pastures 2 horses and 4 cows for 3 weeks, and B pastures 3 horses and 2 cows for 2 weeks; how many dollars shall each pay! ? 4. A, B, and C traded in company. A put in $2 as often as B put in $3, and as often as C put in $5. B's money was in twice as long as C's, and A's twice as long as B's. They gained $38; what was each one's share of the gain? 5. A and B trade in company. A puts in $10 for 2 months, and B puts in $9 for 3 months. They lose $94; what is the loss of each? 6. A and B cut a field of grain for $42. A works 12 days, and B works 6 days. What sum should each receive, if B can do as much in 2 days as A can do in 3 days? How much does A earn per day? How much B? 7. Two men, A and B, agree to do a piece of work for $88. A employs 3 men 4 days, and B employs 5 men 2 days; what part of the pay shall each have? How many dollars? 8. A man divided $40. between his 4 sons and 3 daughters, giving each son as much as each daughter; what was the share of each? 9. Divide 15 peaches between B and C, so that B may have 3 peaches more than C. 10. The sum of 2 numbers is 21, and the greater exceeds the less by 5; what are the numbers? 11. A and B together have 40 cents, and A has 10 cents less than B; how many cents has each ? 12. David bought twice as many pears as John, and after David had eaten 6 and John 4, they together had 26; how many pears had each remaining? 13. If 2 melons are worth 12 oranges, and 8 oranges are worth 24 apples, how many apples shall I give for 3 melons? 14. If 2 oxen are worth 3 cows, and 4 cows are worth 24 sheep, what is 1 ox worth, supposing a sheep to be worth $7? 15. A hare is 7 of his own leaps before a hound, and takes 5 leaps while the hound takes 3, but 4 of the hound's leaps are equal to 7 of the hare's; how many leaps must the hound take to gain on the hare the length of one of the hare's leaps? How many leaps must the hound take to catch the hare? Solution. Since 1 of the hound's leaps is of a leap of the hare, 3 of the hound's leaps are equal to 24, or 5 of the hare's leaps; hence, in taking 3 leaps the hound gains of one leap of the hare, and therefore he must take 4 times 3 leaps, or 12 leaps, to gain 1 leap of the hare; and to gain 7 leaps, he must take 7 times 12 leaps, or 84 leaps. 16. Charlie is 10 of his own steps before John, and takes 6 steps while John takes 5, but 3 of John's steps are equal to 4 of Charlie's; how many steps must John take to gain the length of one of Charlie's steps? How many steps can Charlie take before John will catch him? 17. A lady wishing to buy a certain number of yards of silk for a dress, finds that if she pays a dollar a yard she will have 5 dollars left; but if she pays a dollar and a half per yard, she must get trusted for 2 dollars.; how many yards does she wish to buy? 18. A man and his wife would eat a sack of flour in 15 days, and after living together for 6 days the woman alone would consume the remainder in 24 days; how many days would the whole sack last the woman? How many days the man? 19. A boy being asked how many hens he had, said that if he had half as many more and four hens and a half, he should have 3 dozen; how many hens had he? 20. A farmer, questioned with regard to the number of his sheep, said that if he had as many more, half as many more, and 2 sheep and a half, he should have 100; how many had he? 21. A boy engaged to live with a man 30 days, agree ing to receive 3 shillings a day for every day he worked, and to pay 2 shillings a day for his board every day he played. At the end of the 30 days he received 60 shillings; how many days did he work? 22. A fish's head weighs 5 pounds, his tail weighs as much as his head added to half the weight of his body, and his body weighs as much as his head and tail together; what is the weight of the fish? 23. A and B start from towns which are 48 miles apart, and travel toward each other until they meet, when it appears that of the distance A has traveled is equal to of the distance B has traveled; how far has each traveled? 