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5. If $782 is divided among three persons A, B and C in the ratio 1/2: 2/3: 3/4, then find the share of A.

5. If $782 is divided among three persons A, B and C in the ratio 1/2: 2/3: 3/4, then find the share of A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. If $782 is divided among three persons A, B and C in the ratio 1/2: 2/3 : 3/4, then find the share of A. 6. 6 bowls cost $90. What would be the cost of 10 such bowls? 7. Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay? 8. The ages of A and B are in the ratio 3: 5. Four years later, the sum of their ages is 48. Find their present ages. 9. A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct? 10. A sum of money is divided among Ron and Andy in the ratio 4: 7. If Andy's share is $616, find total the money. 11. An amount of money is to be divided among P, Q and R in the ratio 3:7:12. The difference between the shares of P and Q is $2400. What will be the difference between the shares of Q and R ? 12. Ramon has notes of $100, $50 and $10 respectively. The ratio of these notes is 2:3:5 and the total amount is $2,00,000, Find the numbers of notes of each kind. 13. Divide $430 into 3 parts such that A gets 5/4 of B and the ratio between B and C is 3:4. 14. The monthly incomes of two persons are in the ratio 4:5 and their monthly expenditures are in the ratio 7:9. If each saves $50 per month, find the monthly income of the second person. 15. A certain sum of money is divided among A, B, C in the ratio 2:3 :4. If A's share is $200, find the share of B and C. 16. Divide $940 among A, B, C in the ratio 1/3: 1/4 : 1/5 17. In a library the ratio of English books to Math books, is the same as the ratio of Math books to Science book. If there are 1200 books on English and 1800 books on Math, find the number of Science books. 18. The ratio of the prices of two houses was 16 : 23. Two years later when the price of the first has increased by 10% and that of the second by $477, the ratio of the prices becomes 11 : 20. Find the original price of the first house. 19. The ratio of monthly income to the savings in a family is 5:4 If the savings be $9000, find the income and the expenses. 20. The ratio of number of male and female teachers in a school is 3: 4. If there are 16 female teachers, find the number of male teachers.
Transcribed Image Text:5. If $782 is divided among three persons A, B and C in the ratio 1/2: 2/3 : 3/4, then find the share of A. 6. 6 bowls cost $90. What would be the cost of 10 such bowls? 7. Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay? 8. The ages of A and B are in the ratio 3: 5. Four years later, the sum of their ages is 48. Find their present ages. 9. A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct? 10. A sum of money is divided among Ron and Andy in the ratio 4: 7. If Andy's share is $616, find total the money. 11. An amount of money is to be divided among P, Q and R in the ratio 3:7:12. The difference between the shares of P and Q is $2400. What will be the difference between the shares of Q and R ? 12. Ramon has notes of $100, $50 and $10 respectively. The ratio of these notes is 2:3:5 and the total amount is $2,00,000, Find the numbers of notes of each kind. 13. Divide $430 into 3 parts such that A gets 5/4 of B and the ratio between B and C is 3:4. 14. The monthly incomes of two persons are in the ratio 4:5 and their monthly expenditures are in the ratio 7:9. If each saves $50 per month, find the monthly income of the second person. 15. A certain sum of money is divided among A, B, C in the ratio 2:3 :4. If A's share is $200, find the share of B and C. 16. Divide $940 among A, B, C in the ratio 1/3: 1/4 : 1/5 17. In a library the ratio of English books to Math books, is the same as the ratio of Math books to Science book. If there are 1200 books on English and 1800 books on Math, find the number of Science books. 18. The ratio of the prices of two houses was 16 : 23. Two years later when the price of the first has increased by 10% and that of the second by $477, the ratio of the prices becomes 11 : 20. Find the original price of the first house. 19. The ratio of monthly income to the savings in a family is 5:4 If the savings be $9000, find the income and the expenses. 20. The ratio of number of male and female teachers in a school is 3: 4. If there are 16 female teachers, find the number of male teachers.
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