44 PROBLEMS-SUBSCRIPTIONS Written. A subscription agency offers the following sets of magazines at the prices quoted: McClure's and Leslie's Popular Monthly and Munsey's McClure's and Leslies's Popular Monthly and Cosmopolitan McClure's and Munsey's and Cosmopolitan 2.65 2.65 2.65 2.25 2.25 2.10 1.80 1.85 1.45 1.30 2.55 McClure's and Leslie's Popular Monthly and Ainslee's McClure's and Munsey's and Ainslee's McClure's and Ainslee's and Pearson's McClure's and Cosmopolitan McClure's and Munsey's McClure's and Ainslee's McClure's and Ledger Monthly McClure's and Youth's Companion 1. If the regular subscription price of McClure's and Leslie's magazines is $1 each per year, how much is saved in a year by accepting the offer of the agency? 2. If the regular price of Scribner's is $3, how much is saved by accepting the second offer of the agency? 3. Answer the same question for the third, fourth, and fifth offers, taking the regular price of Harper's as $4, of the Century as $4, and of Munsey's as $1. 4. Make and solve 10 other problems, taking the regular price of the Cosmopolitan as $1, of Ainslee's as $1.50, of Pearson's as $1, of the Ledger monthly as $1, and of the Youth's Companion as $1.75. 5. What is gained per dollar over the regular price by accepting the agency's offer on the first four sets? 6. If the agency reduces the present offer on all orders of $10 or over, what would be the total gain over the regular price in purchasing the first four sets? 7. What is the gain per dollar of the regular price in the fifth of the above offers? In the eleventh? 8. If convenient, bring similar advertisements and make and solve problems about them. Oral. PROBLEMS-REVIEW 45 1. How many eighths are there in 2 wholes? In 7? In 9? In 10? In 25? In 100? 2. Express in eighths: 3; 6; 7; 8; 3. How many sevenths are there in 10? In 7? In 12? In 9? In 1? 25; 40; 50. In 3? In 11? = ?); 12 = (x = ?); 8 = 1, (x = ?). 100' 5. 15 = 2, (x = ?); α 6. 12= (a = ?); 8 = 4, (a = ?); 10' a 5 8. A gardener in putting pk. of ground bone about each of his rose-bushes used 8 pk.; how many rose-bushes had he? 9. For one dinner of a certain army 4,000 lb. of beef were required; allowing of a pound for each man, how many men were there in the army? 10. A certain hotel provided 20 bu. of potatoes for one day's dinner on the basis of bu. per guest; how many guests were there in the hotel? II. How many thirds of a yard are there in a yard? How many whole yards in 12 thirds of a yard? 12. How many whole pounds are forty tenths of a pound? 13. If of a pound of butter costs 154, what is the price of of a pound? Of a whole pound? 3 14. If of wheat bread is water, how much water is there in 100 one-pound loaves? 15. If .6 by weight of round steak is water, how much water is there in 10 lb. of steak? 46 PROBLEMS-REVIEW 1. What is meant by drawing to a scale? 2. If in. in a drawing represents 30 miles, how many miles do 3 in. represent? 3. In the picture of the New Haven Public Square, in. represents 100 ft. Find the length of a side of the square. 4. Find its area in square yards. 5. Measure Yale College grounds in the same way and find their area. 6. How many fence posts 3 yards apart must a railroad company furnish for a fence 2 miles long? 7. What is the cost of 25 street-car tickets at $.04 each? At $.05 each? What is the difference in cost? 8. Mr. Perkins sent a money-order in payment for a set of books which cost $9.25; what did the money-order cost him? 9. If 100 lb. of sugar cost $6, what is the cost of 1 lb. ? Of 20 lb.? Of 50 lb.? 10. Express decimally, then as whole numbers and fractions: 125 and 1 hundredth. 16 and 5 hundredths. 17 and 25 hundredths. 11. Make problems for the 100 yd. of silk cost $140. 100 yd. of ribbon cost $25. 36 and 3 hundredths. 28 and 39 hundredths. 25 and fifteen hundredths. following: of a ton of coal costs $3.50. of a pound of tea costs $.60. Written. PROBLEMS-REVIEW 47 1. If .04 of any quantity of milk is cream, how many quarts of cream are there in 250 qt. of milk? In 360 qt.? In 482 qt.? Express decimally the results. 2. The three sides of a triangle are each 7 ft. Exτου press decimally the lengths of the sides and find the perimeter of the figure. 3. Mr. Adams owned a lot with a frontage of 107.25 ft. He bought two other lots adjacent to it, having frontages of 20 yd. and 60 ft. respectively. How many feet frontage did his three lots have? 4. A lot cost $175. The house on it cost 12.35 times as much. Find the cost of the house. 5. John had 20 marbles and William had .7 as many; how many had William? 6. 12×12×12=? How many cubic inches are there in a cubic foot? 7. A cubic inch of mercury weighs about .49 lb. Find the weight of a cubic foot of mercury. 8. In 1900 about 14,200 persons were engaged in the glove industry in the United States. Of this number .31 were men, .67 women, and .02 were children. Find the number of each. Test your work by adding the results and comparing with the total number as given. 9. Express in inches: 1 yd.; 4 yd.; .07 yd.; 5 yd. 10. Express in quarts: 12. The Place of Concord in Paris is 217 meters by 357 meters. Find its area in square meters. FRACTIONS AND FORM STUDY Addition and Subtraction 1. How many are 3 pages and 4 pages? 3 fifths and 4 fifths? 2. What is the sum of 3 qt. and 8 qt.? Of 3 fifths and 8 fifths? 15. A man spent of his money for shoes and for books; what part of his money did he spend for both? 16. Two adjacent sides of a parallelogram are of a ft. and 4 of a ft.; what is its perimeter? 17. A man set out on a journey; he walked 3 of the way, rode on the electric car, and on the steam railway; what part of his journey had he then accomplished? How may these fractions be expressed more easily in writing? 18. How many are twelve books less four books? 19. How many are twelve sevenths less four sevenths? 20. How many are 12 hundredths less 4 hundredths? Subtract: 26 21. 13 22. 1 23. 18 24. 18 25. 100 8 7 18 тво 26. How may the fractions of Exercises 24 and 25 be expressed more easily in writing? |