y. If the interest of $100 for one year is $5, what would be the interest of $500 for the same time? INTEREST. $5. 4 x = $28. color PRINCIPAL., $100 and and 8. If of a barrel of flour cost $4, what will 4 barrels a cost? Given f barrel and $4. 7 X4 $4 x 3 2 REM. 4ş is a multiplier, and is a divisor; the must be inverted. 9. If 41 bushels of wheat cost $5.40, what will 84 bu. cost? 91 bu.? 2312 313? 471 ? 391 ? 581? 974 ? 1064 ? 10. If 8 bushels of wheat cost $10, what will be the cost of 9j bu. ? 104 bu.? 15% bu. ? 371 bu.? 953 bu. ? 125} bu. ? 1504 bu.? 279 bu. ? 11. If 5% acres of land cost $230, what is the cost of 64 acres ? 7 acres ? 124 acres ? 13 acres ? 17 ? 183? 194? 208 ? 379 ? 491? 12. If 2} acres of land cost $110, what will { of an acre cost? l acre ? | acre? } acre ? $acre ? $acre ? 4 acre? 14 acres ? 1% acres ? 13. If ia of a yard of cloth cost % of a dollar, what will of a yard cost ? Given I yd. and $10 ? 3 14. If 4 yard of cloth cost $2, what will 3 ells F. cost? 2 x = 15. If yard of cloth cost $2.25, what will 5 ells English cost? What will 5 ells French cost ? 2.25 x 1. If 12 bushels of wheat cost $15, what will 42 bushels cost ? Given 12 bushels and $15. 2. If 15 bushels of oats cost $4.50, what will 75 bushels cost? Given 15 bushels and $4.50. $4.50 x H. 3. If 12 bushels of wheat cost $15, how many bushels will $524 buy? Given 12 bushels and $15. and $52.50. = 42 bushels. 2 21 4. If 15 bushels of oats cost $4.50, how many bushels will $22.50 buy? Given 15 bushels and $4.50. Required ? and $22.50. 15 x 5 285 158 = 75 bushels. 5. If a man travel 48 miles in 6 hours, how many miles will he travel in 56 hours at the same rate ? Ans. 448 miles. 6. If 20 bushels of wheat yield 4 barrels of flour, how many bushels will be required for 15 barrels of flour? Ans. 75 barrels. 7. If 20 bushels of wheat yield 4 barrels of flour, how many barrels of flour will 75 bushels yield ? 8. If a man travel 50 miles in 2 days, how long will it take him to perform a journey of 375 miles at the same rate ? 9. If a staff 3 feet long cast a shadow 4 feet, what will be the length of the shadow of a steeple 180 ft. high? a Given 3 ft., staff and 4 ft., shadow. . Shadow of steeple 240 ft. 10. If the interest of $100 for one year is $6, what is the interest of $500 for the same time? Ans. $30. 11. If a man's salary amounts to $1500 in 3 years, how much will it amount to in 7 years ? 12. If 124 bushels of wheat cost $15, what will 353 bushels cost ? 351 X 2 = 71 15 x H 124 x 2 = 25 13. If jy of a barrel of flour cost $6, what will 57 barrels cost? The 5, is a multiplier and the is a divisór. 를 a 14. If 51 bushels of wheat cost $6.60, what will 374 bushels cost ? .20 Ans. $3% 6.60 x x 11 = $44.80. 15. If 4 of an acre of land is worth $36.40, what is the value of 151g acres at the same rate ? 15 3 = 433 $36.40 x x 7 16. If 74 acres of land cost $1560, what will of an acre cost? Ans. $150. 17. The assets of a firm are $48576 and the liabilities a $97648; how much will a creditor receive to whom is owing $1654? 48576 x 1054 = 18. If 11 of a yard cost $7%, what will 6 of a yard cost? 19. If It of a ship cost £49, what is of it worth ? Ans. £32. 20. What will 57 acres 3 rods and 24 perches of land cost, if 5 acres 2 rods and 6 perches cast $224.64 ? Reduce to perches. Ans. $2348.83+. 21. If $1.50 will buy 6 lbs. sugar, how much sugar will $36.50 buy? 22. If 54 yards of cloth cost $7.15, what will 721 yards cost? 87.15 x 14 23. If 43 lbs. ham cost 87 cents, what will 354 lbs. cost ? Ans. $6.79+. 24. If .75 of a ton of hay cost $15, what will 2.25 tons cost? Ans. $45. 25. If 100 acres of land cost $400, what will 830 acres cost? 26. If ☆ of a ship cost $4500, what will it cost? 27. If .25 of an acre of land is worth $32, what is .875 of an acre worth? 28. If 5% yards of muslin cost 46 cents, what will 201 yards cost ? Ans. 162 cents. 29. If 3 yards of cloth cost $15.75, what will 6 ells English cost ? Ans. $39.374. 30. If 5 ells Fl. cost $15.15, what will 6 ells Fr. cost ? In the preceding examples, the ratios were all direct; as in those cases any increase in the required term of the ratio demanded a similar increase of the unknown; but there are cases which require the ratio to be inverted, such as, the more men employed, the less time will be required to perform a piece of work; the more hours employed in the day, the less days; the wider the material, the less yards it will take to make a garment, etc. These cases of inverse ratio are readily detected by asking this question : “Will an increase of the required term of the ratio demand an increase in the unknown term ?" If it does, the ratio is direct; but if an increase in the required term of the ratio demand a diminution of the unknown term, the ratio must be inverted; thus, PROBLEM. If 4 men can do a piece of work in 10 days, how long will it take 8 men to do the same work ? |