4. Seven twenty-fifths of the number of Indians in Utah in 1902 was 609. Find the Indian population of Utah that year. 5. Seven ninths of the area of South Dakota is 60,340 square miles. Find the area of South Dakota. 6. Two thirds of the number of post offices in the United States in 1903 was 49,354. Find the number of post offices in the United States in that year. Find 7. Four ninths of the number of bales of cotton produced in the United States in 1903 was 4,767,804. the number of bales of cotton produced that year. 8. Find the average weight of a bale of cotton, if 11 of the average weight of a bale is 253 pounds. 9. Five eighths of the world's production of sugar for 1903 was 6,134,445 tons. sugar that year. Find the world's production of 10. Eight elevenths of the distance by rail from Charleston, S.C., to San Francisco, Cal., is 2448 miles. distance from Charleston to San Francisco. Find the Example 1. Two men are employed to do a piece of work, one receiving $3 a day and the other $2 a day. If the wages of both is $95, find the number of days the two men worked. Let Then, Therefore, x = the number of days the men worked. $3x= the wages of one man. $2x= the wages of the other man. $3x+$2x= the wages of both. 1. A father and his son work together, the father getting $5 a day and the son $2 a day. If the wages of both is $112, how many days did they work? 2. A man buys the same number of horses and wagons. The horses cost $75 apiece and the wagons $37 apiece. If he spent all together $1008, how many horses did he buy? 3. A dealer buys two kinds of coal, the same quantity of each, one kind at $7 a ton and the other kind at $5 a ton. If the entire purchase costs $1788, how many tons of each does he buy? 4. I have the same number of nickels and quarters, and have $1.80 all together. How many of each have I? 5. The arithmetics and the readers for a class cost $6.75. If an arithmetic costs 25 cents, and a reader 20 cents, how many pupils are in the class? 6. A farmer sold the same number of turkeys and geese, the turkeys at $2 apiece, and the geese at $1 apiece. If the turkeys and geese brought $75, how many of each did he sell? 7. A property owner builds a number of cottages at $1500 apiece, and an equal number of cottages at $900 apiece. If he spends all together $14,400, how many cottages of each kind does he build? 8. A clothier buys a number of suits at $5 apiece, and the same number of suits at $6 apiece. If the suits cost $2365, how many of each kind does he buy? 9. A shoe dealer buys a number of boys' shoes at $1 a pair, and an equal number of men's shoes at $3 a pair, paying all together $436. How many pairs of shoes of each kind does he buy? 10. A woman buys a number of yards of ribbon at 18 cents a yard, and the same number of yards of ribbon at 13 cents a yard, paying for both $9.30. How many yards of each kind does she buy? REVIEW. EXERCISE 13 1. Divide $150 between two persons, giving one $36 more than the other. 2. Divide $210 between A and B, giving A five times as much as B. 3. A bookkeeper receives a salary at the rate of $165 per month. If he is paid his monthly salary in $5 and $10 bills, the same number of each, how many of each does he receive? 4. According to the census of 1900, the population of Alabama is 1,828,697. The male population exceeded the female population by 4831. Find the male and female population of Alabama. 5. The census of 1900 gives Columbus, Ohio, 442 persons more than twice the population of Lawrence, Mass. The population of both cities that year was 188,119. Find the population of each city. 6. The population of Fall River, Mass., in 1900, was 5530 more than three times the population of Sioux City, Ia. The population of both cities in that year was 137,974. Find the population of each city. 7. The number of banks in New Mexico in 1903 was 35. There were four more state banks than private banks, and the number of national banks was one more than four times the number of private banks. How many banks of each kind were in New Mexico? 8. Four ninths of the number of post offices in the United States in 1902 increased by 256 is 34,000. Find the number of post offices in the United States in 1902. |