47. 1 day is what part of a month? 40. 5 months are what part of a year? 50. The interest of $100 for 1 year is $7; what is it for 24 months? of what number? 12. of 4 is of what number? 13. A man bought a barrel of flour, for $61; finding it damaged, after using of it, he returned the remainder; what should he pay for what he used? 14. In a school, of the pupils are studying arithmetic; of those studying arithmetic are studying geography; of those studying geography are studying book-keeping; what part of the pupils are studying book-keeping? 15. A painter had § of a keg of white lead, worth $2 a keg; he used of what he had; what part of the keg did he use; and what was its value? 16. The hour-hand of a clock moves over 5 minute spaces in one hour; how many will it move over in 74 hours? 17. Two boys, 55 miles apart, are traveling toward each other: one travels at the rate of 9 miles an hour; and the other at the rate of 6 miles an hour; how long before they will meet? 18. A little girl had $3 in her savings bark; if she saved of a dollar each week, how many weeks had she been saving her money? 19. Two men are 15 miles apart and are traveling in the same direction: the hindmost trave 10 times as fast as the other: how far must he travel before overtaking the other? 20. If $125 will pay for 25 weeks board for 1 person, how long will it board 12 persons? 21. If a line 20 feet in length is divided into equal parts by 10 knots, what is the length of each, part? FORM.-If there are ten points of division there must be eleven parts, each of which is of 20 feet, which is 2=1 feet. 22. A man has ten pins, with which he is to measure off 20 ft., and divide it into equal parts. What will be the length of each interval? FORM.-Since 2 of the pins are used to mark the distance of 20 ft. there can be but 8 points of division and 9 intervals; therefore each part will be of 20 feet, which is 23 ft. 23. 12 balls were fired from a cannon in 40 minutes, at equal intervals of time; how many minutes between the discharges? 24. How many ornaments are required on the cornice on the front of a house 22 ft. long, the centre of each ornament to be 3 ft. distance from each other, and the first and last to be ft. from the corner? 25. What must be the intervals between the centres of 8 ornaments on the cornice on the front of a house 30 ft. long, if the first and last are to be placed 3 ft. 3 in. from the corner? 26. A merchant wished to place 20 stools for the use of his customers at equal intervals along his counter; the distance from the first to the last is 71 feet; how far apart are the centres ? 27. A starts from a place 12 miles behind B, but A travels at the rate of 12 miles an hour, while B travels only 1 mile; in how many hours will A overtake B? How far must A travel before he overtakes *B? How far will B travel before A overtakes him? 28. The hour and minute hands of a clock are exactly together at 12 o'clock, when will will they be together again? PERCENTAGE. LESSON LXIII. 56. Per cent. signifies by the hundred; therefore 3 pounds gain on 100 pounds is said to be a gain of 3 per cent., or of 3 hundredths of a pound on 1 pound. A loss of 5 hundredths of a gallon is said to be a loss of 5 per cent. The words per cent. are usually represented by the following character (%) thus, 3% is read 3 per cent. 1. If 3 per cent. of $1 is 3 hundredths of a dollar, what is 3% of $40. FORM.-Since 3 per cent. of $1 is 3 hundredths of a dollar, 3 per cent. of $40 is 40 times 3 hundredths, which is 120 hundredths, equal to $1.20. 2. 46 hundredths of a dollar equal what? ANs. 46 cents. 3. 260 hundredths of a dollar equal what? ANS. $2.60. 8. $2 what? $130 =what? 100 5. $ what? 9. $200 24 7. $34 = what? 11. $180 =what? what? =what? 16. What is 2% of $5? 15. $188 ANS.-$10-10 cts. 17. What is 3% of $16? Of $11? Of $13? Of $17? 18. What is 5% of $12? Of $17? Of $200 ? Of $1? 19. What is 12% of $3? Of $1? Of $1? Of $}? 20. What is 7% of 40 pounds of sugar? FORM.-Since 7% of 1 pound is 7 hundredths, 7% of 40 lb. is 40 times 7 hundredths, which is 280 hundredths of a pound, equal to 230-21 lb. 21. What is 5% of 3 ounces of indigo? 22. What is 11% of 30 yd. of cloth? 23. 25% is what part of a number? 30%? 10%? 50% 75% 20%? 331%? 121%? FORM.-25% is 25 equal to of the number. 24. What is 8% of 28 yards of cloth ? 25. What is 3% of 333 pounds of sugar? |