NOTE. Before extracting the square root of the following, reduce the mixed numbers to improper fractions. 150-23-48 162-(26+61) 174-41-35 165-(28+47) 172-19-66 154-(36+44) 163-38-43 171 − (32+33) 183-37-42 184-(39 +35) 155-49-24 180 (18+28) 161-12-71 173 - (57+17) 181-47-33 153-(45+31) 1065. Oral Problems. 1. Paid 92 for coffee, 48 for butter, and 18 for lard. How much was my bill? 2. I had $150. Spent $23 for a suit of clothes and $48 for tools. How much was left? 3. What is the area of a field 36 yd. by 31 yd.? 5. What is the cost of a cow if I pay $630 for 15? 6. How many ounces in 29 lb.? 7. 1094 lb. sugar are divided among 4 people. What is the share of each? 8. At 1% per lb., how many lb. iron can I get for $5.70? 9. What will be the cost of 51 tons iron at $17 per ton? 10. What will be the average age of 9 boys, each 12 years old, and 6 boys, each 10 years old? 11. At 42 miles per hour, how long will it take a train to o 882 miles? 12. At 25 per hour, what will a man earn in 18 days of 10 hours? 13. What will be the net price of an article whose catalogue price is $20.00, the discount being 90 and 10%? 14. A man had $181 in bank. What will be his balance after taking out $ 47 and $33? 15. How many feet in 14 rods? 16. 77 yards how many rods? 17. How many sq. yd. are there in a floor 10 yd. long and 6 yd. wide? 19. A man owns 3 farms containing 65 acres, 86 acres, and 98 acres, respectively. How many acres does he own? 20. What is the area of a piece of glass measuring 8 by 61 inches? 21. What is the value in U. S. money of 50 marks at 23% cents? 22. How many francs will a calf cost, if 18 are worth 630 francs? 23. A man spends $1,740 per year. What is the average amount spent per month? PROPORTION. 1068. A ratio is generally expressed by the sign (:). This is another form of the division sign (÷). 1071. The first and the last term of a proportion constitute the extremes; the second and the third, the means. 5:15:9:27 5 and 27 are the extremes. 15 and 9 are the means. The proportion is read: 5 is to 15 as 9 is to 27. 1072. The proportion 3:4::x:y may be written Clearing of fractions, we have 3y = 4x; i.e., the product of the extremes is equal to the product of the means. Solve the following: 1073. Make the product of the extremes equal to the product of the means, after canceling any factor common to an extreme 1. If 9 eggs cost 25, what will 3 dozen cost? 2. If 7 lb. flour cost 23, what will be paid for 49 lb.? 3. For $5 I can get 12 straw hats. How many can I get for $20? 4. A wheel makes 75 revolutions in 5 minutes. How many does it make in an hour? |