1 minute to the number made by the second wheel in the same time. 7. A circle whose diameter is 1 ft. has a circumference of 34 ft. What is the ratio of the diameter to the circumference? 8. One train goes 40 miles an hour, a second goes 45 miles an hour. What is the ratio of the speed of the first to that of the second? 9. A window is 6 ft. 4 in. high by 4 ft. 2 in. wide. What is the ratio of the height to the width? 10. A father is 36 years old, his son is 9. What was the ratio 6 years ago of the father's age to that of the son? 1050. Slate Problems. (Be sure your answer is correct.) 1. One line is 3 rods 4 yards long, the length of another is 5 rods 1 ft. Find the ratio of the first to the second. 2. One candle lasts 4 hours 20 minutes, another lasts 3 hours 15 minutes. Find the ratio of the first to the second. 3. A pound of coffee costs 253; 1 lb. of sugar costs 5. What is the ratio of price of sugar to that of coffee? 4. M walks in 1 hour 47 min. as far as N walks in 2 hours 3 minutes. What is the ratio of M's speed to N's? 5. P earns in 199 days as much as Q in 18 days. What is the ratio of Q's daily earnings to P's? Of P's to Q's? 6. One wheel makes 600 revolutions in 84 seconds; a second makes 300 revolutions in 3 seconds. What is the ratio of the speed of the first wheel to that of the second? 7. The circumference of a circle is 12.5664 ft., and its radius is 2 ft. What is the ratio of the diameter to the circumference? 8. One train goes 40 miles in 50 minutes, another goes 24 miles in a half hour. What is the ratio of the speed of the second to that of the first? 9. One window is 6 ft. 8 in. × 4 ft. 2 in.; a second is 4 ft. 8 in. x 2 ft. 1 in. What is the ratio of the area of the second to that of the first? 10. A mother is now 35 years old, and her son is 3 years and 6 months old. Fourteen months ago, what was the ratio of the mother's age to that of her son? 11. A farm costing $4,750 was sold for $5,750. What is the ratio between the profit and the cost? 12. A man can do a piece of work in 44 days. What part of it can he do in a day and a half? What decimal? What per cent? 13. What is the ratio between a ton of 2,000 pounds and one of 2,240 pounds? |