1. How does the amount of money paid out compare with the amount of money received? 2. How do we find the balance on hand? In business, the books are usually balanced once a month. This class balanced their cash account each week because they had the store only for the first three weeks of school. Exercise 100. Repairing Shoes The pupils of a certain city school repair shoes for the pupils of that school at the following prices per shoe: Half-soling shoe, 50c. Sewing half-sole, 60c. Rubber heels, 40c. Re-fastening buttons, 5c. 1. Find the cost of half-soling eight pairs of shoes, the soles to be sewed. 2. What will be the cost of half-soling five pairs of shoes (pegged), and putting on rubber heels? 3. Find the cost of putting on rubber heels and re-fastening the buttons on six pairs of shoes. Some school boards have equipped their manual training departments with shoe-repairing outfits so that pupils unable to pay may have their shoes kept in repair, during the school months, free of charge. DENOMINATE NUMBERS Exercise 1 cubic measure Supply the missing Review the tables of length, square measure, and weight found on pages 139 to 150. numbers in the following: = ? square rods 1. How many rods are run in a quarter-mile race? How many yards? 2. A-hundred yard dash is equal to how many feet? To how many rods? 3. Find the number of inches in a mile. 4. A field is 40 rods long and 30 rods wide. Find the number of square rods in the field. (See page 143.) How many acres are there in the field? 5. A cellar is 20 feet long, 15 feet wide and 8 feet deep. How many cubic feet are there in the cellar? (See page 150.) How many cubic yards of earth were removed to make the excavation for the cellar if the excavation was 6 feet deep? 6. The average weight of a bale of cotton is 500 pounds. How many such bales does it take to weigh a ton? 1See page 222 for definition of denominate numbers. 211 Exercise 2. Liquid Measures You have already had many opportunities to use pints, quarts and gallons in your daily experiences. 1. What sized bottles or measures are usually used in selling milk and cream? 2. What is the chief measure used in selling gasoline and kerosene? 3. In what sized bottles or measures is vinegar sold? 4. What other liquids are measured in pints, quarts or gallons? Table of Liquid Measure 2 pints1 (pt.) = 1 quart (qt.) A cup or common tumbler = pint 5. How many quarts of lemonade are needed to serve a party of 24 children, allowing a tumbler full for each? 6. A school lunch room uses 60 quarts of milk per day. How many gallons of milk do they use? How many half-pint bottles can be filled with 60 quarts of milk? 7. How much does this milk cost the lunch room at 15 cents per quart? 8. A recipe for a cake calls for a cup of milk. What part of a quart bottle of milk will be used in making the cake? Formerly 4 gills were considered as a pint, but the gill is now very little used. It has been superseded by the cup or half-pint. "The gallon takes its name from an old French wine jar or bowl. 9. Find the volume in cubic inches of a rectangular shaped watering trough 70 inches long, 12 inches wide and 10 inches deep. How many gallons will it hold? Remember that a gallon=231 cubic inches. 10. How many half-pint bottles of grape juice can be filled from a kettle containing 2 gallons? Barrels vary greatly in size. A standard barrel holds 31 gallons. 11. How many quart bottles can be filled from a barrel of vinegar? 12. A hogshead, in this country, generally holds 63 gallons. How many barrels make a hogshead? 13. A pint of water weighs 1.044275 pounds. How much does a gallon of water weigh? 14. A pint1 of milk weighs 1.07775 pounds. How much does a gallon of milk weigh? 15. Milk is sold in large quantities by weight. How many gallons of milk are there in a can containing 100 pounds of milk? 16. Why is it more convenient to sell milk in large quantities by weight rather than by measure? Exercise 3. Dry Measures Such articles as wheat, corn, potatoes, apples, berries, etc., are measured in bushels, pecks, quarts and pints. In selling potatoes and apples, the measures must be heaped to give the right amount. Why? 1Since a pint of water, milk and certain other liquids weighs approximately a pound, there originated the old saying that: "A pint's a pound, the world around." Since it is difficult to tell just how much to heap a measure for each article, it is much more satisfactory to buy and sell these products by weight. Many stores sell potatoes, apples, beans, rice, etc., entirely by weight. They price apples at 10 pounds for 95 cents or 15 pounds of potatoes for a certain amount. Other stores sell by weight, but still use the terms bushels, pecks and quarts. It is therefore necessary to know the facts in the table of dry measure. Table of Dry Measure 2 pints (pt.) = 1 quart (qt.) A bushel contains 2150.42 cubic inches. A heaped bushel contains 2747.07 cubic inches. 1. A fruit dealer sells crates of strawberries containing 16 quart boxes. How many bushels are there in each crate? How much per bushel is obtained for strawberries at $2.40 a crate? 2. A tin box is 10 inches long, 8 inches wide and 7 inches deep. How many quarts of berries1 will it hold? See footnote for number of cubic inches in 1 quart. 3. A barrel of apples holds approximately 3 bushels. How many pecks of apples are there in a barrel? How much does a peck of apples cost at $6.00 a barrel? 4. How many cubic inches are there in a cubic foot? In estimating the capacity of bins, 5 cubic feet are allowed for 4 bushels of grain. How much does the actual number of cubic inches in 4 bushels compare with the number of cubic inches in 5 cubic feet? The quarts and pints are not the same in liquid and dry measures. The liquid quart contains 57 cubic inches, and the quart in dry measure contains about 67 cubic inches. |