24. A purse and its contents are worth 41 shillings, and 3 of the value of the purse are equal to of the value of the contents; what is the value of the purse? 25. Seven times a certain number is 15 more than 4 times the same number; what is the number; 26. What number is that to which if its half and its fourth be added, the sum will be 35 ? 27. What sum of money can I obtain at a bank for a note of $36, payable in 90 days? 28. If a 5 cent loaf weighs 24 ounces when flour is worth $6 per barrel, what ought it to weigh when flour is worth $9 per barrel? 29. A man failing in business, is able to pay only 80 per cent, of his debts; how much will he pay on a debt of $30? 30. Bought 8 lb. of honey at one time, 3 lb. at another time, 101 lb. at another, and 613 lb. at another; how many pounds did I buy at the four times? 31. A, B, and C can do a certain piece of work in 4 days. A can do of it in 1 day, and B can do 1 of it in 1 day; in how many days can C do the whole work? 32. A gentleman being asked the time of day, replied that of the time past from noon was equal to of the time to come before midnight; what was the time? 1234 8 10 11 12 Twice 1 1 are 2 2 33 4 4 5 5 66 7 7 88 9 9 10 10 11 11 12 12 7 14 2 21 3 28 4 35 5 42 6 49 7 56 8 63 9 70 10 77 11 84 12 2' 1 are 4 2 3 times 4 times 63 84 10 5 12 6 14 7 16 8 18 9 20 10 8 times 1 are 8 22.11 24.12 16 2 24 3 32 4 40 5 48 6 56 7 64 8 72 9 80 10 88 11 96 12 5 times 31 are 4 1 are 5 6 2 82 93 12 3 12 4 16 4 15 5 20 5 18 6 24 6 21 7 28 7 24 8 32 8 27 9 36 9 30 10 40 10 33 11 44 11 36 12 48 12 9 times 10 times 11 times 12 times 1 are 1 are 10 1 are 11 1 are 12 20 2 22 2 24 30 3 33 3 36 40 4 44 4 48 50 5 55 5 60 60 6 66 6 70 7 80 8 90 9 100 10 110 11 120 12 42 3 56 4 70 5 84 6 98 7 112 126 9 140 10 154 11 168 12 18 2 27 3 36 4 45 5 54 6 63 7 72 8 81 9 90 10 99 11 108 12 13 times 14 times 15 times 16 times 17 times 18 times 1 are 13 1 are 14 1 are 15 1 are 16 1 are 17 1 are 18 26 2 28' 2 30 2 32 2 34 2 36 39 3 48 3 51 3 54 52 4 64 4 68 4 72 65 5 80 5 85 5 90 78 6 96 6 102 6 108 91 7 119 7 126 104 8 136 8 144 117 9 153 9 162 130 10 170 10 180 143 11 187 11 198 156 12 204 12 216 45 3 60 4 75 5 90 6 105 7 120 8 135 9 150 10 165 11 180 12 6 times 1 are 6 12 18 24 30 36 42 48 54 60 66 72 112 7 128 8 10 2 15 3 20 4 25 5 30 6 35 7 40 8 45 9 50 10 55 1 60 12 144 160 10 176 11 192 77 7 88 8 99 9 110 10 121 11 132 12 81 96 108 120 132 •144 23456789 19 times 20 times 21 times 22 times 23 times 24 times 1 are 19 1 are 20 1 are 21 1 are 22 1 are 23 40 2 60 3 63 3 66 3 69 3 80 4 84 4 88 4 92 4 100 5 105 5 115 5 120 6 126 6 138 6 147 7 161 7 168 8 181 8 189 9 207 9 210 10 230 10 231 11 253 11 252 12 276 12 38 2 57 3 76 4 95 5 114 6 133 7 152 8 171 10 190 10 11 209 11 12 228 12 260 20 273 21 286 22 299 23 312 24 140 7 160 8 180 9 200 10 220 11 240 12 280 20 294 21 308 22 322 23 .336 24 13 times 14 times 15 times 16 times 17 times 18 times 13 are 169 13 are 182 13 are 195 13 are 208 13 are 221 13 are 234 14 182114 196 14 210 14 224 14 238 14 252 15 195 15 210 15 225 15 240 15 255 15 16 208 16 224 16 240 16 256 16 272 16 17 221 17 238 17 255 17 272 17 289 17 18 234 18 252 18 270 18 288 18 306 18 19 247 19 266 19 285 19 304 19 323 19 20 300 20 320 20 340 20 21 315 21 336 21 357 21 22 330 22 352 22 374 22 23 345 23 368 23 391 23 124 360 24 381 24 408 24 380 19 400 20 420 21 440 22 460 23 480 24 110 5 132 6 154 7 176 8 198 9 220 10 242 11 264 12 399 19 420 20 441 21 462 22 483 23 504 24 1 are 24 48 19 times 20 times 21 times 22 times 23 times 24 times 13 are 247 13 are 260 13 are 273 14 266 14 280 14 13 are 286 13 are 299 13 are 312 294 14 308 14 322 14 336 15 285 15 300 15 315 15 330 15 360 16 304 16 320 16 336 16 352 16 384 17 323 17 340 17 357 17 374 17 408 18 342 18 360 18 378 18 396 18 432 19 361 19 418 19 456 20 380 20 440 20 480 21 399 21 462 21 504 22 418 22 484 22 528 23 437 23 552 506 23 24 456 24 576 72 96 120 144 168 192 216 240 264 288 345 15 368 16 391 17 414 18 437 19 460 20 483 21 506 22 529 23 552 24 270 288 306 324 342 360 378 396 414 432 |