LESSON XXVI. PROBLEMS. 1. If 20 men accomplish a certain piece of work in 1 day, how many men will be required to do it in 4 days? how 2. If 48 men use 2 barrels of flour in one week, many men will use the same in 6 weeks? 3. If 75 persons eat 80 loaves of bread in one week, how many persons will it require to use the same in 5 weeks? 4. If 3 yards of cloth are enough for a coat, how many coats can be made from 33 yards? 5. A man traveled 7 miles in one hour; at that rate, how long would it take him to travel 63 miles? 6. For 49 cents how many pounds of sugar can be bought at 7 cents a pound? 7. For 240 cents how many oranges can be bought at 3 cents apiece? At 4 cents? At 6 cents? 8. For 360 cents how many pounds of sugar can he bought at 9 cents a pound? At 6 cents? At 12 cents? 9. If 12 men can build 240 rods of wall in 20 days, how many rods can one man build in the same time? 10. 12 men can build 240 rods of wall in 20 days; how many rods can they build in one day? 11. If 9 men can do a piece of work in 3 days, how long will it take 1 man to do it? FORM.-It will take one man 9 times as long as 9 men to do the work; 9 men can do it in 3 days, therefore 1 man can do it in 9 times 3 days, which are 27 days. 12. If 8 men can do a piece of work in 3 days, how long will it take 1 man to do it? 13. If 3 men can do a piece of work in 5 days, how long will it take 1 man to do it? 14. How long will it take 1 man to do what 9 men can do in 8 days? 15. If 6 men can do a piece of work in 9 days, how many men would be required in order to do it in 1 day? FORM.-To do it in 1 day requires 9 times as many men as to do it in 9 days; to do it in 9 days requires 6 men, therefore to do it in 1 day requires 9 times 6 men, which are 54 men. 16. If 6 men can build a wall in 12 days, how many men will it take to build it in 1 day? 17. If 6 men can build a wall in 12 days, how many days will it take 1 man to build it? . 18. 8 men can earn $30 in 6 days; how many men can earn the same in 1 day? 19. 8 men can earn $30 in 6 days; how many days will it take 1 man to earn it? 20. In 9 weeks 8 persons use a barrel of flour; how long would it last 1 person? 21. In 11 weeks 22 persons use 2 barrels of flour; how long would it last one person? 22. In 11 weeks 22 persons use 2 barrels of flour; how many men would be required to consume it in one week? LESSON XXVII. MENTAL EXERCISES. 31? 1. 124 are how many times 2? 4? 62? and 2 over. 5? 6? 3? 4? 3. 142 are how many times 2? 3? 4? 7? 8? 9? 5. 162 are how many times 2? 3? 4? 5? G? 7? 8? 9? 6. 172 are how 7? 8? 9? many times 2? 3? 4? 5? 6% 7. 182 are how many times 2? 3? 4? 5? 6? 7? 8? 9? 8. 192 are how many times 2? 3? 4? 5? 6? 7? 8? 9? 9. 200 are how many times 2? 3? 4? 5? 6? ? 8? 9? 10. 210 are how many times 2? 3 ? 6? 7? 8? 9? MISCELLANEOUS PROBLEMS. 4? 5? Containing not more than three Elementary Ques tions. 11. A farmer bought a horse for $65, a saddle for 16 dollars, and a bridle for $8; what did he pay for all? 12. A lady paid $200 for a piano, $37 for a sofa, and $20 for an easy chair; what did she pay for all? 13. Julia bought 2 pieces of tape for 20 cents, 2 papers of pins for 26 cents, and a pair of scissors for 50 cents; how much did she pay for all? 14. A farmer has 115 sheep in one lot, 75 in another, and 40 in his barnyard; how many sheep has he? 15. James has 39 nuts in one pocket, and 14 less in another; how many has he in both? ANAL. STEPS.-1. Find how many nuts in the second pocket. FORM.—If James has 14 nuts less in the second pocket than in the first, he must have in the second pocket the difference between 39 nuts and 14 nuts, which is 25 nuts. 2. Find how many nuts in both. If James has 39 nuts in one pocket and 25 nuts in another, he must have in both the sum of 39 nuts and 25 nuts, which is 64 nuts. 16. A man bought 40 sheep of three farmers: he bought 9 of the first, and 13 of the second; how many did he buy of the third? 17. A grocer had a tub of butter containing 48 pounds; he sold 13 pounds to Mr. Jacob Wilson, and 15 pounds to John Huntsman; how many pounds were left? 18. Mr. Squib paid $25 for a cow, and for a horse $56 more than he paid for the cow; how much did he pay for both? 19. What is the difference between the cost of 6 pieces of tape at 4 cents a piece, and of 4 yards of ribbon at 6 cents a yard? ANAL. STEP.-1.* Find cost of the tape. 20. How many cents must a boy have, to buy 18 apples at 3 cents apiece, and 14 cakes at 2 cents apiece? 21. I bought 6 barrels of pork at eleven dollars a barrel, and sold it for $89; how much did I gain? 22. What is the cost of 13 sticks of candy at 2 cents apiece, and four pounds of raisins at 15 cents a pound? 23. If 3 dresses of 9 yards each are cut from 46 yards of calico, how many yards will be left? 24. A man started from home and traveled 5 miles an hour for 13 hours, and then set out to return, at the rate of 6 miles per hour; how far was he from home, after having traveled, 19 hours? 25. Henry and John started together, and traveled in the same direction. Henry walked 3 miles an hour, and John 4 miles an hour; how far apart were they at the end of 9 hours? 26. Robert and Joseph started together from home, and traveled in the same direction; Robert traveled 2 miles an hour, and Joseph 4 miles an hour: how far were they apart at the end of 36 hours? it * NOTE-Require the formula for each step until perfectly familiar, when may be omitted. |