LESSON LII. 1. Add 38 and 46 together.* NOTE. 38 is 3 tens and 8; 46 is 4 tens and 6; 38 and 46 is then 3 tens and 4 tens, or 7 tens, and 8 and 6, or 14; 14 is 1 ten and 4; 38 and 46 is then 7 tens and 1 ten and 4, or 8 tens and 4, that is 84. 2. What is the sum of 23 and 25 ? 29 and 33? 3. What is the amount of 57 and 34? 76 and 18? 4. How many are 37 and 39? 5. How many are 51 and 27? 6. How many are 68 and 54? NOTE. 6 tens and 5 tens are 11 tens; ten and 4; 11 tens and 1 ten and 4 are 12 7. How many are 66 and 67 ? 8. How many are 93 and 14? 62 and 28 ? 10 and 4 are 14, or 1 58 and 45? 9. How many are 83 and 36 and 68? 10. How many are 95 and 21 and 70? 11. How many are 54 and 13 and 28? 12. How many are 84 and 74 and 21? 13. How many are 13 and 63 and 45? 14. How many are 108 and 22 and 36 15. How many are 53 and 63 and 75? 16. How many are 28 and 31 and 64? 17. How many are 91 and 26 and 67? 18. How many are 34 and 45 and 77? 19. How many are 105 and 28 and 43? 20. How many are 185 and 36 and 22? 21. How many are 47, 38, 75 and 22? 22. How many are 54, 68, 36 and 25? 23. How many are 112, 27, 39 and 78? * ADDITION is the process of collecting two or more numbers into one sum. The result is called the amount. 24. How many are 36, 25, 34 and 126? LESSON LIII. 1. Add 7, 19, 20, 3, 4, 6, 8, 17 and 22. 4. 5. Add 13, 45, 61, 28, 45, 18, 36 and 63. Add 1, 4, 6, 11, 21, 31 and 8. 6. 7. Add 6, 25, 50, 1, 38, 16, 11 and 41. 8. Add 7, 40, 9, 3, 8, 21 and 19. 9. Add 5, 57, 43, 21, 6, 8 and 14. 10. 11. Add 6, 42, 11, 56, 25, 50, 1, 20, 50 and 13. Add 7, 13, 16, 23, 25, 41, 38 and 27. 12. Add 16, 93, 12, 17, 24, 36 and 4. 13. Add 6, 81, 93, 21, 7, 36, 40 and 28. 14. Add 7, 99, 19, 29, 40, 27 and 28. 15. Add 8, 89, 40, 25, 16, 9, 4 and 1. 16. Add 8, 25, 70, 56, 8, 31, 22 and 64. NOTE. — Discount is the allowance or deduction made for paying money before it is due; it is equivalent to the interest on the present worth of the debt up to the time of the same becoming payable. The discount, therefore, may be found by subtracting the present worth from the given sum or debt. 11. What is the discount on $84, due in 8 years, at 5 per cent.? 12. What is the discount on $77, due in 9 years, at 6 per cent.? 13. What is the discount on $66, due in 6 years, at 10 per cent.? 14. What is the discount on $74, duc in 6 years, at 8 per cent.? 15. What is the discount on $100, duc in 2 years, at 7 per cent.? 16. What is the discount on $775, due in 4 years, at 10 per cent. ? 17. What is the discount on $57, due in 2 years, at 7 per cent.? 18. What is the discount on $63, due in 10 months, at 6 per cent.? 19. What is the discount on $75, due in 1 year and 4 months, at 6 per cent.? LESSON XLIX. 1. Divide a sum of money between A and B, giving A $3 as often as you give B $2; what share of the money will each receive? NOTE. $3+ $2 = - $5; and $3 of $5, and $2― of $5. Therefore, A receives, and B of the money. 2. If you divide $15 between A and B, by giving A $3 as often as you give B $2, how many dollars will each receive? 3. Divide $35 between John Wilson and Simon Edwards; how much will each get, if John receive $4 as often as Simon receives $3? 4. A man has two sons, to whom he leaves $660; to the elder $7 to every $4 he leaves the younger; how much does each get? 5. A gentleman has 3 sons, to whom he gives 98 cents to celebrate the Fourth of July; Edward, the eldest, has 2 times as much as Robert, the second, and 4 times as much as John, the youngest: how much does each get? 6. Two men buy a cask of beer, containing 30 gallons; one pays $4, and the other $3; what part does each get? 7. Divide 55 into two parts, of which the larger is g of the less; how great is each? NOTE. The larger is 6 times the less, and the smaller 5 times of itself; therefore, 55 must equal 6 +5, or 11 times the less. 25. of the less is then 5, the greater is 30, and the less 8. Divide 27 into two parts, of which one is of the other. 9. I go into partnership with Thomas Gould, and pay in $5 of capital to every $4 he pays; how much more do I pay than he? How much less does he than I? What share of the whole do I pay, and what share does he pay? If we have a profit of $63, how much ought I to get? How much ought Gould? 10. C and D hire a pasture together; C pays $12, and D $10; C puts in 6 cows; how many should D put in? 11. John Stevens and Samuel Judkins hire a pasture together; John puts in 3 cows for 8 days, and Samuel 4 cows for 7 days; they pay $5 rent; what part of it should each pay? 12. While travelling, I met 11 beggars; 2 were cripples, 3 were blind, and 6 were too lazy to work; I gave each cripple 2 times as much as cach blind 13. If the interest of $60, at 2 per cent., is $12, how long has it been on interest? 14. How long must $100 be on interest, at 4 per cent., to gain $40? 15. A note of $80, being on interest at 8 per cent., amounted to $160; how long was it on interest? 16. How long must $10 be on interest, cent., to gain $3? at 5 per 17. If the interest of $20, at 4 per cent., is $4, how long a time has it been on interest? 18. If the interest of $50, at 8 per cent., is $12, how long has it been on interest? 19. Required the time that $40 must be on interest, at 2 per cent., to gain $8. 20. A gentleman lent $60, at 6 per cent., and received $140; how long was it on interest? 21. A sum of money is on interest at 6 per cent., how long will it take it to double itself? NOTE. - That is, if it gain 6 per cent. a year, how long will it take to gain 100 per cent.? 22. How long will it take a sum of money to double itself, at 9 per cent.? At 18 per cent.? 23. A given principal gains of of itself a year; how long will it take it to double itself? = NOTE.of z; if the principal gains of itself in one year, it will take it as many years to gain as much as itself as is contained times in 28, which gives 28 = 9} years. 24. A given principal gains of of itself a year; how long will it take to double itself? To gain of itself? of itself? 25. If I loan $1200, at 8 per cent. a year, how long will it be in gaining $80? 26. If I loan $500, at 7 per cent. a year, how long will it be in gaining $350 ? |