Furnishing a House Mrs. Farley has $250 with which to furnish an apartment of five rooms, stoves being supplied by the owner. She pays for kitchen utensils as follows: 1. Find the total. How much remains for the other four rooms? For 2. She allows for the furniture of each of the two bedrooms $3 less than one-fourth of the remainder. each she buys the following articles: 3. Make out a list of the bedroom furniture, with the prices, that will not exceed the sum allowed. 4. She allows $1 more than the average for the dining room furniture. Make out the list with the prices. 5. Make out a list of the furniture that can be bought for the living room, with the remainder of the money. The following are minimum prices for some articles: He 6. A man works 305 days in a year at $3 per day. spends of his earnings for rent. What is his rent per month? 7. (a) How many square feet of linoleum will be needed to cover the floor of a kitchen 14 ft. long, 13 ft. 6 in. wide? (b) How many square yards? (c) Find the cost at 85 cents per square yard. 8. A man that earns $900 per year spends .2 of this sum for rent, .25 for food for his family, .2 for clothing, .15 for car fares, mending, coal, etc. How much is left for other purposes? SECTION IV DENOMINATE NUMBERS, PERCENTAGE, INTEREST, DECIMALS, MEASUREMENTS, REVIEWS, Compound Denominate Numbers Preparatory Exercises 1. A girl measured the width of a piece of cloth with a yard stick, and found it to be 1 yd. 1 ft. 6 in. wide. What is the width (a) in feet and inches? (b) In feet and the fraction of a foot? (c) In yards and the fraction of a yard? (d) In inches? 2. What fraction of a yard wide is a strip of silk that is (a) 27 inches wide? (b) 2 ft. 3 in. wide? 3. When an ounce of tea is used daily, (a) how many ounces are used in June? (b) Give the weight in pounds and ounces. (c) In pounds and the fraction of a pound. Concrete numbers relating to units of measure; such as 3 ounces, 2 feet, 6 inches, 4 pounds, etc., are called denominate numbers. Denominate numbers containing a single unit, such as 3 oz., 2 ft., $4, 5 bu., etc., are called simple denominate numbers. Those containing two or more related units; such as 5 lb. 3 oz., 1 yd. 2 ft. 6 in., 7 A. 80 sq. rd., are called compound denominate numbers, or merely compound numbers. 1. How many nails 1 inch long can be made from a piece of wire measuring (a) 12 yd. 2 ft. 6 in.? (b) 17 yd. 2 ft.? (c) 16 yd. 9 in.? (a) PROCESS Since there are 3 feet in 12 (yd.) 2 (ft.) 6 (in.) a yard, in 12 yards there x 3 ft. 38 (ft.) x 12 in. Ans. 462 (nails) are 12 times 3 ft., or 36 ft., and in 12 yd. 2 ft. there are 38 ft. Since there are 12 inches in a foot, in 38 feet there are 38 times 12 in., or 456 in., and in 38 ft. 6 in. there are 462 in. In doing the work, however, use 3 as the first multiplier, and "add in " 2. ft. while performing the multiplication. Then multiply 38 by 12, and "add in " 6 inches. 2. Reduce: Written Exercises a. 13 yd. 1 ft. 7 in. to inches. c. 3 mi. 20 rd. 4 yd. to yards. b. 16 yd. 2 ft. to inches. d. 20 rd. 4 ft. to feet. e. 16 bu. 2 pk. 7 qt. to quarts. f. 26 bu. 3 pk. to quarts. Since there are 3 ft. in a yard, divide 38 ft. by 3 ft., which gives the number of yards as 12, with a remainder of 2 ft. After 12, write yd. in a parenthesis. Bring down 6 in. (b) 12 in.)636 in. (c) 12 in.)585 in. 3 ft.)53 (ft.) 3 ft.)48 (ft.) 9 in. 2. Reduce to higher denominations: a. 189 in. b. 284 oz. c. 3700 sec. e. 168 hr. f. 275 mo. g. 3700 min. Sight Exercises Change to higher denominations: b. 70 oz. c. 160 oz. d. 147 pt. (liquid) h. 215 qt. (dry) a. 64 oz. d. 170 oz. e. 150 min. |