ARTICLES SOLD BY THE THOUSAND, HUNDRED, OR Written HUNDREDWEIGHT 1. What is the cost of 8975 bricks at $7 per M? (M stands for 1000.) 8975 = 8.975 M. Since 1 M costs $7, 8.975 M cost 8.975 X $7, or $ Ans. 2. What must be paid for 980 pencils at $2.30 per C? (C stands for 100.) 980 = €9.80 C. Since 1 C costs $2.30, 9.80 C will cost 9.80 × $2.30, or $ Ans. 3. Find the cost of 1550 lb. of new buckwheat flour at Since 1 cwt. costs $3.50, 15.50 cwt. cost 15.50 × $3.50, or $Ans. NOTE. In final results, a fraction of a cent, equal to or greater than cent, is counted a whole cent. A fraction which is less than cent is dropped. Find the cost of each of the following items and the total cost of all of them: 4. 27,325 bricks at $8.15 per M. 5. 4900 cu. ft. of gas at $1.20 per M. 6. 583 lb. sugar at $6.75 per C. 7. 4900 tomato plants at $4.50 per M. 8. 1000 laths at 40¢ per C. 9. 3125 cu. ft. of city water at $.14 per C. 10. T. fiber paper at $4.50 per cwt. 11. 5600 paper bags at $4.90 per M. 12. 16 boxes of envelopes, 250 in a box, at $1.50 per M. 13. 850 Japanese napkins at $.28 per C. LUMBER MEASURE A piece of wood 1 ft. long, 1 ft. wide, and 1 in. thick is a board foot (bd. ft.). foot TO THE TEACHER. As material for this lesson, a real board a piece of board exactly 1 ft. long, 1 ft. wide, and 1 in. thick should be provided. Refer to it in obtaining answers to the oral questions below and whenever pupils seem to answer wide of the mark in this subject. This is very important. Oral 1. How many inches long is a board foot? How many inches wide? How many cubic inches does a board foot contain? 2. How many board feet piled one upon another would make a cubic foot? Show with your hands how wide, long, and high this pile would be. 3. A board 1 in. thick, 1 ft. wide, and 6 ft. long contains how many board feet? Draw it full size on the blackboard, and mark off the board feet. 4. If the board in question 3 were twice as thick, how many board feet would it contain? How many inches thick would it be? 5. If it were five times as thick, how many board feet would it contain? 6. How many board feet are there in a piece of board 1 ft. wide, 16 ft. long, and 1 in. thick? 7. If this piece of lumber were 2 in. thick, how many board feet would it contain? 3 in.? 4 in.? 5 in.? 6 in.? 8. A piece of inch board 3 ft. long must be how wide to contain 1 bd. ft.? M9. A piece of board 1 in. thick, 2 in. wide, and 12 ft. long contains how many board feet? To find the number of board feet in any piece of lumber, multiply together its three dimensions, two of them expressed in feet and the other in inches. Lumber less than 1" thick is counted as 1" thick in measuring. Oral 1. How much lumber is used in making this box with cover? (Take outside measurements.) 2. About how many feet of lumber (board feet) are there in the top of your desk? One end of the bookcase? The cupboard door? All the shelves in the bookcase? 3. Estimate the amount of lumber in a cubical box, including the cover, made of Written -inch lumber, the length of the box being three feet. 4. The door in this hayloft is 4 X 4'. Two battens across the inside are 4' × 6′′. How many feet of lumber are used in the door, the lumber being 1" thick? 1. What is the cost of 20 pieces of lumber 2" x 4" x 14' 2. 18 pieces 1" x 6" x 16' at $45 per M. 3. 48 pieces 2" x 4" x 18' at $36 per M. 4. 88 pieces 3" x 4" x 14' at $40 per M. 711 8 (Problems 21-23 are for strong pupils.) 21. In making a chest, Fred uses two pieces of lumber 7" × 12" × 21', two pieces 7' x 12" x 16", four pieces 7" × 87′′ × 31", and one piece " × 11′′ × 51′. Allowing 3 bd. feet for waste, how much lumber must Fred buy, and how much will it cost at $80 per M? 22. What must Mr. Allen pay for lumber to lay a new floor in his porch which measures 24 ft. by 10 ft.? The boards are 11" thick. Mr. Allen adds an amount equal to of the entire floor, to allow for the loss in matching and for other wastes, and the lumber costs $58 per M. 23. Measure the floor of your schoolroom, and estimate the cost of lumber for a new floor 3" thick at $70 per M, adding of the actual surface, to allow for matching and other waste. Oral REVIEW AND PRACTICE (For class exercise, not for assignment.) 1. What common fraction in lowest terms equals .33? .87? .625? .37? .20? .80? .60? 2. What decimal is equal to ? ? ? ? ? 3. Give results: .8 × 7;.12 ÷ 6; 1.5 × .6; 1.03 × 5; 7.01 X .6. 4. Give results: 2000 20; 3.528 x 100; 53 ÷ 100C; 950 ÷ 50; 2.3 × 1000. 5. 10 is how many times ? 6. What is the cost of 24 oranges, when 8 oranges cost 25 cents? 7. What is the difference between 1 of 10 and 1 of 10? 10. is contained in 7 how many times? 12. What is the cost of three bananas at 20 cents a dozen? 13. How many boys are there in a class of 45 pupils if of the pupils are girls? 14. How many cubic feet of stone are there in a stone wall 8' X 4' x 2'? 15. Ethel cut 20 roses one morning; 40% of them were red. How many red roses did she cut? 16. One dozen is what per cent of one gross? 17. A peddler sold 36 pencils at the rate of 2 for 5 cents. What did he receive? |