NOTE. If the division is exact will there be any remainder at any time during the operation? Why? 37. Checking. The best method of checking division is to multiply the quotient by the divisor and add the remainder; the result should equal the dividend. 38. Division may be checked by casting out nines. Divide each of the following by 10; by 100; by 1000; and by 10000: 11. 48000 12. 3650000 15. 4900000 19. 20000000 23. 34621 16. 28490000 20. 21900000 24. 8540 13. 50000 17. 5800000 21. 4758 25. 17543 14. 850000 18. 85000000 22. 73954 26. 75436907 37. A state's fruit crop of 168,953,967 bushels is valued What is the value per bushel? at $337,907,934. What is the value 38. A grocer's sales for one year were as follows: What were his average sales per day, allowing 26 days to the month? MISCELLANEOUS PROBLEMS As you solve each problem, compare the result with the statement of the problem and decide whether it is sensible. GROUP 1 1. Add $294.26, $17.11, $300, $52.25, $7.64, $.18, $3.17, $1.95, $219.78, $1340.05, $8.01, $27.17. : 2. Brown and Jones's books show the following accounts receivable $805.74, $251.06, $17.85, $239, $ 84.50, $371.98, $726.24, $73.12, $304.05, $420.19, $35, $34.21, $15.10, $425.50. What amount is due the firm? 3. Find the totals in the following table.by horizontal and by vertical addition; check the work. 7. A man purchases a hat for $3, a pair of gloves for $1.50, a shirt for $1.15, four handkerchiefs at 2 for 25, 6 collars at 2 for 25 ¢, and a pair of shoes for $3.50. If he tenders a twenty-dollar bill in payment, how will the cashier count out the change? 8. Find the result of $619.20, minus $24.05, plus $210.86, plus $744.08. 9. Find the balance in the following account: debit items, $2345.28, $174.29, $ 2392.82, $ 4412.37; credit items, $861.95, $340, $ 3538.09, $1746.03. 10. Arrange as in problem 12, page 22, and find the balance Jan. 1, 1915. Deposits. Jan. 1, 1914, $ 500; Mar. 10, $360.25; June 19, $195.50. Checks. Feb. 18, $54; Mar. 23, $27.50; June 15, $85.10; Nov. 20, $125. 10. A planter raises 1368401 pounds of cotton on 2600 What is the average per acre? acres. GROUP 3 1. If the remainder is 430, the quotient 1148, and the dividend 876354, what is the divisor? 2. If 75 acres of land produce 3000 bushels of corn, how many bushels will 140 acres produce? 3. A grain broker sells 5 cars of corn of 1000 bushels each at 65¢ per bushel. What is the value of the shipment? 4. B buys chemicals at $1.85 per 100 pounds. What is the cost of a shipment of 100 barrels weighing 378 pounds each, the weight of an empty barrel being 20 pounds? 5. A farmer purchased a 125-acre farm for $11,200; he sold 50 acres at $100 per acre. If he wishes to gain $1000 on the entire transaction, for how much per acre must he sell the remainder? 6. What number subtracted 227 times from 826,946 will leave a remainder of 212? 7. Arrange as in problem 1, page 20, and determine each person's balance at the close of the day. Check your work. On March 10, A's balance is $3224.10, he deposits $213.47, and checks out $95.50. B's balance is $210, he deposits $25.75, and checks out $35.04. C's balance is $1000, he deposits $100, and checks out $25. D's balance is $1305.01, he deposits $2700, and checks out $1315.82. E's balance is $437.98, he deposits $105.17, and checks out $50. 8. A salesman travels 4126 miles at an average cost of 21 per mile for railroad fare. His trip takes him 41 days, during which time he spends an average of $4.15 per day for hotels and incidental expenses. What is the cost of the trip? 9. From the following exports of domestic merchandise, find the total number of bushels exported and the total value of the exports. 10. A manufacturer sells automobiles for $950 each. He sells 235 machines in March, 341 in April, 462 in May, 508 in June, and 470 in July. If the cost of manufacturing and marketing is $695.45 for each machine, and the manufacturer replaces guaranteed parts to the total amount of $864.79, what is his gain on the 5 months' sales? BUS. ARITH. - 3 |