8. Compute simple interest on $78,532.16, at 51%, from Feb. 3, 1889, to May 15, 1891. 9. Reduce of of to a simple fraction. 10. Make out a receipted bill for the following articles, sold by Richard Roe to John Doe on May 1, 1891: 25 lb. of butter @ 121 per lb. 12 bbl. of flour @ $4.75 per bbl. per lb. 10 lb. of rice @ 31 per lb. PROPORTION. 1068. A ratio is generally expressed by the sign (:). another form of the division sign (÷). This is 1071. The first and the last term of a proportion constitute the extremes; the second and the third, the means. 5 and 27 are the extremes. read: 5 is to 15 as 9 is to 27. 5:15 ::9:27 15 and 9 are the means. The proportion is 1072. The proportion 3:4::x:y may be written Clearing of fractions, we have 3y = 4x; i.e., the product of the extremes is equal to the product of the means. Solve the following: 1073. Make the product of the extremes equal to the product of the means, after canceling any factor common to an extreme 1. If 9 eggs cost 25, what will 3 dozen cost? 2. If 7 lb. flour cost 23, what will be paid for 49 lb.? 3. For $5 I can get 12 straw hats. How many can I get for $20? 4. A wheel makes 75 revolutions in 5 minutes. does it make in an hour? How many 5. $100 principal gives $6 interest. How much will be the interest of $450 principal? 6. A merchant pays 75¢ freight for 125 lb. of merchandise. How much will be the freight on 1,000 lb. at the same rate? 7. A locomotive goes 3 miles in 4 minutes. How far does it go in an hour? 8. 4 horses can eat a certain quantity of hay in 10 months. How long will it last 20 horses? 9. 12 men can do a piece of work in 15 days. How long will 36 men require? 10. 15 kilos cost 270 francs. What will be the cost of 5 kilos? 1075. Slate Problems. NOTE.-Solve by proportion or in any other way. 1. If 9 cows cost $267, what will be the cost of 36 at the same rate? The ratio of the cost, 267: x, must be the same as the ratio of the number of cows, 9:36. Making the proportion, we have 2. 7 bbl. sugar cost $104.32. Find the cost of 42 bbl. 3. A wheel makes 248 revolutions in 5 minutes. How many does it make in 1 hour 20 minutes? 4. A locomotive goes 1.8 kilometers in 4 minutes. How far does it go in an hour? 5. From 9 kilos (kilogrammes) of yarn are made 42 meters of cloth. How many meters of cloth can be made from 165 kilos of yarn? How many kilos of yarn are needed for 196 meters of cloth? 6. If 17 men receive $357 for a week's work, how much should 24 men receive? 7. If 17 men take 27 days to finish some work, how long would it take 54 men? 17 men take 27 days 54 men take x days 17 or 54 men?: 17 or 54 men? :: 27 days: x days. 8. When a sum of money is divided among 48 persons, each receives $27.50. How much would each receive if the same sum were divided among 16 persons? 9. For $85 I can purchase 238 yards of dress goods. How many yards can I purchase for $5? 10. A can do a piece of work in 6 days, B can do it in 7 days. If B's wages are $2.10 per day, how much should A receive day? per COMMERCIAL DISCOUNT. 1076. Oral. When the list price is $1, what is the net price after the deduction of each of the following discounts? 1077. What single discount is equal to each of the following 1. List price, $250; selling price, $x; rate, 40 and 10%. 2. List price, $800; selling price, $684; rate, x and 5%. 3. List price, $x; selling price, $90; rate, 331 and 10%. 4. List price, $600; selling price, $378; rate, 30 and x% 5. List price, $16; selling price, $x; rate, 30 and 20%. |