Exercise 84. Approximation Problems 1. Find the cost of 3 pounds of bacon at 38 cents a pound. This may be considered as approximately 3 pounds at 40 cents a pound. Notice that one factor must be made slightly smaller as the other factor is made slightly larger to keep the result approximately the same. Compare this result with the exact cost. 2. Find the cost of 2 pounds cheese at $.43 a pound. 3. What will 5 yards of cloth cost at $.68 a yard? 9. A farmer sold a grocer a can of lard containing 41 pounds at $.29 a pound. How much did he receive for it? 10. A woman, living in the city, bought 21 dozen eggs of a poultry raiser to put away for her winter's use. How much did they cost at 38 cents a dozen? 11. Donald sold a grocer 16 quarts of strawberries at 19 cents a quart. How could he figure the approximate amount mentally so that he could check the grocer's exact computation? 12. Roy sold a neighbor woman 22 pounds of beans at 9 cents a pound. He charged her $2.03 for them. How could she figure the approximate amount to check his charge? 13. Henry sold a grocer 43 pounds of country butter at 54 cents a pound. How much sugar could he get in exchange at 11 cents a pound? Exercise 85. Fractional Parts 1. A grocer charged a customer 36 cents for pound of cheese. What was his price per pound? Three-fourths of the cost of a pound = 36 cents. One-fourth of a pound costs of the cost of three-fourths of a pound. Then of the cost of a pound of 36 cents or 12 cents. of the cost of a pound = = 4 X 12 cents or 48 cents. 2. A merchant charged Alice $1.50 for 3 yard of silk. What was the price per yard? 3. A customer paid 28 cents for pound of round steak. How much was the price of round steak per pound? 4. Mr. Andrews owns of a factory. He values his share at $48,000. What is the total value of the factory at that rate? 5. After using his auto for a year, Mr. Johnson sold it for $1600. This was of what it cost him. How much did it cost him? 6. I paid 63 cents for 1 pounds of butter. price per pound? What was the Elizabeth bought 7. Ethel bought yard of silk for $1.44. yard of the same material. How much did she pay for that amount? Suggestion: First find the cost of a yard, then of the 8. If yard of cloth costs $1.65, what will same cloth cost? yard. yard of the 9. A used car was traded in at of the value of a new car. If the used car was valued at $860, what was the value of the new car? 10. If a grocer charges 32 cents for dozen oranges, what is his price per dozen? 11. At $1.20 for yard, what will 4 yards of cloth cost? Exercise 86. Dressmaking Problems 1. A piece of goods 16 inches long contains 4 quarter-inch tucks, 3 half-inch tucks and a 2-inch hem. How long was it before being tucked? Allow double for tucks. For example: A quarter-inch tuck requires one-half of an inch of material. Allowinch extra for all hems to allow for turning under the edge. 2. How wide must a piece of goods be to be 24 inches wide when complete if we allow for 6 quarter-inch tucks and a 2inch hem? 3. Find the cost of the following serge dress: 4 yards of serge at $3.00 a yard; 11⁄2 yards of braid at 18 cents a yard; 1 yard of lining at 35 cents; 1 yard stiffening at 25 cents; thread 15 cents; 1 card of hooks and eyes 10 cents and 1 bolt bias binding 20 cents. 4. Find the cost of a school apron: 1 yards percale at 35 cents a yard; 1 bolt ric-rac braid at 20 cents; 2 buttons at 20 cents a dozen; spool of thread at 5 cents. 5. A girl in the sewing class made a serge dress. She bought 3 yards of 54-inch serge at $3.00 a yard; yard of lining at 35 cents a yard; 1 card of hooks and eyes 10 cents; 1 bolt of bias binding at 20 cents; 1 bolt of braid at 18 cents; 1 spool of silk thread at 10 cents; 1 spool cotton at 5 cents and 20 cents worth of belting. Find the cost of her dress. 6. Find the cost of the materials for a gingham school dress: 8 yards of gingham at 371⁄2 cents a yard; yard linen at 90 cents a yard; 1 bolt bias binding at 20 cents; 1 card of hooks and eyes at 5 cents; 1 spool of thread at 5 cents and 1 yard belting at 20 cents. 7. Find the width of a piece of goods if it is to be 20 inches wide when finished if we are to allow for four-inch tucks, six-inch tucks, two-inch tucks and a 1-inch hem. Review of Decimals What are the chief points to observe in copying decimals for addition or subtraction? Exercise 89 State the principle for pointing off the decimal places in a State the principle for pointing off decimal places in a quotient. Divide (carry the quotients to four decimal places if necessary): 1. .1088 by .032. 2. .025 by 12.5. 3. 21.9912 by 3.1416. 5. 78.54 by 25. 6. 62.5 by .125. 7. $78.60 by .05. 8. $13.75 by .055. 9. .0075 by 2.5. 10. 3.75 by .0125. |