In each such problem as (e), the number that follows the word of always becomes the denominator. 120 is 18 = }} = § of 140. 6. 63 is 7% (7 hundredths) of (f) 364 is 7% of what? (g) 635 is 5% of what? 7. 72 is 9% (9 hundredths) of (h) 657 is 9% of what? (i) 584 is 8% of what? 8. 54 is 6% (6 hundredths) of *Lead the pupil to observe that he has already learned to solve "Case 3" problems in percentage in two ways. Sometimes he has found what part one number is of another and has changed the fraction thus obtained to hundredths. See problems 11 to 17, page 57. Sometimes he has found one per cent of the base and has used this number as a divisor to obtain the required result. See page 58, problem (0); page 68, problems 3 to 5; page 78, problems 4 to 6. The "Case 3" problems on this page and the greater number of those that follow in Part I., can be most readily solved by the second method. 12 is what % of 200? One % of 200 is 2; therefore 12 is 6 per cent of 200; 13 is 61 per cent; 54 is 27 per cent, and 45 is 221 per cent. PERCENTAGE. 1. Three % of $620 = 3. Eighteen is -% of 600. (a) Find 9% of $620. (f) 174 is what % of 600? 6. Thirty-six is % of 600. (g) A farmer had 825 sheep; he sold 8% of them. How many sheep did he sell? (h) How many sheep did he have left? (i) A dealer bought some sheep and immediately sold 72 of them; these were 8% of all he purchased. How many sheep did he purchase? (j) How many sheep did he have left? (k) Mr. B had 400 sheep; he sold 48 of them. What % of his sheep did he sell? (1) A man had $485; he spent 7% of his money. How much money did he spend? (m) How much money did he have left? (n) Peter Gray paid $35.50 for a suit of clothes; this was 5% of all he earned in a year. How much did he earn in a year? (0) Judge Branson had $600 in the bank; he drew out $198. What % of his deposit did he draw out? 7. A lawyer collected $800; he retained as his commission $56 of this sum and paid the remainder, dollars, to the man for whom he collected the money; the lawyer's commission for collecting was ・%. (p) A lawyer collected $850; he retained as his commission for collecting $51 of this sum. What per cent did the lawyer charge for making the collection? REVIEW. (a) A creamery received milk as follows: Monday, 8250 lb.; Tuesday, 7640 lb.; Wednesday, 8375 lb.; Thursday, 7230 lb.; Friday, 6953 lb.; Saturday, 8424 lb. ; Sunday, 7651 lb. Find the number of pounds received during the week. (b) Find the average daily receipts. 1. Add and. (Change to ths.) (c) Find the sum of 3751%, 246, 821,7, and 234. (d) Find the product of 372 multiplied by 63. (e) Find the product of 372 multiplied by 6.75. Compare the answers to problems (d) and (e). (f) Make a bill containing the following items, and find the amount: Aug. 2, 24 lb. sugar @ 5¢; Aug. 5, lb. tea @ 70¢; 2. Draw a diagram of a piece of land 40 rods by 36 rods, inches long and (g) How many square rods in the piece of land described in problem 2? (h) How many acres? (i) The perimeter of the field is how many rods? of 25. 3 twenty-fifths are - hundredths. of 25. 4 twenty-fifths are (j) 85 is what part of 95 ? (n) 105 is what part of 115? hundredths. (k) 95 of 85 ? (m) 105 of 95 ? (0) 115 of 105? MISCELLANEOUS PROBLEMS. 1. Horace spent of his money and had 24¢ left; he Before spending any money he had spent cents. cents. (a) Mr. Green spent of his money and had $56.48 left. How much money did he spend? (b) Before spending any money how much did he have? 2. At 24 an ounce, of a pound of cinnamon costs. cents. (c) Find the cost of 5 pounds of cloves at 114 per ounce. 3. A farmer mixed 10 bushels of oats with 15 bushels bushels of grain. What What part was corn? of corn; together there were part of the mixture was oats? (d) A dealer mixed 250 bushels of oats with 350 bushels of corn. What part of the mixture was oats? (e) What part was corn? 4. Eddie, Willie, and Fay divided a melon among themselves. Eddie had 1 fourth of the melon. Will had of what remained after Eddie had taken his share. What part of the melon did Will have? What part of the melon was left for Fay? (f) An estate was divided as follows: The widow received 1 third of it, and each of five children received 1 fifth of what remained after the widow had received her share. What part of the whole estate did each child receive? 5. A had 3 sevenths of an estate and B had 4 sevenths of it. A's share was equal to what part of B's share? (g) If the estate mentioned in problem 5 was worth $9660, what was the value of A's share? (h) Of B's share? |