MISCELLANEOUS PROBLEMS. 1. How many cubic feet in the following boxes: 143 f. 44 ft. long, 3 2. Reduce 12 bu. 5 qt. to pints. Reduce 503 pt. to bushels. 3. If a rectangular field is 84 ft. long and 60 ft. wide, how many boards, each 12 ft. long, will it take to go round it? How many boards to make a fence five boards high? 4. If 13 tons of hay cost $97.50, what will 7 tons cost? 5. If 9 men can build a wall in 15 days, how long will it take 5 men to build it? 6. At the rate of 5 peaches for 8 apples, how many apples can be bought for 5 dozen peaches? 7. If § of a farm is worth $4,500, what are % of the whole farm worth? What is of it worth? 8. A man buys a rectangular piece of ground 300 ft. long by 150 ft. wide. He builds a house 50 ft. by 30 ft., and a shed 12 ft. by 13 ft. How many square feet of the lot are not covered by the buildings? 9. How many square feet are there in a board fence 10 ft. high round a rectangular lot 250 ft. long, 200 ft. wide? 10. How many acres are there in a rectangular field 80 rd. long, 70 rd. wide? How much is it worth at $75 an acre? 11. Draw a figure to represent the ceiling and 4 walls of a room 24 ft. long, 18 ft. wide, 12 ft. high. Scale 1 in. to 6 ft. Find the number of square feet in all. 12. What is the average price of 9 cows that cost respectively $34, $46, $52, $58, $80, $45, $55, $50 and $75? 13. A man receives in a year $450 rent from a house, $1350 for rent of a mill, $660 for rent of a farm. What is his income for one month? 1. A boy is carrying 64 lb. of flour and 6 lb. of ham. What is the weight of his load? 2. How much will 60 eggs cost at 20 cents a dozen? 3. If you should buy a paper of pins for 8 cents, some tape for 6 cents, and an apron for 30 cents, how much change would you receive from 50 cents? 4. At 25 each, you could buy how many things for $1? For $2? 5. Give a short method for finding how many articles can be bought for a certain number of dollars at 25 each. At 25 each, you can buy how many: 6. Base balls for $9? 7. Hats for $11? 8. Cakes of soap for $31? 10. Yards of cloth for $53 ? 11. At 33 each, how many things can you buy for $1? $2? 12. State a short way for finding how many things at 33 each can be bought for a given number of dollars. At 33 each, you can buy how many: 13. Yards of ribbon for $4? 14. Pairs of cuffs for $12? 15. Pounds of butter for $9? 16. Pounds of candy for $13? 17. Pecks of nuts for $23? 18. Dozen of oranges for $3.331? 19. Dolls for $4.66%? 20. Knives for $61? 21. Straw hats for $2.663? 22. Cans of milk for $5? 23. Articles for $71? 24. Articles for $8? ÷ 2 = 4 ÷ 2 = 3. A FRACTION DIVIDED BY AN INTEGER. 1. Divide 4 books by 2. Divide 4 ninths by 2. 145 This point should be illustrated by the fractional disks. Perform the following examples by means of the disks: Learn: Divide the numerator of the fraction by the integer. TO DIVIDE AN INTEGER BY A FRACTION. = First change the integer to a fraction whose denominator is the same as that of the divisor. 21 equals 4.8 and being like fractions are divided like integers. 84 divided by 3 equals 28. 7. Learn: Change the integer to a fraction whose denominator is the same as that of the divisor, then divide the 3. What is the cost of 1 lb. 4 oz. of grass seed at 2 an oz.? 4. 1 bu. of oats weighs 32 lb. How many pounds in a peck? Quart? 5. How many feet in 5 yd. 2 ft.? 6. What is the cost of 9 ft. of ribbon at 10 a yard? 7. At 10 a mile, what will it cost to travel 6 miles and back again? 8. There are 72 cows and sheep in a field. One sixth are How many sheep are there? How many more sheep COWS. than cows? 9. A tree is 72 feet high, and 9 times as tall as it is round it at the base. How many feet round the base ? 10. A wagon cost $60, which is 5 times the cost of a harWhat is the cost of both wagon and harness? ness. 11. If 6 lb. of coffee cost $1.80, what will lb. cost? 12. How many men can build a wall in 10 days, if 5 men can build it in 20 days? 13. If 5 men can build a wall in 20 days, in how many days can 10 men build it? 14. How much will of 12 yd. of silk cost, if 7 yd. cost $14? 15. How much will 9 bbl. of vinegar cost, if 5 bbl. cost $45? 16. 9 men can mow 36 acres in a day. How many acres can 3 men mow in a day? 6 men? 12 men? 17. If 5 yd. of silk cost $15, what will 7 yd. cost? 12 yd.? 18. Find the cost of 10 lb. rice @ 79. 19. Find the cost of 12 bbl. flour @ $61. 20. Find the cost of 12 months rent @ $30. 21. If the school is of a mile from Jennie's house, how many miles must she walk every day if she goes home at noon and back in the afternoon? |